A polyhedral approach for the equitable coloring problem
- Autores
- Méndez-Díaz, Isabel; Nasini, Graciela Leonor; Severin, Daniel Esteban
- Año de publicación
- 2014
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- 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.
Fil: Méndez-Díaz, Isabel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Nasini, Graciela Leonor. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; 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
-
CUT AND BRANCH
EQUITABLE GRAPH COLORING
INTEGER PROGRAMMING - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/85989
Ver los metadatos del registro completo
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A polyhedral approach for the equitable coloring problemMéndez-Díaz, IsabelNasini, Graciela LeonorSeverin, Daniel EstebanCUT AND BRANCHEQUITABLE GRAPH COLORINGINTEGER PROGRAMMINGhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In 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.Fil: Méndez-Díaz, Isabel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; ArgentinaFil: Nasini, Graciela Leonor. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaFil: Severin, Daniel Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; ArgentinaElsevier Science2014-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/85989Méndez-Díaz, Isabel; Nasini, Graciela Leonor; Severin, Daniel Esteban; A polyhedral approach for the equitable coloring problem; Elsevier Science; Discrete Applied Mathematics; 164; Part 2; 2-2014; 413-4260166-218XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.dam.2012.11.018info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0166218X12004477info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:02:10Zoai:ri.conicet.gov.ar:11336/85989instacron: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:34982025-09-03 10:02:10.833CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
A polyhedral approach for the equitable coloring problem |
title |
A polyhedral approach for the equitable coloring problem |
spellingShingle |
A polyhedral approach for the equitable coloring problem Méndez-Díaz, Isabel CUT AND BRANCH EQUITABLE GRAPH COLORING INTEGER PROGRAMMING |
title_short |
A polyhedral approach for the equitable coloring problem |
title_full |
A polyhedral approach for the equitable coloring problem |
title_fullStr |
A polyhedral approach for the equitable coloring problem |
title_full_unstemmed |
A polyhedral approach for the equitable coloring problem |
title_sort |
A polyhedral approach 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 |
CUT AND BRANCH EQUITABLE GRAPH COLORING INTEGER PROGRAMMING |
topic |
CUT AND BRANCH EQUITABLE GRAPH COLORING INTEGER PROGRAMMING |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
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. Fil: Méndez-Díaz, Isabel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina Fil: Nasini, Graciela Leonor. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; 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 |
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. |
publishDate |
2014 |
dc.date.none.fl_str_mv |
2014-02 |
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/11336/85989 Méndez-Díaz, Isabel; Nasini, Graciela Leonor; Severin, Daniel Esteban; A polyhedral approach for the equitable coloring problem; Elsevier Science; Discrete Applied Mathematics; 164; Part 2; 2-2014; 413-426 0166-218X CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/85989 |
identifier_str_mv |
Méndez-Díaz, Isabel; Nasini, Graciela Leonor; Severin, Daniel Esteban; A polyhedral approach for the equitable coloring problem; Elsevier Science; Discrete Applied Mathematics; 164; Part 2; 2-2014; 413-426 0166-218X CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.dam.2012.11.018 info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0166218X12004477 |
dc.rights.none.fl_str_mv |
info:eu-repo/semantics/openAccess https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
eu_rights_str_mv |
openAccess |
rights_invalid_str_mv |
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/ |
dc.format.none.fl_str_mv |
application/pdf application/pdf application/pdf application/pdf |
dc.publisher.none.fl_str_mv |
Elsevier Science |
publisher.none.fl_str_mv |
Elsevier Science |
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 |
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1842269742128168960 |
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13.13397 |