Research Article
Binary Equilibrium Optimization Algorithm for Computing Connected Domination Metric Dimension Problem
Table 8
Results on nc4 ○ 2pn graph.
| nc4 ○ 2pn graph |
| N | M | | BEOA | BGWO | BPSO | BWO | BSMO | BGO | BAEO | BEHO |
| 4 | 4 | γcr | 2 | 2 | 2 | 2 | 2 | 2 | 2 | 2 | t(sec) | 19.2 | 31.4 | 27.1 | 49.8 | 43.9 | 62.5 | 54.8 | 47.5 | Iteration | 1 | 1 | 1 | 4 | 2 | 2 | 5 | 2 |
| 8 | 10 | γcr | 5 | 5 | 5 | 5 | 5 | 5 | 5 | 5 | t(sec) | 51.4 | 95.8 | 46.5 | 84.3 | 66.4 | 93.8 | 99.1 | 80.6 | Iteration | 2 | 3 | 2 | 7 | 5 | 4 | 9 | 6 |
| 12 | 16 | γcr | 6 | 6 | 6 | 6 | 6 | 6 | 6 | 6 | t(sec) | 99.3 | 148.5 | 103.4 | 112.6 | 101.7 | 139.3 | 128.4 | 119.2 | Iteration | 8 | 5 | 9 | 14 | 10 | 8 | 7 | 13 |
| 16 | 22 | γcr | 8 | 8 | 8 | 8 | 8 | 8 | 8 | 8 | t(sec) | 145.4 | 259.2 | 131.2 | 181.9 | 196.5 | 204.7 | 171.3 | 165.7 | Iteration | 13 | 18 | 15 | 23 | 19 | 32 | 14 | 25 |
| 20 | 28 | γcr | 10 | 10 | 10 | 10 | 10 | 10 | 10 | 10 | t(sec) | 234.1 | 374.1 | 285.8 | 299.1 | 271.8 | 262.3 | 256.9 | 240.4 | Iteration | 27 | 23 | 32 | 58 | 36 | 41 | 29 | 44 |
| 24 | 34 | γcr | 12 | 12 | 12 | 12 | 12 | 12 | 12 | 12 | t(sec) | 315.4 | 452.3 | 432.2 | 467.4 | 349.3 | 398.5 | 362.1 | 335.7 | Iteration | 34 | 69 | 48 | 71 | 55 | 46 | 37 | 50 |
| 28 | 40 | γcr | 14 | 14 | 14 | 14 | 14 | 14 | 14 | 14 | t(sec) | 452.2 | 561.8 | 590.3 | 594.3 | 512.8 | 529.2 | 478.9 | 496.4 | Iteration | 19 | 15 | 87 | 33 | 28 | 57 | 45 | 38 |
| 32 | 46 | γcr | 16 | 16 | 16 | 16 | 16 | 16 | 16 | 16 | t(sec) | 607.5 | 705.1 | 745.1 | 718.9 | 571.6 | 639.5 | 595.1 | 624.9 | Iteration | 25 | 43 | 103 | 85 | 37 | 64 | 59 | 41 |
| 36 | 52 | γcr | 18 | 18 | 18 | 18 | 18 | 18 | 18 | 18 | t(sec) | 748.4 | 890.3 | 913.6 | 794.3 | 789.2 | 802.6 | 757.4 | 763.8 | Iteration | 17 | 76 | 71 | 62 | 30 | 41 | 38 | 56 |
| 40 | 58 | γcr | 20 | 20 | 20 | 20 | 20 | 20 | 20 | 20 | t(sec) | 873.1 | 1087.8 | 1169.4 | 1015.6 | 918.3 | 1048.9 | 961.4 | 1091.1 | Iteration | 31 | 121 | 52 | 40 | 25 | 46 | 62 | 48 |
| 44 | 64 | γcr | 22 | 22 | 22 | 22 | 22 | 22 | 22 | 22 | t(sec) | 994.5 | 1264.2 | 1325.7 | 1293.8 | 1076.1 | 1181.4 | 1074.2 | 1238.4 | Iteration | 39 | 87 | 98 | 63 | 71 | 80 | 57 | 51 |
| 48 | 70 | γcr | 24 | 24 | 24 | 24 | 24 | 24 | 24 | 24 | t(sec) | 1127.2 | 1416.5 | 1694.8 | 1470.3 | 1213.9 | 1309.1 | 1256.9 | 1395.8 | Iteration | 22 | 49 | 63 | 134 | 36 | 51 | 68 | 77 |
| 52 | 76 | γcr | 26 | 26 | 26 | 26 | 26 | 26 | 26 | 26 | t(sec) | 1209.4 | 1634.2 | 1383.2 | 1596.4 | 1408.5 | 1484.6 | 1393.4 | 1504.1 | Iteration | 15 | 32 | 58 | 86 | 29 | 62 | 54 | 39 |
| 56 | 82 | γcr | 28 | 28 | 28 | 28 | 28 | 28 | 28 | 28 | t(sec) | 1028.4 | 1913.5 | 1894.1 | 1852.3 | 1543.8 | 1631.9 | 1519.2 | 1665.5 | Iteration | 19 | 76 | 71 | 79 | 37 | 55 | 46 | 43 |
| 60 | 88 | γcr | 30 | 30 | 30 | 30 | 30 | 30 | 30 | 30 | t(sec) | 1125.3 | 2026.9 | 2257.5 | 2067.4 | 1712.9 | 1822.6 | 1705.1 | 1839.3 | Iteration | 10 | 51 | 94 | 61 | 26 | 42 | 50 | 38 |
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