Galli, Laura and Kaparis, Konstantinos and Letchford, A N (2012) Complexity results for the gap inequalities for the max-cut problem. Operations Research Letters, 40 (3). pp. 149-152. ISSN 0167-6377
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We prove several complexity results about the gap inequalities for the max-cut problem, including (i) the gap-1 inequalities do not imply the other gap inequalities, unless NP=Co NP; (ii) there must exist non-redundant gap inequalities with exponentially large coefficients, unless NP=Co NP; (iii) the associated separation problem can be solved in finite (doubly exponential) time.
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