This page shows the best results reported in the following paper:


Una Benlic and Jin-Kao Hao. An Effective Multilevel Tabu Search Approach for Balanced Graph Partitioning. Computers & Operations Research 38(7): 1066-1075, 2011. 

Table1. Best results obtained by Multilevel Iterative Tabu Search (MITS) algorithm in the paper above for number of subsets k set to 2, 4, 8, 16, 32 and 64

Instances 2 4 8 16 32 64
add20 636 1176 1697 2063 2406 (1.01) 3108
data 189 383 672 1146 1838 (1.01) 2862 (1.04)
3elt 90 201 346 576 970 1559 (1.01)
uk 20 42 86 153 265 (1.01) 463
add32 10 33 66 117 212 (1.01) 522 (1.01)
bcsstk33 10171 21779 34464 54841 78054 107980 (1.01)
whitaker3 127 382 657 1096 1702 2558
crack 184 366 680 1096 1695 2569 (1.01)
wing_nodal 1707 3577 5439 8353 11844 15904 (1.01)
fe_4elt2 130 349 610 1010 1638 2519
vibrobox 10343 19143 24609 32197 40053 47651 (1.01)
bcsstk29 2843 8475 15245 23262 35422 57074 (1.01)
4elt 139 327 547 942 1564 2595
fe_sphere 386 770 1167 1737 2543 3634
cti 334 955 1797 2867 4163 5885
memplus 5672 9677 11858 13062 14220 16665
cs4 374 939 1451 2105 2952 4066
bcsstk30 6394 16686 34898 70681 114493 172929
bcsstk31 2762 7395 13371 23930 37652 58625
fe_pwt 340 707 1450 2838 5683 8335
bcsstk32 4667 9401 21102 36650 61211 92717
fe_body 262 621 1048 1774 2935 4879
t60k 82 219 478 880 1441 2259
wing 807 1638 2517 3890 5649 7712
brack2 731 3084 7144 11649 17490 26088
finan512 162 324 648 1296 2592 10560
fe_tooth 3823 6919 11480 17437 25045 34593
fe_rotor 2098 7294 12864 20483 31383 46110
598a 2399 8032 15927 25817 38693 56378
fe_ocean 464 1886 4216 7771 12811 20068

Notes: