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<!DOCTYPE html>
<html lang="en">
<head>
<meta name="viewport" content="width=device-width" />
<title>⚡ Pluto.jl ⚡</title>
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<main><preamble><button class="runallchanged" title="Save and run all changed cells"><span></span></button></preamble><pluto-notebook id="edd05e0c-fa3f-11eb-08a9-17a086b97c2c"><pluto-cell class="code_folded " id="8e6d427c-f62a-11eb-131e-3357d8fad432"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><div class="markdown"><h1>Sobre Teoría de Percolación</h1>
</div></div></pluto-output><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">10.5 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="code_folded " id="91ebd6c0-fa4e-11eb-1453-e3217e276dfb"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><div class="markdown"><h3>Modelo de Barabasi-Albert</h3>
</div></div></pluto-output><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">18.1 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="ba216328-fa4c-11eb-0c08-fbbe22b707ab"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y rich_output " mime="text/plain"><assignee></assignee><div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.864105224609375px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-keyword">using</span> <span class="cm-variable">GraphRecipes</span></span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">21.1 s</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="c2344572-fabe-11eb-1049-651fc12fe17b"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><nav class="plutoui-toc aside indent">
<header>Sobre Teoría de Percolación</header>
<section><span><div class="toc-row"><a class="H1" href="#8e6d427c-f62a-11eb-131e-3357d8fad432">Sobre Teoría de Percolación</a></div><div class="toc-row"><a class="H3" href="#91ebd6c0-fa4e-11eb-1453-e3217e276dfb">Modelo de Barabasi-Albert</a></div><div class="toc-row"><a class="H3" href="#d4783d24-fabe-11eb-1a65-a96571209d30">Transición de fase en el modelo de BA</a></div><div class="toc-row"><a class="H3" href="#1ab8c60e-fa1b-11eb-0c7e-b34fbfa7ecbb">Conceptos básicos de percolación</a></div><div class="toc-row"><a class="H3" href="#5d80b556-fa1f-11eb-3cf1-6703efcbb300">Descripción del problema</a></div><div class="toc-row"><a class="H3" href="#eedd8c00-fabe-11eb-1671-f3e031293385">Fuentes y trabajo futuro</a></div></span></section>
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</style></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8641357421875px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-variable">PlutoUI</span><span class="cm-operator">.</span><span class="cm-builtin">TableOfContents</span>(<span class="cm-variable">aside</span><span class="cm-operator">=</span><span class="cm-builtin">true</span>, <span class="cm-variable">title</span><span class="cm-operator">=</span><span class="cm-string">"Sobre Teoría de Percolación"</span>)</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">50.5 ms</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="707c6828-fa4a-11eb-31a6-19b6713fd616"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y rich_output " mime="text/plain"><assignee></assignee><div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8641357421875px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-keyword">using</span> <span class="cm-variable">LightGraphs</span></span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">397 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="code_folded " id="e1c28daa-fab3-11eb-187d-3b4cb5788abb"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><div class="markdown"><p>Comenzamos con <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="0" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="2.899ex" height="1.375ex" role="img" focusable="false" viewBox="0 -442 1281.6 607.6" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.375ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D45A"></use></g><g data-mml-node="mn" transform="translate(878, -150) scale(0.707)"><use xlink:href="#MJX-TEX-N-30"></use></g></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>m</mi><mn>0</mn></msub></math></mjx-assistive-mml></mjx-container></span> vértices, las aristas entre ellos son elegidas arbitrariamente, siempre que cada vértice tiene al menos una arista. La red se desarrolla siguiendo los siguientes dos pasos:</p>
<p>a) Crecimiento: En cada paso de tiempo, agregamos un nuevo vértice con <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="1" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="9.253ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 4089.8 1000" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.566ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D45A"></use></g><g data-mml-node="mo" transform="translate(878, 0)"><use xlink:href="#MJX-TEX-N-28"></use></g><g data-mml-node="mo" transform="translate(1267, 0)"><use xlink:href="#MJX-TEX-N-2264"></use></g><g data-mml-node="mi" transform="translate(2322.8, 0)"><use xlink:href="#MJX-TEX-I-1D45A"></use></g><g data-mml-node="mn" transform="translate(3200.8, 0)"><use xlink:href="#MJX-TEX-N-30"></use></g><g data-mml-node="mo" transform="translate(3700.8, 0)"><use xlink:href="#MJX-TEX-N-29"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi><mo stretchy="false">(</mo><mo>≤</mo><mi>m</mi><mn>0</mn><mo stretchy="false">)</mo></math></mjx-assistive-mml></mjx-container></span> aristas que conectan el nuevo vértice con <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="2" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="1.986ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 878 453" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.025ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D45A"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>m</mi></math></mjx-assistive-mml></mjx-container></span> vértices que ya están en la red.</p>
<p>b) Enlace preferencial: La probabilidad <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="3" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="4.636ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 2049 1000" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.566ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="TeXAtom" data-mjx-texclass="ORD"><g data-mml-node="mo"><use xlink:href="#MJX-TEX-N-3A0"></use></g></g><g data-mml-node="mo" transform="translate(750, 0)"><use xlink:href="#MJX-TEX-N-28"></use></g><g data-mml-node="mi" transform="translate(1139, 0)"><use xlink:href="#MJX-TEX-I-1D458"></use></g><g data-mml-node="mo" transform="translate(1660, 0)"><use xlink:href="#MJX-TEX-N-29"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mrow><mo>Π</mo></mrow><mo stretchy="false">(</mo><mi>k</mi><mo stretchy="false">)</mo></math></mjx-assistive-mml></mjx-container></span> de que un enlace del nuevo vértice se conecte al vértice <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="4" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="0.781ex" height="1.52ex" role="img" focusable="false" viewBox="0 -661 345 672" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.025ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D456"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>i</mi></math></mjx-assistive-mml></mjx-container></span> depende del grado <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="5" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="1.844ex" height="1.927ex" role="img" focusable="false" viewBox="0 -694 815 851.8" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.357ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D458"></use></g><g data-mml-node="mi" transform="translate(521, -150) scale(0.707)"><use xlink:href="#MJX-TEX-I-1D456"></use></g></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>k</mi><mi>i</mi></msub></math></mjx-assistive-mml></mjx-container></span> siguiendo <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="6" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="13.824ex" height="3.657ex" role="img" focusable="false" viewBox="0 -942.3 6110.2 1616.4" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -1.525ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-N-3A0"></use></g><g data-mml-node="mo" transform="translate(750, 0)"><use xlink:href="#MJX-TEX-N-28"></use></g><g data-mml-node="msub" transform="translate(1139, 0)"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D458"></use></g><g data-mml-node="mi" transform="translate(521, -150) scale(0.707)"><use xlink:href="#MJX-TEX-I-1D456"></use></g></g><g data-mml-node="mo" transform="translate(1954, 0)"><use xlink:href="#MJX-TEX-N-29"></use></g><g data-mml-node="mo" transform="translate(2620.7, 0)"><use xlink:href="#MJX-TEX-N-3D"></use></g><g data-mml-node="mfrac" transform="translate(3676.5, 0)"><g data-mml-node="msub" transform="translate(789.7, 451.6) scale(0.707)"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D458"></use></g><g data-mml-node="mi" transform="translate(521, -150) scale(0.707)"><use xlink:href="#MJX-TEX-I-1D456"></use></g></g><g data-mml-node="mrow" transform="translate(220, -370.3) scale(0.707)"><g data-mml-node="munder"><g data-mml-node="mo"><use xlink:href="#MJX-TEX-SO-2211"></use></g><g data-mml-node="TeXAtom" transform="translate(1056, -285.4) scale(0.707)" data-mjx-texclass="ORD"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D457"></use></g></g></g><g data-mml-node="msub" transform="translate(1564, 0)"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D458"></use></g><g data-mml-node="mi" transform="translate(521, -150) scale(0.707)"><use xlink:href="#MJX-TEX-I-1D457"></use></g></g></g><rect width="1915.7" height="60" x="120" y="220"></rect></g><g data-mml-node="mo" transform="translate(5832.2, 0)"><use xlink:href="#MJX-TEX-N-2E"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi mathvariant="normal">Π</mi><mo stretchy="false">(</mo><msub><mi>k</mi><mi>i</mi></msub><mo stretchy="false">)</mo><mo>=</mo><mfrac><msub><mi>k</mi><mi>i</mi></msub><mrow><munder><mo data-mjx-texclass="OP">∑</mo><mrow><mi>j</mi></mrow></munder><msub><mi>k</mi><mi>j</mi></msub></mrow></mfrac><mo>.</mo></math></mjx-assistive-mml></mjx-container></span></p>
<p>El enlace preferencial es un mecanismo probabilístico: un nuevo vértice puede conectarse libremente a cualquier vértice de la red, ya sea un hub o a un enlace único. La ecuación anbterior implica que si un nuevo vértice puede elegir entre un vértice de grado dos y uno de grado cuatro, es dos veces más probable que se conecte al vértice de grado cuatro.</p>
</div></div></pluto-output><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">33.1 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="code_folded " id="5ceaba4c-fab5-11eb-1935-4518850730f6"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><div class="markdown"><p>La siguiente es una función del paquetre LightGraphs que genera el modelo. Esta crea una gráfica aleatoria del modelo de Barabási-Albert con <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="7" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="1.357ex" height="1.025ex" role="img" focusable="false" viewBox="0 -442 600 453" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.025ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D45B"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi></math></mjx-assistive-mml></mjx-container></span> vértices. Se hace crecer agregando nuevos vértices a uà gráfica inicial con <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="8" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="2.489ex" height="1.557ex" role="img" focusable="false" viewBox="0 -666 1100 688" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.05ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D45B"></use></g><g data-mml-node="mn" transform="translate(600, 0)"><use xlink:href="#MJX-TEX-N-30"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>n</mi><mn>0</mn></math></mjx-assistive-mml></mjx-container></span> vértices. Cada nuevo vértice se adjunta con <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="9" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.025ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D458"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math></mjx-assistive-mml></mjx-container></span> aristas a <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="10" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.025ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D458"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math></mjx-assistive-mml></mjx-container></span> diferentes vértices ya presentes en el sistema mediante un enlace preferencial. Las gráficas iniciales no están dirigidas y constan de vértices aislados de forma predeterminada.</p>
</div></div></pluto-output><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">8.9 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="5611c6cc-fa4f-11eb-3521-0f0d2fd67f72"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><bond def="n0"><input type="range" min="5" step="1" max="10" value="5"></bond></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8641357421875px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-meta">@bind</span> <span class="cm-variable">n0</span> <span class="cm-builtin">Slider</span>(<span class="cm-number">5</span><span class="cm-operator">:</span><span class="cm-number">10</span>)</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">85.6 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="d355d844-fa4f-11eb-2f3b-496ab03ce67b"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><!--?xml version="1.0" encoding="utf-8"?-->
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</div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8641357421875px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>4</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-keyword">begin</span></span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">2</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-variable">g</span> <span class="cm-operator">=</span> <span class="cm-builtin">barabasi_albert</span>(<span class="cm-number">12</span>, <span class="cm-variable">n0</span>,<span class="cm-number">5</span>)</span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">3</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-builtin">graphplot</span>(<span class="cm-variable">g</span>, <span class="cm-variable">curves</span><span class="cm-operator">=</span><span class="cm-builtin">false</span>)</span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">4</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-keyword">end</span></span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 70px;"></div><div class="CodeMirror-gutters" style="height: 120px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">91.0 ms</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="d4783d24-fabe-11eb-1a65-a96571209d30"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><div class="markdown"><h3>Transición de fase en el modelo de BA</h3>
</div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8641357421875px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-string">md"""### Transición de fase en el modelo de BA"""</span></span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">18.1 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="code_folded " id="e2afe1a6-fab6-11eb-08df-9baeedf9317a"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><div class="markdown"><p>Una pregunta natural que podemos hacernos es: ¿cuándo está conectada <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="11" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="11.993ex" height="2.262ex" role="img" focusable="false" viewBox="0 -750 5300.9 1000" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.566ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D435"></use></g><g data-mml-node="mi" transform="translate(759, 0)"><use xlink:href="#MJX-TEX-I-1D434"></use></g><g data-mml-node="mo" transform="translate(1509, 0)"><use xlink:href="#MJX-TEX-N-28"></use></g><g data-mml-node="mi" transform="translate(1898, 0)"><use xlink:href="#MJX-TEX-I-1D45B"></use></g><g data-mml-node="mo" transform="translate(2498, 0)"><use xlink:href="#MJX-TEX-N-2C"></use></g><g data-mml-node="msub" transform="translate(2942.7, 0)"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D45B"></use></g><g data-mml-node="mn" transform="translate(600, -150) scale(0.707)"><use xlink:href="#MJX-TEX-N-30"></use></g></g><g data-mml-node="mo" transform="translate(3946.2, 0)"><use xlink:href="#MJX-TEX-N-2C"></use></g><g data-mml-node="mi" transform="translate(4390.9, 0)"><use xlink:href="#MJX-TEX-I-1D458"></use></g><g data-mml-node="mo" transform="translate(4911.9, 0)"><use xlink:href="#MJX-TEX-N-29"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>B</mi><mi>A</mi><mo stretchy="false">(</mo><mi>n</mi><mo>,</mo><msub><mi>n</mi><mn>0</mn></msub><mo>,</mo><mi>k</mi><mo stretchy="false">)</mo></math></mjx-assistive-mml></mjx-container></span>? Para ello usaremos la función is_connected para verificar en varios valores de <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="12" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="2.27ex" height="1.375ex" role="img" focusable="false" viewBox="0 -442 1003.6 607.6" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.375ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D45B"></use></g><g data-mml-node="mn" transform="translate(600, -150) scale(0.707)"><use xlink:href="#MJX-TEX-N-30"></use></g></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>n</mi><mn>0</mn></msub></math></mjx-assistive-mml></mjx-container></span> y <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="13" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.025ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D458"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math></mjx-assistive-mml></mjx-container></span> en qué momento toda la red se encuentra conectada. Esto corresponde con un cambio de fase en el modelo que representa esta red. </p>
<p>Nótese que por las propiedades de Pluto, al variar la gráfica g, el resultado de la función irá variando. </p>
</div></div></pluto-output><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">15.0 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="7b6b265e-fab6-11eb-3993-a1ea0ebe7a16"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y " mime="text/plain"><assignee></assignee><div><pre><code>true</code></pre></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8641357421875px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-builtin">is_connected</span>(<span class="cm-variable">g</span>)</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">5.9 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="code_folded " id="176be4cc-fabb-11eb-05a4-db6723be5ed3"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><div class="markdown"><p>Obtenemos las componentes conexas de g y luego el tamaño de la más grande</p>
</div></div></pluto-output><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">29.4 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="22924a36-faba-11eb-2b50-c74fcf87051d"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="" mime="application/vnd.pluto.tree+object"><assignee>c_comp</assignee><div><jltree class="collapsed">Array{Int64,1}<jlarray class="Array"><r><k>1</k><v><jltree class="collapsed">Int64<jlarray class="Array"><r><k>1</k><v><pre>1</pre></v></r><r><k>2</k><v><pre>2</pre></v></r><r><k>3</k><v><pre>3</pre></v></r><r><k>4</k><v><pre>4</pre></v></r><r><k>5</k><v><pre>5</pre></v></r><r><k>6</k><v><pre>6</pre></v></r><r><k>7</k><v><pre>7</pre></v></r><r><k>8</k><v><pre>8</pre></v></r><r><k>9</k><v><pre>9</pre></v></r><r><k>10</k><v><pre>10</pre></v></r><r><k>11</k><v><pre>11</pre></v></r><r><k>12</k><v><pre>12</pre></v></r></jlarray></jltree></v></r></jlarray></jltree></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8641357421875px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-variable">c_comp</span> <span class="cm-operator">=</span> <span class="cm-builtin">connected_components</span>(<span class="cm-variable">g</span>)</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">10.6 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="7f3f3dd4-faba-11eb-3b10-bdf9961ffda1"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y " mime="text/plain"><assignee></assignee><div><pre><code>12</code></pre></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8641357421875px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-builtin">maximum</span>(<span class="cm-variable">length</span><span class="cm-operator">.</span>(<span class="cm-variable">c_comp</span>))</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">3.8 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="code_folded " id="855e718e-fabb-11eb-050b-718ddc7256e7"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><div class="markdown"><p>Generamos ahora 100 gráficas BA y obtenemos de cada una de ella el tamaño de la componente conexa más grande. Comenzaremos primero variando el valor <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="14" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="2.27ex" height="1.375ex" role="img" focusable="false" viewBox="0 -442 1003.6 607.6" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.375ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D45B"></use></g><g data-mml-node="mn" transform="translate(600, -150) scale(0.707)"><use xlink:href="#MJX-TEX-N-30"></use></g></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>n</mi><mn>0</mn></msub></math></mjx-assistive-mml></mjx-container></span>y luego el valor de <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="15" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.025ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D458"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math></mjx-assistive-mml></mjx-container></span>.</p>
</div></div></pluto-output><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">9.6 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="108fa28a-fab9-11eb-0ab8-1b971c2c0dbf"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y rich_output " mime="text/plain"><assignee></assignee><div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8641357421875px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-keyword">using</span> <span class="cm-variable">PyCall</span></span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">371 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="20e16c34-fab9-11eb-1fd2-7599e4e4e1c9"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y " mime="text/plain"><assignee>np</assignee><div><pre><code>PyObject <module 'numpy' from '/Users/victor_sanz/.julia/conda/3/lib/python3.9/site-packages/numpy/__init__.py'></code></pre></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8642578125px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-variable">np</span> <span class="cm-operator">=</span> <span class="cm-builtin">pyimport</span>(<span class="cm-string">"numpy"</span>)</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">66.8 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="5eedfc0a-fab7-11eb-11e1-77aec110c445"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="" mime="application/vnd.pluto.tree+object"><assignee>n0_array</assignee><div><jltree class="collapsed">Int64<jlarray class="Array"><r><k>1</k><v><pre>10</pre></v></r><r><k>2</k><v><pre>20</pre></v></r><r><k>3</k><v><pre>30</pre></v></r><r><k>4</k><v><pre>40</pre></v></r><r><k>5</k><v><pre>50</pre></v></r><r><k>6</k><v><pre>60</pre></v></r><r><k>7</k><v><pre>70</pre></v></r><r><k>8</k><v><pre>80</pre></v></r><r><k>9</k><v><pre>90</pre></v></r><r><k>10</k><v><pre>100</pre></v></r><r><k>11</k><v><pre>110</pre></v></r><r><k>12</k><v><pre>120</pre></v></r><r><k>13</k><v><pre>130</pre></v></r><r><k>14</k><v><pre>140</pre></v></r><r><k>15</k><v><pre>150</pre></v></r><r><k>16</k><v><pre>160</pre></v></r><r><k>17</k><v><pre>170</pre></v></r><r><k>18</k><v><pre>180</pre></v></r><r><k>19</k><v><pre>190</pre></v></r><r><k>20</k><v><pre>200</pre></v></r><r><jlmore class="">more</jlmore></r><r><k>91</k><v><pre>910</pre></v></r><r><k>92</k><v><pre>920</pre></v></r><r><k>93</k><v><pre>930</pre></v></r><r><k>94</k><v><pre>940</pre></v></r><r><k>95</k><v><pre>950</pre></v></r><r><k>96</k><v><pre>960</pre></v></r><r><k>97</k><v><pre>970</pre></v></r><r><k>98</k><v><pre>980</pre></v></r><r><k>99</k><v><pre>990</pre></v></r><r><k>100</k><v><pre>1000</pre></v></r></jlarray></jltree></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8642578125px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-variable">n0_array</span> <span class="cm-operator">=</span> <span class="cm-variable">np</span><span class="cm-operator">.</span><span class="cm-builtin">arange</span>(<span class="cm-number">10</span>, <span class="cm-number">1010</span>,<span class="cm-number">10</span> )</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">304 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="4f80321c-fab8-11eb-2581-8989e71dd9a2"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="" mime="application/vnd.pluto.tree+object"><assignee>connected_n0</assignee><div><jltree class="collapsed">Any<jlarray class="Array"></jlarray></jltree></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.864013671875px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-variable">connected_n0</span><span class="cm-operator">=</span>[]</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">165 ns</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="2f7ffae4-fab8-11eb-2e7b-11dc13b26851"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y rich_output " mime="text/plain"><assignee></assignee><div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8642578125px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>6</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation" style=""><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-keyword">for</span> <span class="cm-variable">n0</span> <span class="cm-operator">in</span> <span class="cm-variable">n0_array</span></span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">2</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-variable">h</span> <span class="cm-operator">=</span> <span class="cm-builtin">barabasi_albert</span>(<span class="cm-number">1010</span>, <span class="cm-variable">n0</span>,<span class="cm-number">10</span>)</span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">3</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-variable">c_comp</span> <span class="cm-operator">=</span> <span class="cm-builtin">connected_components</span>(<span class="cm-variable">h</span>)</span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">4</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-variable">connected</span> <span class="cm-operator">=</span> <span class="cm-builtin">maximum</span>(<span class="cm-variable">length</span><span class="cm-operator">.</span>(<span class="cm-variable">c_comp</span>))</span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">5</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-builtin">push!</span>(<span class="cm-variable">connected_n0</span>,<span class="cm-variable">connected</span>)</span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">6</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-keyword">end</span></span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 102px;"></div><div class="CodeMirror-gutters" style="height: 152px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">360 ms</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="code_folded " id="5bc5c400-fab9-11eb-114d-312f9139ae71"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><!--?xml version="1.0" encoding="utf-8"?-->
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</div></pluto-output><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">3.3 ms</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="6ade9dee-fabc-11eb-07c6-8fde2683c9e7"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="" mime="application/vnd.pluto.tree+object"><assignee>k_array</assignee><div><jltree class="collapsed">Int64<jlarray class="Array"><r><k>1</k><v><pre>10</pre></v></r><r><k>2</k><v><pre>11</pre></v></r><r><k>3</k><v><pre>12</pre></v></r><r><k>4</k><v><pre>13</pre></v></r><r><k>5</k><v><pre>14</pre></v></r><r><k>6</k><v><pre>15</pre></v></r><r><k>7</k><v><pre>16</pre></v></r><r><k>8</k><v><pre>17</pre></v></r><r><k>9</k><v><pre>18</pre></v></r><r><k>10</k><v><pre>19</pre></v></r><r><k>11</k><v><pre>20</pre></v></r><r><k>12</k><v><pre>21</pre></v></r><r><k>13</k><v><pre>22</pre></v></r><r><k>14</k><v><pre>23</pre></v></r><r><k>15</k><v><pre>24</pre></v></r><r><k>16</k><v><pre>25</pre></v></r><r><k>17</k><v><pre>26</pre></v></r><r><k>18</k><v><pre>27</pre></v></r><r><k>19</k><v><pre>28</pre></v></r><r><k>20</k><v><pre>29</pre></v></r><r><jlmore class="">more</jlmore></r><r><k>81</k><v><pre>90</pre></v></r><r><k>82</k><v><pre>91</pre></v></r><r><k>83</k><v><pre>92</pre></v></r><r><k>84</k><v><pre>93</pre></v></r><r><k>85</k><v><pre>94</pre></v></r><r><k>86</k><v><pre>95</pre></v></r><r><k>87</k><v><pre>96</pre></v></r><r><k>88</k><v><pre>97</pre></v></r><r><k>89</k><v><pre>98</pre></v></r><r><k>90</k><v><pre>99</pre></v></r></jlarray></jltree></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8642578125px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-variable">k_array</span> <span class="cm-operator">=</span> <span class="cm-variable">np</span><span class="cm-operator">.</span><span class="cm-builtin">arange</span>(<span class="cm-number">10</span>,<span class="cm-number">100</span>,<span class="cm-number">1</span> )</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">104 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="48a0deac-fabc-11eb-242e-eb0df0411472"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="" mime="application/vnd.pluto.tree+object"><assignee>connected_k</assignee><div><jltree class="collapsed">Any<jlarray class="Array"></jlarray></jltree></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8642578125px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-variable">connected_k</span><span class="cm-operator">=</span>[]</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">125 ns</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="443490b6-fabc-11eb-3028-956a647500a7"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y rich_output " mime="text/plain"><assignee></assignee><div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8642578125px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>6</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation" style=""><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-keyword">for</span> <span class="cm-variable">k</span> <span class="cm-operator">in</span> <span class="cm-variable">k_array</span> </span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">2</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-variable">h1</span> <span class="cm-operator">=</span> <span class="cm-builtin">barabasi_albert</span>(<span class="cm-number">1000</span>, <span class="cm-number">110</span> ,<span class="cm-variable">k</span>)</span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">3</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-variable">c_comp</span> <span class="cm-operator">=</span> <span class="cm-builtin">connected_components</span>(<span class="cm-variable">h1</span>)</span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">4</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-variable">connected</span> <span class="cm-operator">=</span> <span class="cm-builtin">maximum</span>(<span class="cm-variable">length</span><span class="cm-operator">.</span>(<span class="cm-variable">c_comp</span>))</span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">5</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-builtin">push!</span>(<span class="cm-variable">connected_k</span>,<span class="cm-variable">connected</span>)</span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; 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</div></pluto-output><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">293 ms</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="code_folded " id="26bdc984-fabd-11eb-3d16-b9a85623c7fb"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><div class="markdown"><p>Tal como vemos existe una relación inversa en el caso de <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="16" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="2.27ex" height="1.375ex" role="img" focusable="false" viewBox="0 -442 1003.6 607.6" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.375ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="msub"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D45B"></use></g><g data-mml-node="mn" transform="translate(600, -150) scale(0.707)"><use xlink:href="#MJX-TEX-N-30"></use></g></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><msub><mi>n</mi><mn>0</mn></msub></math></mjx-assistive-mml></mjx-container></span> y una relación directa en el caso de <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="17" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="1.179ex" height="1.595ex" role="img" focusable="false" viewBox="0 -694 521 705" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.025ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D458"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>k</mi></math></mjx-assistive-mml></mjx-container></span>.</p>
<p>Si bien, esto es una pequeña prueba que nos da una idea de lo que sucede con estos cambios de fase. Existen modelos probabilísticos, nada triviales, para determinar las transiciones de fase de percolación para gráficas de libre escala como la de Barabasi-Albert que aquí presentamos.</p>
</div></div></pluto-output><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">11.5 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="code_folded " id="1ab8c60e-fa1b-11eb-0c7e-b34fbfa7ecbb"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><div class="markdown"><h3>Conceptos básicos de percolación</h3>
</div></div></pluto-output><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">7.0 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="code_folded " id="a8d72f88-fa1c-11eb-2a48-cb2ef72523c5"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="rich_output " mime="text/html"><assignee></assignee><div><div class="markdown"><p>Generamos primero una retícula de tamaño <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="18" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="5.847ex" height="1.545ex" role="img" focusable="false" viewBox="0 -683 2584.4 683" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: 0px;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D43F"></use></g><g data-mml-node="mo" transform="translate(903.2, 0)"><use xlink:href="#MJX-TEX-N-D7"></use></g><g data-mml-node="mi" transform="translate(1903.4, 0)"><use xlink:href="#MJX-TEX-I-1D43F"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>L</mi><mo>×</mo><mi>L</mi></math></mjx-assistive-mml></mjx-container></span> de puntos que son ocupados con una probabilidad <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="19" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.439ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D45D"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math></mjx-assistive-mml></mjx-container></span>. Esta retícula corresponde con un medio de porosidad <span class="tex"><mjx-container class="MathJax CtxtMenu_Attached_0" jax="SVG" role="presentation" tabindex="0" ctxtmenu_counter="20" style="position: relative;"><svg xmlns="http://www.w3.org/2000/svg" width="1.138ex" height="1.439ex" role="img" focusable="false" viewBox="0 -442 503 636" xmlns:xlink="http://www.w3.org/1999/xlink" aria-hidden="true" style="vertical-align: -0.439ex;"><g stroke="currentColor" fill="currentColor" stroke-width="0" transform="matrix(1 0 0 -1 0 0)"><g data-mml-node="math"><g data-mml-node="mi"><use xlink:href="#MJX-TEX-I-1D45D"></use></g></g></g></svg><mjx-assistive-mml role="presentation" unselectable="on" display="inline"><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>p</mi></math></mjx-assistive-mml></mjx-container></span>, consideramos que los sitios ocupados son agujeros en este material.</p>
</div></div></pluto-output><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">37.7 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="cd7ab7a6-fa1e-11eb-32aa-7f63f6cac169"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y rich_output " mime="text/plain"><assignee></assignee><div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.864013671875px; left: 33.99456787109375px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.99456787109375px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-variable">L</span> <span class="cm-operator">=</span> <span class="cm-number">50</span>;</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">61.0 ns</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="c4e27804-f62a-11eb-0d23-bf1696bb918e"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y rich_output " mime="text/plain"><assignee></assignee><div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.864013671875px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-variable">init_random</span> <span class="cm-operator">=</span> <span class="cm-builtin">rand</span>(<span class="cm-variable">L</span>,<span class="cm-variable">L</span>);</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">12.8 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="d5dd16f0-f62a-11eb-0a97-4b049257f1e4"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y rich_output " mime="text/plain"><assignee></assignee><div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8642578125px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-variable">lattice_n</span> <span class="cm-operator">=</span> <span class="cm-builtin">zeros</span>(<span class="cm-variable">L</span>,<span class="cm-variable">L</span>);</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">4.8 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="9b926992-f633-11eb-2eeb-33efe059c235"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y rich_output " mime="text/plain"><assignee></assignee><div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8642578125px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-variable">lattice_p</span> <span class="cm-operator">=</span> <span class="cm-builtin">zeros</span>(<span class="cm-variable">L</span>,<span class="cm-variable">L</span>);</span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 23px;"></div><div class="CodeMirror-gutters" style="height: 73px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">7.5 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="d39d12ac-f637-11eb-2f46-c7acc5fd2020"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y rich_output " mime="text/plain"><assignee></assignee><div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8642578125px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>7</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation" style=""><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-keyword">for</span> <span class="cm-variable">t</span> <span class="cm-operator">in</span> <span class="cm-builtin">eachindex</span>(<span class="cm-variable">init_random</span>)</span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">2</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"> <span class="cm-keyword">if</span> <span class="cm-variable">init_random</span>[<span class="cm-variable">t</span>] <span class="cm-operator">>=</span> <span class="cm-number">0.75</span></span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">3</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"> <span class="cm-variable">lattice_n</span>[<span class="cm-variable">t</span>] <span class="cm-operator">=</span> <span class="cm-number">1</span></span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">4</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-tab" role="presentation" cm-text=" "> </span> <span class="cm-keyword">else</span></span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">5</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-tab" role="presentation" cm-text=" "> </span> <span class="cm-variable">lattice_n</span>[<span class="cm-variable">t</span>] <span class="cm-operator">=</span> <span class="cm-number">0</span></span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">6</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"> <span class="cm-tab" role="presentation" cm-text=" "> </span> <span class="cm-keyword">end</span></span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">7</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"> <span class="cm-keyword">end</span></span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 117px;"></div><div class="CodeMirror-gutters" style="height: 167px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">18.3 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="19a87a0a-f635-11eb-1bae-85b7a828b9b9"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y rich_output " mime="text/plain"><assignee></assignee><div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.86376953125px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>7</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation" style=""><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-keyword">for</span> <span class="cm-variable">t</span> <span class="cm-operator">in</span> <span class="cm-builtin">eachindex</span>(<span class="cm-variable">init_random</span>)</span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">2</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"> <span class="cm-keyword">if</span> <span class="cm-variable">init_random</span>[<span class="cm-variable">t</span>] <span class="cm-operator">>=</span> <span class="cm-number">0.25</span></span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">3</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"> <span class="cm-variable">lattice_p</span>[<span class="cm-variable">t</span>] <span class="cm-operator">=</span> <span class="cm-number">1</span></span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">4</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-tab" role="presentation" cm-text=" "> </span> <span class="cm-keyword">else</span></span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">5</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-tab" role="presentation" cm-text=" "> </span><span class="cm-tab" role="presentation" cm-text=" "> </span> <span class="cm-variable">lattice_p</span>[<span class="cm-variable">t</span>] <span class="cm-operator">=</span> <span class="cm-number">0</span></span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">6</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"> <span class="cm-tab" role="presentation" cm-text=" "> </span> <span class="cm-keyword">end</span></span></pre></div><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">7</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"> <span class="cm-keyword">end</span></span></pre></div></div></div></div></div></div><div style="position: absolute; height: 50px; width: 1px; border-bottom-width: 0px; border-bottom-style: solid; border-bottom-color: transparent; top: 117px;"></div><div class="CodeMirror-gutters" style="height: 167px; left: 0px;"><div class="CodeMirror-gutter CodeMirror-linenumbers" style="width: 29px;"></div></div></div></div></pluto-input><pluto-runarea><button class="runcell" title="Run"><span></span></button><span class="runtime">16.4 μs</span></pluto-runarea><button class="add_cell after" title="Add cell"><span></span></button></pluto-cell><pluto-cell class="" id="df1964f2-f635-11eb-22b9-d987e3d2e5be"><pluto-shoulder draggable="true" title="Drag to move cell"><button class="foldcode" title="Show/hide code"><span></span></button></pluto-shoulder><pluto-trafficlight></pluto-trafficlight><button class="add_cell before" title="Add cell"><span></span></button><pluto-output class="scroll_y rich_output " mime="text/plain"><assignee></assignee><div></div></pluto-output><pluto-input><button class="delete_cell" title="Delete cell"><span></span></button><div class="CodeMirror cm-s-default CodeMirror-wrap"><div style="overflow: hidden; position: relative; width: 3px; height: 0px; top: 4.8642578125px; left: 33.47826385498047px;"><textarea autocorrect="off" autocapitalize="off" spellcheck="false" tabindex="0" style="position: absolute; bottom: -1em; padding: 0px; width: 1000px; height: 1em; outline: none;"></textarea></div><div class="CodeMirror-vscrollbar" tabindex="-1" cm-not-content="true" style="width: 18px; pointer-events: none;"><div style="min-width: 1px; height: 0px;"></div></div><div class="CodeMirror-hscrollbar" tabindex="-1" cm-not-content="true" style="height: 18px; pointer-events: none;"><div style="height: 100%; min-height: 1px; width: 0px;"></div></div><div class="CodeMirror-scrollbar-filler" cm-not-content="true"></div><div class="CodeMirror-gutter-filler" cm-not-content="true"></div><div class="CodeMirror-scroll" tabindex="-1"><div class="CodeMirror-sizer" style="margin-left: 30px; margin-bottom: 0px; border-right-width: 50px; min-height: 23px; padding-right: 0px; padding-bottom: 0px;"><div style="position: relative; top: 0px;"><div class="CodeMirror-lines" role="presentation"><div role="presentation" style="position: relative; outline: none;"><div class="CodeMirror-measure"><pre class="CodeMirror-line-like"><span>xxxxxxxxxx</span></pre><div class="CodeMirror-linenumber CodeMirror-gutter-elt"><div>1</div></div></div><div class="CodeMirror-measure"></div><div style="position: relative; z-index: 1;"></div><div class="CodeMirror-cursors"><div class="CodeMirror-cursor" style="left: 3.4782638549804688px; top: 0px; height: 15.65217399597168px;"> </div></div><div class="CodeMirror-code" role="presentation"><div style="position: relative;"><div class="CodeMirror-gutter-wrapper" style="left: -30px;"><div class="CodeMirror-linenumber CodeMirror-gutter-elt" style="left: 0px; width: 21px;">1</div></div><pre class=" CodeMirror-line " role="presentation"><span role="presentation" style="padding-right: 0.1px;"><span class="cm-keyword">using</span> <span class="cm-variable">Plots</span></span></pre></div></div></div></div></div></div><div style="position: absolute; 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