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    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, 49, 4, 2021 DOI: 10.1016/j.orl.2021.06.008

    Accepted author manuscript, 290 KB, PDF document

    Embargo ends: 15/12/22

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Strengthened clique-family inequalities for the stable set polytope  

Research output: Contribution to journalJournal articlepeer-review

Published
<mark>Journal publication date</mark>31/07/2021
<mark>Journal</mark>Operations Research Letters
Issue number4
Volume49
Number of pages4
Pages (from-to)586-589
Publication StatusPublished
Early online date15/06/21
<mark>Original language</mark>English

Abstract

The stable set polytope is a fundamental object in combinatorial optimisation. Among the many valid inequalities that are known for it, the clique-family inequalities play an important role. Pecher and Wagler showed that the clique-family inequalities can be strengthened under certain conditions. We show that they can be strengthened even further, using a surprisingly simple mixed-integer rounding argument.

Bibliographic note

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 editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. A definitive version was subsequently published in Operations Research Letters, 2021, vol. 49, issue 4, pp. 586-589. DOI: 10.1016/j.orl.2021.06.008