Solving a multicoloring problem with overlaps using integer programming
- Autores
- Méndez Díaz, Isabel; Zabala, Paula Lorena
- Año de publicación
- 2010
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- This paper presents a new generalization of the graph multicoloring problem. We propose a Branch-and-Cut algorithm based on a new integer programming formulation. The cuts used are valid inequalities that we could identify to the polytope associated with the model. The Branch-and-Cut system includes separation heuristics for the valid inequalities, specific initial and primal heuristics, branching and pruning rules. We report on computational experience with random instances.
Fil: Méndez Díaz, Isabel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Zabala, Paula Lorena. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina - Materia
-
Graph Multicoloring
Integer Programming
Branch And Cut - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/16547
Ver los metadatos del registro completo
id |
CONICETDig_5e2090c8731aa235e41a708acde569e6 |
---|---|
oai_identifier_str |
oai:ri.conicet.gov.ar:11336/16547 |
network_acronym_str |
CONICETDig |
repository_id_str |
3498 |
network_name_str |
CONICET Digital (CONICET) |
spelling |
Solving a multicoloring problem with overlaps using integer programmingMéndez Díaz, IsabelZabala, Paula LorenaGraph MulticoloringInteger ProgrammingBranch And Cuthttps://purl.org/becyt/ford/1.2https://purl.org/becyt/ford/1This paper presents a new generalization of the graph multicoloring problem. We propose a Branch-and-Cut algorithm based on a new integer programming formulation. The cuts used are valid inequalities that we could identify to the polytope associated with the model. The Branch-and-Cut system includes separation heuristics for the valid inequalities, specific initial and primal heuristics, branching and pruning rules. We report on computational experience with random instances.Fil: Méndez Díaz, Isabel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Zabala, Paula Lorena. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier Science2010-02info: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/11336/16547Méndez Díaz, Isabel; Zabala, Paula Lorena; Solving a multicoloring problem with overlaps using integer programming; Elsevier Science; Discrete Applied Mathematics; 158; 4; 2-2010; 349-3540166-218Xenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.dam.2009.05.007info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0166218X09002650info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:46:01Zoai:ri.conicet.gov.ar:11336/16547instacron: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 09:46:01.894CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Solving a multicoloring problem with overlaps using integer programming |
title |
Solving a multicoloring problem with overlaps using integer programming |
spellingShingle |
Solving a multicoloring problem with overlaps using integer programming Méndez Díaz, Isabel Graph Multicoloring Integer Programming Branch And Cut |
title_short |
Solving a multicoloring problem with overlaps using integer programming |
title_full |
Solving a multicoloring problem with overlaps using integer programming |
title_fullStr |
Solving a multicoloring problem with overlaps using integer programming |
title_full_unstemmed |
Solving a multicoloring problem with overlaps using integer programming |
title_sort |
Solving a multicoloring problem with overlaps using integer programming |
dc.creator.none.fl_str_mv |
Méndez Díaz, Isabel Zabala, Paula Lorena |
author |
Méndez Díaz, Isabel |
author_facet |
Méndez Díaz, Isabel Zabala, Paula Lorena |
author_role |
author |
author2 |
Zabala, Paula Lorena |
author2_role |
author |
dc.subject.none.fl_str_mv |
Graph Multicoloring Integer Programming Branch And Cut |
topic |
Graph Multicoloring Integer Programming Branch And Cut |
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 presents a new generalization of the graph multicoloring problem. We propose a Branch-and-Cut algorithm based on a new integer programming formulation. The cuts used are valid inequalities that we could identify to the polytope associated with the model. The Branch-and-Cut system includes separation heuristics for the valid inequalities, specific initial and primal heuristics, branching and pruning rules. We report on computational experience with random instances. Fil: Méndez Díaz, Isabel. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina Fil: Zabala, Paula Lorena. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina |
description |
This paper presents a new generalization of the graph multicoloring problem. We propose a Branch-and-Cut algorithm based on a new integer programming formulation. The cuts used are valid inequalities that we could identify to the polytope associated with the model. The Branch-and-Cut system includes separation heuristics for the valid inequalities, specific initial and primal heuristics, branching and pruning rules. We report on computational experience with random instances. |
publishDate |
2010 |
dc.date.none.fl_str_mv |
2010-02 |
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/11336/16547 Méndez Díaz, Isabel; Zabala, Paula Lorena; Solving a multicoloring problem with overlaps using integer programming; Elsevier Science; Discrete Applied Mathematics; 158; 4; 2-2010; 349-354 0166-218X |
url |
http://hdl.handle.net/11336/16547 |
identifier_str_mv |
Méndez Díaz, Isabel; Zabala, Paula Lorena; Solving a multicoloring problem with overlaps using integer programming; Elsevier Science; Discrete Applied Mathematics; 158; 4; 2-2010; 349-354 0166-218X |
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.2009.05.007 info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0166218X09002650 |
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 |
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 |
_version_ |
1842268769015037952 |
score |
13.13397 |