A DSATUR-based algorithm for the Equitable Coloring Problem

Autores
Méndez-Díaz, Isabel; Nasini, Graciela Leonor; Severin, Daniel Esteban
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
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.
Fil: Méndez-Díaz, Isabel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina
Fil: Nasini, Graciela Leonor. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Severin, Daniel Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
Materia
Dsatur
Equitable Coloring
Exact Algorithm
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/38356
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling A DSATUR-based algorithm for the Equitable Coloring ProblemMéndez-Díaz, IsabelNasini, Graciela LeonorSeverin, Daniel EstebanDsaturEquitable ColoringExact Algorithmhttps://purl.org/becyt/ford/1.2https://purl.org/becyt/ford/1This 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.Fil: Méndez-Díaz, Isabel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; ArgentinaFil: Nasini, Graciela Leonor. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Severin, Daniel Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaPergamon-Elsevier Science Ltd2015-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/38356Méndez-Díaz, Isabel; Nasini, Graciela Leonor; Severin, Daniel Esteban; A DSATUR-based algorithm for the Equitable Coloring Problem; Pergamon-Elsevier Science Ltd; Computers & Operations Research; 57; 2-2015; 41-500305-0548CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0305054814003189info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cor.2014.11.014info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1306.1758info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:38:43Zoai:ri.conicet.gov.ar:11336/38356instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-29 09:38:43.798CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A DSATUR-based algorithm for the Equitable Coloring Problem
title A DSATUR-based algorithm for the Equitable Coloring Problem
spellingShingle A DSATUR-based algorithm for the Equitable Coloring Problem
Méndez-Díaz, Isabel
Dsatur
Equitable Coloring
Exact Algorithm
title_short A DSATUR-based algorithm for the Equitable Coloring Problem
title_full A DSATUR-based algorithm for the Equitable Coloring Problem
title_fullStr A DSATUR-based algorithm for the Equitable Coloring Problem
title_full_unstemmed A DSATUR-based algorithm for the Equitable Coloring Problem
title_sort A DSATUR-based algorithm for the Equitable Coloring Problem
dc.creator.none.fl_str_mv Méndez-Díaz, Isabel
Nasini, Graciela Leonor
Severin, Daniel Esteban
author Méndez-Díaz, Isabel
author_facet Méndez-Díaz, Isabel
Nasini, Graciela Leonor
Severin, Daniel Esteban
author_role author
author2 Nasini, Graciela Leonor
Severin, Daniel Esteban
author2_role author
author
dc.subject.none.fl_str_mv Dsatur
Equitable Coloring
Exact Algorithm
topic Dsatur
Equitable Coloring
Exact Algorithm
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv 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.
Fil: Méndez-Díaz, Isabel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina
Fil: Nasini, Graciela Leonor. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Severin, Daniel Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina
description 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.
publishDate 2015
dc.date.none.fl_str_mv 2015-02
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/38356
Méndez-Díaz, Isabel; Nasini, Graciela Leonor; Severin, Daniel Esteban; A DSATUR-based algorithm for the Equitable Coloring Problem; Pergamon-Elsevier Science Ltd; Computers & Operations Research; 57; 2-2015; 41-50
0305-0548
CONICET Digital
CONICET
url http://hdl.handle.net/11336/38356
identifier_str_mv Méndez-Díaz, Isabel; Nasini, Graciela Leonor; Severin, Daniel Esteban; A DSATUR-based algorithm for the Equitable Coloring Problem; Pergamon-Elsevier Science Ltd; Computers & Operations Research; 57; 2-2015; 41-50
0305-0548
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0305054814003189
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.cor.2014.11.014
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1306.1758
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
publisher.none.fl_str_mv Pergamon-Elsevier Science Ltd
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1844613224532541440
score 13.070432

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