Strengthened clique-family inequalities for the stable set polytope

Letchford, Adam and Ventura, Paolo (2021) Strengthened clique-family inequalities for the stable set polytope. Operations Research Letters, 49 (4). pp. 586-589. ISSN 0167-6377

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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.

Item Type:

Journal Article

Journal or Publication Title:

Operations Research Letters

Additional Information:

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, 586-589 DOI: doi.org/10.1016/j.orl.2021.06.00810.1016/j.orl.2021.06.008

Uncontrolled Keywords:

/dk/atira/pure/subjectarea/asjc/1800/1803

Subjects:

?? combinatorial optimizationstable set problempolyhedral combinatoricsmanagement science and operations researchsoftwareapplied mathematicsindustrial and manufacturing engineering ??

Departments:

Lancaster University Management School > Management Science

ID Code:

155944

Deposited By:

ep_importer_pure

Deposited On:

09 Jun 2021 09:20

Refereed?:

Yes

Published?:

Published

Last Modified:

12 Feb 2024 00:40

URI:

https://eprints.lancs.ac.uk/id/eprint/155944