Una Benlic and Jin-Kao Hao. Breakout Local Search for Maximum Cut Problem. Engineering 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.