Gap inequalities for the max-cut problem: a cutting-plane algorithm

Galli, Laura and Kaparis, Konstantinos and Letchford, Adam (2012) Gap inequalities for the max-cut problem: a cutting-plane algorithm. In: Combinatorial Optimization. Lecture Notes in Computer Science . Springer, Berlin, pp. 178-188. ISBN 9783642321467

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Laurent & Poljak introduced a class of valid inequalities for the max-cut problem, called gap inequalities, which include many other known inequalities as special cases. The gap inequalities have received little attention and are poorly understood. This paper presents the first ever computational results. In particular, we describe a cutting-plane scheme based on an effective heuristic separation algorithm for gap inequalities, and show that these yield extremely strong upper bounds in practice.

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31 Jan 2012 11:48
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21 Nov 2022 14:27