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STEINER TRIPLE COVERING PROBLEM test instances | ||
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Let n = number of variables | ||
m = number of triples | ||
T(i) = set of 3 indices of i-th triple | ||
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The problem is; | ||
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MIN \sum_{j=1]^n x_j | ||
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SUBJ. TO: | ||
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\sum_{j \in T(i)} x_j \geq 1, for i = 1,...,m, | ||
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x_j \in {0,1} for all j = 1,...,n | ||
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The following files are in the distribution: | ||
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FILE : INSTANCE : n : m | ||
............................................ | ||
data.9 : stn9 : 9 : 12 | ||
data.15 : stn15 : 15 : 35 | ||
data.27 : stn27 : 27 : 117 | ||
data.45 : stn45 : 45 : 330 | ||
data.81 : stn81 : 81 : 1080 | ||
data.135 : stn135 : 135 : 3015 | ||
data.243 : stn243 : 243 : 9801 | ||
data.405 : stn405 : 405 : 27270 | ||
data.729 : stn729 : 729 : 88452 | ||
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The file format is: | ||
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Line 1: n m | ||
Lines 2 to m+1: 3 variable indices for triple | ||
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Best known solutions | ||
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stn9 : 5 optimal (Fulkerson et al., 1974) | ||
stn15 : 9 optimal (Fulkerson et al., 1974) | ||
stn27 : 18 optimal (Fulkerson et al., 1974) | ||
stn45 : 30 optimal (Ratliff, 1979) | ||
stn81 : 61 optimal (Mannino and Sassano, 1995) | ||
stn135 : 103 optimal (Ostrowski et al., 2009, 2010) | ||
stn243 : 198 optimal (Ostrowski et al., 2009, 2010) | ||
stn405 : 335 BKS (Resende & Toso, 2010) | ||
stn729 : 617 BKS (Resende & Toso, 2010) | ||
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