On the facets of lift-and-project relaxations under graph operations

Autores
Aguilera, Néstor Edgardo; Escalante, Mariana Silvina; Fekete, Pablo Gabriel
Año de publicación
2014
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) [6] in the context of the stable set problem on graphs. Following the work of Wolsey (1976) [10], Lipták and Lovász (2001) [4] and Lipták and Tunçel (2003) [5], 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 and the star subdivision, the stretching of a node and a new operation defined herein called the clique subdivision of an edge
Fil: Aguilera, Néstor Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional 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
Operations in Graphs
Lift-And-Project Operators
Stable Set
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:11336/30101
Acceder
id CONICETDig_5bf9801686dcebecbdf6b6f3b647a04f
oai_identifier_str oai:ri.conicet.gov.ar:11336/30101
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On the facets of lift-and-project relaxations under graph operationsAguilera, Néstor EdgardoEscalante, Mariana SilvinaFekete, Pablo GabrielOperations in GraphsLift-And-Project OperatorsStable Sethttps://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) [6] in the context of the stable set problem on graphs. Following the work of Wolsey (1976) [10], Lipták and Lovász (2001) [4] and Lipták and Tunçel (2003) [5], 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 and the star subdivision, the stretching of a node and a new operation defined herein called the clique subdivision of an edgeFil: Aguilera, Néstor Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional 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; 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/pdfapplication/pdfhttp://hdl.handle.net/11336/30101Aguilera, Néstor Edgardo; Escalante, Mariana Silvina; Fekete, Pablo Gabriel; On the facets of lift-and-project relaxations under graph operations; Elsevier Science; Discrete Applied Mathematics; 164; 2; 2-2014; 360-3720166-218XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.dam.2012.07.012info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0166218X12002776info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:09:52Zoai:ri.conicet.gov.ar:11336/30101instacron: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 12:09:53.095CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the facets of lift-and-project relaxations under graph operations
title On the facets of lift-and-project relaxations under graph operations
spellingShingle On the facets of lift-and-project relaxations under graph operations
Aguilera, Néstor Edgardo
Operations in Graphs
Lift-And-Project Operators
Stable Set
title_short On the facets of lift-and-project relaxations under graph operations
title_full On the facets of lift-and-project relaxations under graph operations
title_fullStr On the facets of lift-and-project relaxations under graph operations
title_full_unstemmed On the facets of lift-and-project relaxations under graph operations
title_sort On the facets of lift-and-project relaxations under graph operations
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 Operations in Graphs
Lift-And-Project Operators
Stable Set
topic Operations in Graphs
Lift-And-Project Operators
Stable Set
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) [6] in the context of the stable set problem on graphs. Following the work of Wolsey (1976) [10], Lipták and Lovász (2001) [4] and Lipták and Tunçel (2003) [5], 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 and the star subdivision, the stretching of a node and a new operation defined herein called the clique subdivision of an edge
Fil: Aguilera, Néstor Edgardo. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina. Universidad Nacional 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) [6] in the context of the stable set problem on graphs. Following the work of Wolsey (1976) [10], Lipták and Lovász (2001) [4] and Lipták and Tunçel (2003) [5], 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 and the star subdivision, the stretching of a node and a new operation defined herein called the clique subdivision of an edge
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/11336/30101
Aguilera, Néstor Edgardo; Escalante, Mariana Silvina; Fekete, Pablo Gabriel; On the facets of lift-and-project relaxations under graph operations; Elsevier Science; Discrete Applied Mathematics; 164; 2; 2-2014; 360-372
0166-218X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/30101
identifier_str_mv Aguilera, Néstor Edgardo; Escalante, Mariana Silvina; Fekete, Pablo Gabriel; On the facets of lift-and-project relaxations under graph operations; Elsevier Science; Discrete Applied Mathematics; 164; 2; 2-2014; 360-372
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.2012.07.012
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0166218X12002776
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
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_ 1846782479923412992
score 12.982451

Publicaciones similares