Rights statement: This is the author’s version of a work that was accepted for publication in Operations Research Letters. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Operations Research Letters, 46, 4, 2018 DOI: 10.1016/j.orl.2018.05.006
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Research output: Contribution to Journal/Magazine › Journal article › peer-review
Research output: Contribution to Journal/Magazine › Journal article › peer-review
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TY - JOUR
T1 - A note on the 2-circulant inequalities for the max-cut problem
AU - Kaparis, Konstantinos
AU - Letchford, Adam Nicholas
N1 - This is the author’s version of a work that was accepted for publication in Operations Research Letters. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Operations Research Letters, 46, 4, 2018 DOI: 10.1016/j.orl.2018.05.006
PY - 2018/7
Y1 - 2018/7
N2 - The max-cut problem is a much-studied NP-hard combinatorial optimisation problem. Poljak and Turzik found some facet-defining inequalities for this problem, which we call 2-circulant inequalities. Two polynomial-time separation algorithms have been found for these inequalities, but one is very slow and the other is very complicated. We present a third algorithm, which is as fast as the faster of the existing two, but much simpler.
AB - The max-cut problem is a much-studied NP-hard combinatorial optimisation problem. Poljak and Turzik found some facet-defining inequalities for this problem, which we call 2-circulant inequalities. Two polynomial-time separation algorithms have been found for these inequalities, but one is very slow and the other is very complicated. We present a third algorithm, which is as fast as the faster of the existing two, but much simpler.
KW - max-cut problem
KW - polyhedral combinatorics
KW - branch-and-cut
U2 - 10.1016/j.orl.2018.05.006
DO - 10.1016/j.orl.2018.05.006
M3 - Journal article
VL - 46
SP - 443
EP - 447
JO - Operations Research Letters
JF - Operations Research Letters
SN - 0167-6377
IS - 4
ER -