Table 1 Instance characteristics and results of the pre-processing phase
From: Solving the k-dominating set problem on very large-scale networks
Instances | NoC | NoR | ||||||
|---|---|---|---|---|---|---|---|---|
Name | |V| | |E| | \(k =1\) | \(k =2\) | \(k =3\) | \(k =1\) | \(k =2\) | \(k =3\) |
s-1 | 50 | 50 | 0 | 0 | 0 | 0 | 0 | 0 |
s-2 | 100 | 250 | 0 | 0 | 0 | 0 | 0 | 0 |
s-3 | 300 | 1000 | 0 | 0 | 0 | 0 | 0 | 0 |
s-4 | 800 | 10k | 0 | 0 | 1 | 0 | 0 | 800 |
s-5 | 1000 | 15k | 0 | 0 | 1 | 0 | 0 | 1000 |
soc-BlogCatalog | 89k | 2093k | 0 | 0 | 0 | 0 | 0 | 0 |
ca-GrQc | 4k | 13k | 0 | 0 | 0 | 0 | 0 | 0 |
ca-AstroPh | 18k | 197k | 0 | 0 | 0 | 0 | 0 | 0 |
ca-HepPh | 11k | 118k | 0 | 0 | 0 | 0 | 0 | 0 |
email-enron-large | 34k | 181k | 0 | 0 | 0 | 0 | 0 | 0 |
ca-CondMat | 21k | 91k | 0 | 0 | 0 | 0 | 0 | 0 |
soc-delicious | 536k | 1366k | 0 | 0 | 0 | 0 | 0 | 0 |
soc-flixster | 2523k | 7919k | 0 | 0 | 0 | 0 | 0 | 0 |
hugebubbles | 2680k | 2161k | 532k | 585k | 617k | 1063k | 1224k | 1360k |
soc-livejournal | 4033k | 27933k | 0 | 0 | 0 | 0 | 0 | 0 |
soc-partner-1 | 17642k | 33397k | 4850 | 4852 | 4852 | 4853 | 4867 | 4867 |
soc-partner-2 | 16819k | 26086k | 9799 | 9896 | 9896 | 9866 | 16171 | 16171 |