Table 3 Summary benchmark results comparing PBIL [ 19 ], degree and PageRank-based sequential algorithms, and the proposed greedy approach
From: Efficiently identifying critical nodes in large complex networks
Problem | | V | | | E | | K | PBIL | Degree | PageRank | Greedy |
|---|---|---|---|---|---|---|---|
ErdosRenyi | 235 | 350 | 50 | 6,700 | 1,086 | 1,953 | 3,011 |
ErdosRenyi | 466 | 700 | 80 | 44,255 | 9,299 | 25,892 | 28,994 |
ErdosRenyi | 941 | 1,400 | 140 | 225,576 | 123,947 | 113,752 | 116,135 |
ErdosRenyi | 2,344 | 3,500 | 200 | 2,009,132 | 1,851,950 | 1,708,603 | 1,395,584 |
BarabasiAlbert | 500 | 499 | 50 | 892 | 202 | 236 | 199 |
BarabasiAlbert | 1,000 | 999 | 75 | 3,057 | 622 | 689 | 559 |
BarabasiAlbert | 2,500 | 2,499 | 100 | 28,044 | 4,258 | 4,808 | 3,726 |
BarabasiAlbert | 5,000 | 4,999 | 150 | 146,753 | 13,038 | 13,971 | 10,216 |
WattsStrogatz | 250 | 1,246 | 70 | 13,768 | 16,110 | 16,110 | 16,110 |
WattsStrogatz | 500 | 1,496 | 125 | 53,779 | 70,125 | 62,149 | 69,751 |
WattsStrogatz | 1,000 | 4,996 | 200 | 308,596 | 319,600 | 319,600 | 319,600 |
WattsStrogatz | 1,500 | 4,498 | 265 | 703,241 | 761,995 | 700,474 | 761,995 |
ForestFire | 250 | 514 | 50 | 886 | 547 | 403 | 217 |
ForestFire | 500 | 828 | 110 | 1,904 | 902 | 490 | 293 |
ForestFire | 1,000 | 1,817 | 150 | 9,594 | 7,796 | 2,609 | 1,414 |
ForestFire | 2,000 | 3,413 | 200 | 12,569 | 27,451 | 11,419 | 5,002 |