A polyhedral approach for the equitable coloring problem

In this work we study the polytope associated with a 0,1-integer programming formulation for the Equitable Coloring Problem. We find several families of valid inequalities and derive sufficient conditions in order to be facet-defining inequalities. We also present computational evidence that shows t...

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Detalhes bibliográficos
Autores: Méndez-Díaz, Isabel, Nasini, Graciela Leonor, Severin, Daniel Esteban
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/85989
Acesso em linha:http://hdl.handle.net/11336/85989
Access Level:acceso abierto
Palavra-chave:CUT AND BRANCH
EQUITABLE GRAPH COLORING
INTEGER PROGRAMMING
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:In this work we study the polytope associated with a 0,1-integer programming formulation for the Equitable Coloring Problem. We find several families of valid inequalities and derive sufficient conditions in order to be facet-defining inequalities. We also present computational evidence that shows the efficacy of these inequalities used in a cutting-plane algorithm.