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prim.java
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class Prim {
private static final int Vertices = 7;
// create Min_Key_Vertex() method
int min_key_vertex(int keys[], Boolean setOfMST[]) {
// Initialize min value and its index
int min_index = -1;
int mini_value = Integer.MAX_VALUE;
for (int i = 0; i < Vertices; i++)
if (setOfMST[i] == false && keys[i] < mini_value) {
mini_value = keys[i];
min_index = i;
}
return min_index;
}
void MinimumSpanningTree(int mstArray[], int graphArray[][]) {
System.out.println(" Edge \t\tWeight");
for (int j = 1; j < Vertices; j++)
System.out.println(" ( " + mstArray[j] + " --- " + j + "\t \t" + graphArray[j][mstArray[j]] + " ) ");
}
// create MST() method
void mst(int graphArray[][]) {
int mstArray[] = new int[Vertices];
int keys[] = new int[Vertices];
Boolean setOfMST[] = new Boolean[Vertices];
for (int j = 0; j < Vertices; j++) {
keys[j] = Integer.MAX_VALUE;
setOfMST[j] = false;
}
keys[0] = 0;
mstArray[0] = -1;
for (int i = 0; i < Vertices - 1; i++) {
int edge = min_key_vertex(keys, setOfMST);
setOfMST[edge] = true;
for (int vertex = 0; vertex < Vertices; vertex++)
if (graphArray[edge][vertex] != 0 && setOfMST[vertex] == false
&& graphArray[edge][vertex] < keys[vertex]) {
mstArray[vertex] = edge;
keys[vertex] = graphArray[edge][vertex];
}
}
MinimumSpanningTree(mstArray, graphArray);
}
public static void main(String[] args) {
Prim mst = new Prim();
int graphArray[][] = new int[][] {
{0 , 28, 0 , 0 , 0 , 10, 0 },
{28, 0 , 16, 0 , 0 , 0 , 14},
{0 , 16, 0 , 12, 0 , 0 , 0 },
{0 , 0 , 12, 0 , 22, 0 , 18},
{0 , 0 , 0 , 22, 0 , 25, 24},
{10, 0 , 0 , 0 , 25, 0 , 0 },
{0 , 14, 0 , 18, 24, 0 , 0 }
};
mst.mst(graphArray);
}
}