A DSATUR-based algorithm for the Equitable Coloring Problem

This paper describes a new exact algorithm for the Equitable Coloring Problem, a coloring problem where the sizes of two arbitrary color classes differ in at most one unit. Based on the well known DSatur algorithm for the classic Coloring Problem, a pruning criterion arising from equity constraints...

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Detalhes bibliográficos
Autores: Méndez-Díaz, Isabel, Nasini, Graciela Leonor, Severin, Daniel Esteban
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2015
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/38356
Acesso em linha:http://hdl.handle.net/11336/38356
Access Level:acceso abierto
Palavra-chave:Dsatur
Equitable Coloring
Exact Algorithm
https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
Descrição
Resumo:This paper describes a new exact algorithm for the Equitable Coloring Problem, a coloring problem where the sizes of two arbitrary color classes differ in at most one unit. Based on the well known DSatur algorithm for the classic Coloring Problem, a pruning criterion arising from equity constraints is proposed and analyzed. The good performance of the algorithm is shown through computational experiments over random and benchmark instances.