On the facets of the lift-and-project relaxations of graph subdivisions

Autores
Aguilera, Néstor Edgardo; Escalante, Mariana Silvina; Fekete, Pablo Gabriel
Año de publicación
2011
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the behavior of lift-and-project procedures for solving combinatorial optimization problems as described by Lovász and Schrijver (1991), in the context of the stable set problem on graphs. Following the work of Wolsey (1976), we investigate how to generate facets of the relaxations obtained by these procedures from facets of the relaxations of the original graph, after applying fundamental graph operations. We show our findings for the odd subdivision of an edge and its generalization, the stretching of a vertex operation.
Fil: Aguilera, Néstor Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Escalante, Mariana Silvina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario; Argentina
Fil: Fekete, Pablo Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario; Argentina
Materia
Graph Subdivision
Lift-And-Project
Stable Set Problem
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/68103
Acceder
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network_name_str CONICET Digital (CONICET)
spelling On the facets of the lift-and-project relaxations of graph subdivisionsAguilera, Néstor EdgardoEscalante, Mariana SilvinaFekete, Pablo GabrielGraph SubdivisionLift-And-ProjectStable Set Problemhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study the behavior of lift-and-project procedures for solving combinatorial optimization problems as described by Lovász and Schrijver (1991), in the context of the stable set problem on graphs. Following the work of Wolsey (1976), we investigate how to generate facets of the relaxations obtained by these procedures from facets of the relaxations of the original graph, after applying fundamental graph operations. We show our findings for the odd subdivision of an edge and its generalization, the stretching of a vertex operation.Fil: Aguilera, Néstor Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; ArgentinaFil: Escalante, Mariana Silvina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario; ArgentinaFil: Fekete, Pablo Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario; ArgentinaElsevier2011-08info: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/11336/68103Aguilera, Néstor Edgardo; Escalante, Mariana Silvina; Fekete, Pablo Gabriel; On the facets of the lift-and-project relaxations of graph subdivisions; Elsevier; Electronic Notes in Discrete Mathematics; 37; C; 8-2011; 201-2061571-0653CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.endm.2011.05.035info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1571065311000369info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:16:58Zoai:ri.conicet.gov.ar:11336/68103instacron: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:34982025-10-22 12:16:59.107CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the facets of the lift-and-project relaxations of graph subdivisions
title On the facets of the lift-and-project relaxations of graph subdivisions
spellingShingle On the facets of the lift-and-project relaxations of graph subdivisions
Aguilera, Néstor Edgardo
Graph Subdivision
Lift-And-Project
Stable Set Problem
title_short On the facets of the lift-and-project relaxations of graph subdivisions
title_full On the facets of the lift-and-project relaxations of graph subdivisions
title_fullStr On the facets of the lift-and-project relaxations of graph subdivisions
title_full_unstemmed On the facets of the lift-and-project relaxations of graph subdivisions
title_sort On the facets of the lift-and-project relaxations of graph subdivisions
dc.creator.none.fl_str_mv Aguilera, Néstor Edgardo
Escalante, Mariana Silvina
Fekete, Pablo Gabriel
author Aguilera, Néstor Edgardo
author_facet Aguilera, Néstor Edgardo
Escalante, Mariana Silvina
Fekete, Pablo Gabriel
author_role author
author2 Escalante, Mariana Silvina
Fekete, Pablo Gabriel
author2_role author
author
dc.subject.none.fl_str_mv Graph Subdivision
Lift-And-Project
Stable Set Problem
topic Graph Subdivision
Lift-And-Project
Stable Set Problem
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the behavior of lift-and-project procedures for solving combinatorial optimization problems as described by Lovász and Schrijver (1991), in the context of the stable set problem on graphs. Following the work of Wolsey (1976), we investigate how to generate facets of the relaxations obtained by these procedures from facets of the relaxations of the original graph, after applying fundamental graph operations. We show our findings for the odd subdivision of an edge and its generalization, the stretching of a vertex operation.
Fil: Aguilera, Néstor Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Santa Fe. Instituto de Matemática Aplicada del Litoral. Universidad Nacional del Litoral. Instituto de Matemática Aplicada del Litoral; Argentina
Fil: Escalante, Mariana Silvina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario; Argentina
Fil: Fekete, Pablo Gabriel. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional de Rosario; Argentina
description We study the behavior of lift-and-project procedures for solving combinatorial optimization problems as described by Lovász and Schrijver (1991), in the context of the stable set problem on graphs. Following the work of Wolsey (1976), we investigate how to generate facets of the relaxations obtained by these procedures from facets of the relaxations of the original graph, after applying fundamental graph operations. We show our findings for the odd subdivision of an edge and its generalization, the stretching of a vertex operation.
publishDate 2011
dc.date.none.fl_str_mv 2011-08
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/11336/68103
Aguilera, Néstor Edgardo; Escalante, Mariana Silvina; Fekete, Pablo Gabriel; On the facets of the lift-and-project relaxations of graph subdivisions; Elsevier; Electronic Notes in Discrete Mathematics; 37; C; 8-2011; 201-206
1571-0653
CONICET Digital
CONICET
url http://hdl.handle.net/11336/68103
identifier_str_mv Aguilera, Néstor Edgardo; Escalante, Mariana Silvina; Fekete, Pablo Gabriel; On the facets of the lift-and-project relaxations of graph subdivisions; Elsevier; Electronic Notes in Discrete Mathematics; 37; C; 8-2011; 201-206
1571-0653
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.endm.2011.05.035
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1571065311000369
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
dc.publisher.none.fl_str_mv Elsevier
publisher.none.fl_str_mv Elsevier
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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score 12.982451

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