An exact algorithm for the edge coloring by total labeling problem
- Autores
- Borghini, Fabrizio; Méndez-Díaz, Isabel; Zabala, Paula Lorena
- Año de publicación
- 2018
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- This paper addresses the edge coloring by total labeling graph problem. This is a labeling of the vertices and edges of a graph such that the weights (colors) of the edges, defined by the sum of its label and the labels of its two endpoints, determine a proper edge coloring of the graph. We propose two integer programming formulations and derive valid inequalities which are added as cutting planes on a Branch-and-Cut framework. In order to improve the efficiency of the algorithm, we also develop initial and primal heuristics. The algorithm is tested on random instances and the computational results show that it is very effective in comparison with CPLEX. It is displayed that it reduces both the CPU time (for solved instances) and the final percentage gap (for unsolved instances), and that it is capable of solving instances that are out of the reach of CPLEX.
Fil: Borghini, Fabrizio. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Méndez-Díaz, Isabel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigación en Ciencias de la Computación. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigación en Ciencias de la Computación; Argentina. Universidad de Buenos Aires; Argentina
Fil: Zabala, Paula Lorena. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigación en Ciencias de la Computación. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigación en Ciencias de la Computación; Argentina - Materia
-
BRANCH-AND-CUT
EDGE COLORING
GRAPH COLORING
TOTAL LABELING - 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:11336/97121
Ver los metadatos del registro completo
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An exact algorithm for the edge coloring by total labeling problemBorghini, FabrizioMéndez-Díaz, IsabelZabala, Paula LorenaBRANCH-AND-CUTEDGE COLORINGGRAPH COLORINGTOTAL LABELINGhttps://purl.org/becyt/ford/1.2https://purl.org/becyt/ford/1This paper addresses the edge coloring by total labeling graph problem. This is a labeling of the vertices and edges of a graph such that the weights (colors) of the edges, defined by the sum of its label and the labels of its two endpoints, determine a proper edge coloring of the graph. We propose two integer programming formulations and derive valid inequalities which are added as cutting planes on a Branch-and-Cut framework. In order to improve the efficiency of the algorithm, we also develop initial and primal heuristics. The algorithm is tested on random instances and the computational results show that it is very effective in comparison with CPLEX. It is displayed that it reduces both the CPU time (for solved instances) and the final percentage gap (for unsolved instances), and that it is capable of solving instances that are out of the reach of CPLEX.Fil: Borghini, Fabrizio. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; ArgentinaFil: Méndez-Díaz, Isabel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigación en Ciencias de la Computación. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigación en Ciencias de la Computación; Argentina. Universidad de Buenos Aires; ArgentinaFil: Zabala, Paula Lorena. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigación en Ciencias de la Computación. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigación en Ciencias de la Computación; ArgentinaSpringer2018-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/97121Borghini, Fabrizio; Méndez-Díaz, Isabel; Zabala, Paula Lorena; An exact algorithm for the edge coloring by total labeling problem; Springer; Annals Of Operations Research; 7-20180254-5330CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s10479-018-2977-xinfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10479-018-2977-x#Abs1info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:49:28Zoai:ri.conicet.gov.ar:11336/97121instacron: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 09:49:28.74CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
An exact algorithm for the edge coloring by total labeling problem |
title |
An exact algorithm for the edge coloring by total labeling problem |
spellingShingle |
An exact algorithm for the edge coloring by total labeling problem Borghini, Fabrizio BRANCH-AND-CUT EDGE COLORING GRAPH COLORING TOTAL LABELING |
title_short |
An exact algorithm for the edge coloring by total labeling problem |
title_full |
An exact algorithm for the edge coloring by total labeling problem |
title_fullStr |
An exact algorithm for the edge coloring by total labeling problem |
title_full_unstemmed |
An exact algorithm for the edge coloring by total labeling problem |
title_sort |
An exact algorithm for the edge coloring by total labeling problem |
dc.creator.none.fl_str_mv |
Borghini, Fabrizio Méndez-Díaz, Isabel Zabala, Paula Lorena |
author |
Borghini, Fabrizio |
author_facet |
Borghini, Fabrizio Méndez-Díaz, Isabel Zabala, Paula Lorena |
author_role |
author |
author2 |
Méndez-Díaz, Isabel Zabala, Paula Lorena |
author2_role |
author author |
dc.subject.none.fl_str_mv |
BRANCH-AND-CUT EDGE COLORING GRAPH COLORING TOTAL LABELING |
topic |
BRANCH-AND-CUT EDGE COLORING GRAPH COLORING TOTAL LABELING |
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 addresses the edge coloring by total labeling graph problem. This is a labeling of the vertices and edges of a graph such that the weights (colors) of the edges, defined by the sum of its label and the labels of its two endpoints, determine a proper edge coloring of the graph. We propose two integer programming formulations and derive valid inequalities which are added as cutting planes on a Branch-and-Cut framework. In order to improve the efficiency of the algorithm, we also develop initial and primal heuristics. The algorithm is tested on random instances and the computational results show that it is very effective in comparison with CPLEX. It is displayed that it reduces both the CPU time (for solved instances) and the final percentage gap (for unsolved instances), and that it is capable of solving instances that are out of the reach of CPLEX. Fil: Borghini, Fabrizio. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina Fil: Méndez-Díaz, Isabel. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigación en Ciencias de la Computación. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigación en Ciencias de la Computación; Argentina. Universidad de Buenos Aires; Argentina Fil: Zabala, Paula Lorena. Consejo Nacional de Investigaciones Científicas y Técnicas. Oficina de Coordinación Administrativa Ciudad Universitaria. Instituto de Investigación en Ciencias de la Computación. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Investigación en Ciencias de la Computación; Argentina |
description |
This paper addresses the edge coloring by total labeling graph problem. This is a labeling of the vertices and edges of a graph such that the weights (colors) of the edges, defined by the sum of its label and the labels of its two endpoints, determine a proper edge coloring of the graph. We propose two integer programming formulations and derive valid inequalities which are added as cutting planes on a Branch-and-Cut framework. In order to improve the efficiency of the algorithm, we also develop initial and primal heuristics. The algorithm is tested on random instances and the computational results show that it is very effective in comparison with CPLEX. It is displayed that it reduces both the CPU time (for solved instances) and the final percentage gap (for unsolved instances), and that it is capable of solving instances that are out of the reach of CPLEX. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018-07 |
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/11336/97121 Borghini, Fabrizio; Méndez-Díaz, Isabel; Zabala, Paula Lorena; An exact algorithm for the edge coloring by total labeling problem; Springer; Annals Of Operations Research; 7-2018 0254-5330 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/97121 |
identifier_str_mv |
Borghini, Fabrizio; Méndez-Díaz, Isabel; Zabala, Paula Lorena; An exact algorithm for the edge coloring by total labeling problem; Springer; Annals Of Operations Research; 7-2018 0254-5330 CONICET Digital CONICET |
dc.language.none.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
info:eu-repo/semantics/altIdentifier/doi/10.1007/s10479-018-2977-x info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007%2Fs10479-018-2977-x#Abs1 |
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 |
dc.publisher.none.fl_str_mv |
Springer |
publisher.none.fl_str_mv |
Springer |
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reponame:CONICET Digital (CONICET) instname:Consejo Nacional de Investigaciones Científicas y Técnicas |
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CONICET Digital (CONICET) |
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CONICET Digital (CONICET) |
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Consejo Nacional de Investigaciones Científicas y Técnicas |
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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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13.13397 |