An application of the Lovasz-Schrijver M(K,K) operator to the stable set problem

Giandomenico, M and Letchford, A N and Rossi, F and Smriglio, S (2009) An application of the Lovasz-Schrijver M(K,K) operator to the stable set problem. Mathematical Programming, 120 (2). pp. 381-401. ISSN 0025-5610

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Abstract

Although the lift-and-project operators of Lovász and Schrijver have been the subject of intense study, their M(K, K) operator has received little attention. We consider an application of this operator to the stable set problem. We begin with an initial linear programming (LP) relaxation consisting of clique and non-negativity inequalities, and then apply the operator to obtain a stronger extended LP relaxation. We discuss theoretical properties of the resulting relaxation, describe the issues that must be overcome to obtain an effective practical implementation, and give extensive computational results. Remarkably, the upper bounds obtained are sometimes stronger than those obtained with semidefinite programming techniques.

Item Type:
Journal Article
Journal or Publication Title:
Mathematical Programming
Uncontrolled Keywords:
/dk/atira/pure/subjectarea/aacsb/disciplinebasedresearch
Subjects:
ID Code:
45016
Deposited By:
Deposited On:
11 Jul 2011 18:25
Refereed?:
Yes
Published?:
Published
Last Modified:
05 Jun 2020 00:53