Una Benlic and Jin-Kao Hao. Breakout Local Search for Maximum Cut ProblemEngineering Applications of Artificial Intelligence 26(3): 1162-1173, 2013.


Improved solutions for 35 out of 71 instances from http://www.stanford.edu/~yyye/yyye/Gset/ for the maximum cut problem. The new improved results is given in parentheses.

G25(13340)G26(13328)G27(3341)G28(3298)G29(3405)G30(3413)G31(3309)G36(7678)G38(7687)G39(2408)G40(2400)G41(2405)G42(2481)G47(6657)G51(3848)G52(3851)G53(3850)G54(3852)G55(10294)G56(4012)G57(3492)G58(19263)G59(6078)G60(14176)G61(5789)G62(4868)G63(26997)G64(8735)G65(5558)G66(6360)G67(6940)G70(9541)G72(6998)G77(9926)G81(14030)

The solution in the output files is represented as a string of size n, where n is the number of vertices. The ith element has value 1 if the ith vertex is placed to the first partition subset, otherwise its value is 2.