On grötschel-lovász-schrijver's relaxation of stable set polytopes

Tetsuya Fujie; Akihisa Tamura

doi:10.15807/jorsj.45.285

On grötschel-lovász-schrijver's relaxation of stable set polytopes

Tetsuya Fujie, Akihisa Tamura

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

Grötschel, Lovász and Schrijver introduced a convex set containing the stable set polytope of a graph. They proved that the set is a polytope if and only if the corresponding graph is perfect. In this paper, we give an alternative proof of the fact based on a new representation of the convex set described by infinitely many convex quadratic inequalities.

Original language	English
Pages (from-to)	285-292
Number of pages	8
Journal	Journal of the Operations Research Society of Japan
Volume	45
Issue number	3
DOIs	https://doi.org/10.15807/jorsj.45.285
Publication status	Published - 2002
Externally published	Yes

ASJC Scopus subject areas

Decision Sciences(all)
Management Science and Operations Research

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On grötschel-lovász-schrijver's relaxation of stable set polytopes

Abstract

ASJC Scopus subject areas

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