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A Derivation of Lovász' Theta via Augmented Lagrange Duality

Published online by Cambridge University Press:  15 November 2003

Mustapha Ç. Pinar
Mustapha Ç. Pinar*
Affiliation:
Bilkent University, Department of Industrial Engineering, 06800 Ankara, Turkey; mustafap@bilkent.edu.tr..
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Abstract

A recently introduced dualization technique for binary linear programs with equality constraints, essentially due to Poljak et al. [13], and further developed in Lemaréchal and Oustry [9], leads to simple alternative derivations of well-known, important relaxations to two well-known problems of discrete optimization: the maximum stable set problem and the maximum vertex cover problem. The resulting relaxation is easily transformed to the well-known Lovász θ number.

Keywords

Lagrange dualitystable setLovász theta functionsemidefinite relaxation.
Type
Research Article
Information
RAIRO - Operations Research , Volume 37 , Issue 1 , January 2003 , pp. 17 - 27
Copyright
© EDP Sciences, 2003

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