On the first Chvátal closure of the set covering polyhedron related to circulant matrices

Autores
Tolomei, Paola Beatriz; Torres, Luis Miguel
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the set covering polyhedron related to circulant matrices. In particular, our goal is to characterize the first Chvátal closure of the usual fractional relaxation. We present a family of valid inequalities that generalizes the family of minor inequalities previously reported in the literature. This family includes new facet-defining inequalities for the set covering polyhedron.
Fil: Tolomei, Paola Beatriz. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Torres, Luis Miguel. Escuela Politécnica Nacional; Ecuador
Materia
Set Covering
Circulant Matrices
Chvátal Closure
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/21871
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/21871
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On the first Chvátal closure of the set covering polyhedron related to circulant matricesTolomei, Paola BeatrizTorres, Luis MiguelSet CoveringCirculant MatricesChvátal Closurehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We study the set covering polyhedron related to circulant matrices. In particular, our goal is to characterize the first Chvátal closure of the usual fractional relaxation. We present a family of valid inequalities that generalizes the family of minor inequalities previously reported in the literature. This family includes new facet-defining inequalities for the set covering polyhedron.Fil: Tolomei, Paola Beatriz. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Torres, Luis Miguel. Escuela Politécnica Nacional; EcuadorElsevier2013-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/21871Tolomei, Paola Beatriz; Torres, Luis Miguel; On the first Chvátal closure of the set covering polyhedron related to circulant matrices; Elsevier; Electronic Notes in Discrete Mathematics; 44; 11-2013; 377-3831571-0653CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.endm.2013.10.059info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1571065313002758info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-12T09:48:12Zoai:ri.conicet.gov.ar:11336/21871instacron: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:34982025-11-12 09:48:12.576CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the first Chvátal closure of the set covering polyhedron related to circulant matrices
title On the first Chvátal closure of the set covering polyhedron related to circulant matrices
spellingShingle On the first Chvátal closure of the set covering polyhedron related to circulant matrices
Tolomei, Paola Beatriz
Set Covering
Circulant Matrices
Chvátal Closure
title_short On the first Chvátal closure of the set covering polyhedron related to circulant matrices
title_full On the first Chvátal closure of the set covering polyhedron related to circulant matrices
title_fullStr On the first Chvátal closure of the set covering polyhedron related to circulant matrices
title_full_unstemmed On the first Chvátal closure of the set covering polyhedron related to circulant matrices
title_sort On the first Chvátal closure of the set covering polyhedron related to circulant matrices
dc.creator.none.fl_str_mv Tolomei, Paola Beatriz
Torres, Luis Miguel
author Tolomei, Paola Beatriz
author_facet Tolomei, Paola Beatriz
Torres, Luis Miguel
author_role author
author2 Torres, Luis Miguel
author2_role author
dc.subject.none.fl_str_mv Set Covering
Circulant Matrices
Chvátal Closure
topic Set Covering
Circulant Matrices
Chvátal Closure
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 set covering polyhedron related to circulant matrices. In particular, our goal is to characterize the first Chvátal closure of the usual fractional relaxation. We present a family of valid inequalities that generalizes the family of minor inequalities previously reported in the literature. This family includes new facet-defining inequalities for the set covering polyhedron.
Fil: Tolomei, Paola Beatriz. Universidad Nacional de Rosario. Facultad de Ciencias Exactas, Ingeniería y Agrimensura; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Torres, Luis Miguel. Escuela Politécnica Nacional; Ecuador
description We study the set covering polyhedron related to circulant matrices. In particular, our goal is to characterize the first Chvátal closure of the usual fractional relaxation. We present a family of valid inequalities that generalizes the family of minor inequalities previously reported in the literature. This family includes new facet-defining inequalities for the set covering polyhedron.
publishDate 2013
dc.date.none.fl_str_mv 2013-11
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/11336/21871
Tolomei, Paola Beatriz; Torres, Luis Miguel; On the first Chvátal closure of the set covering polyhedron related to circulant matrices; Elsevier; Electronic Notes in Discrete Mathematics; 44; 11-2013; 377-383
1571-0653
CONICET Digital
CONICET
url http://hdl.handle.net/11336/21871
identifier_str_mv Tolomei, Paola Beatriz; Torres, Luis Miguel; On the first Chvátal closure of the set covering polyhedron related to circulant matrices; Elsevier; Electronic Notes in Discrete Mathematics; 44; 11-2013; 377-383
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.2013.10.059
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S1571065313002758
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
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 13.24909

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