A cutting plane algorithm for graph coloring

We present an approach based on integer programming formulations of the graph coloring problem. Our goal is to develop models that remove some symmetrical solutions obtained by color permutations. We study the problem from a polyhedral point of view and determine some families of facets of the 0/1-p...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Méndez-Díaz, I., Zabala, P.
Formato: Artículo publishedVersion
Lenguaje:Inglés
Publicado: 2008
Materias:
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0166218X_v156_n2_p159_MendezDiaz
Aporte de:
Descripción
Sumario:We present an approach based on integer programming formulations of the graph coloring problem. Our goal is to develop models that remove some symmetrical solutions obtained by color permutations. We study the problem from a polyhedral point of view and determine some families of facets of the 0/1-polytope associated with one of these integer programming formulations. The theoretical results described here are used to design an efficient Cutting Plane algorithm. © 2007 Elsevier B.V. All rights reserved.