The minor inequalities in the description of the set covering polyhedron of circulant matrices
- Autores
- Bianchi, Silvia María; Nasini, Graciela Leonor; Tolomei, Paola Beatriz
- Año de publicación
- 2014
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- In this work we give a complete description of the set covering polyhedron of circulant matrices Cskk with = 2, 3 and k ≥ 3 by linear inequalities. In particular, we prove that every non boolean facet defining inequality is associated with a circulant minor of the matrix. We also give a polynomial time separation algorithm for inequalities involved in the description.
Fil: Bianchi, Silvia María. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina
Fil: Nasini, Graciela Leonor. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina
Fil: Tolomei, Paola Beatriz. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina - Materia
-
CIRCULANT MATRICES
POLYHEDRAL COMBINATORICS
SET COVERING - 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:11336/94367
Ver los metadatos del registro completo
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The minor inequalities in the description of the set covering polyhedron of circulant matricesBianchi, Silvia MaríaNasini, Graciela LeonorTolomei, Paola BeatrizCIRCULANT MATRICESPOLYHEDRAL COMBINATORICSSET COVERINGhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this work we give a complete description of the set covering polyhedron of circulant matrices Cskk with = 2, 3 and k ≥ 3 by linear inequalities. In particular, we prove that every non boolean facet defining inequality is associated with a circulant minor of the matrix. We also give a polynomial time separation algorithm for inequalities involved in the description.Fil: Bianchi, Silvia María. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; ArgentinaFil: Nasini, Graciela Leonor. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaFil: Tolomei, Paola Beatriz. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; ArgentinaSpringer Heidelberg2014-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/94367Bianchi, Silvia María; Nasini, Graciela Leonor; Tolomei, Paola Beatriz; The minor inequalities in the description of the set covering polyhedron of circulant matrices; Springer Heidelberg; Mathematical Methods Of Operations Research (heidelberg); 79; 1; 2-2014; 69-851432-2994CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1007/s00186-013-0453-6info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00186-013-0453-6info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:40:05Zoai:ri.conicet.gov.ar:11336/94367instacron: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:34982025-09-29 09:40:05.837CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
The minor inequalities in the description of the set covering polyhedron of circulant matrices |
title |
The minor inequalities in the description of the set covering polyhedron of circulant matrices |
spellingShingle |
The minor inequalities in the description of the set covering polyhedron of circulant matrices Bianchi, Silvia María CIRCULANT MATRICES POLYHEDRAL COMBINATORICS SET COVERING |
title_short |
The minor inequalities in the description of the set covering polyhedron of circulant matrices |
title_full |
The minor inequalities in the description of the set covering polyhedron of circulant matrices |
title_fullStr |
The minor inequalities in the description of the set covering polyhedron of circulant matrices |
title_full_unstemmed |
The minor inequalities in the description of the set covering polyhedron of circulant matrices |
title_sort |
The minor inequalities in the description of the set covering polyhedron of circulant matrices |
dc.creator.none.fl_str_mv |
Bianchi, Silvia María Nasini, Graciela Leonor Tolomei, Paola Beatriz |
author |
Bianchi, Silvia María |
author_facet |
Bianchi, Silvia María Nasini, Graciela Leonor Tolomei, Paola Beatriz |
author_role |
author |
author2 |
Nasini, Graciela Leonor Tolomei, Paola Beatriz |
author2_role |
author author |
dc.subject.none.fl_str_mv |
CIRCULANT MATRICES POLYHEDRAL COMBINATORICS SET COVERING |
topic |
CIRCULANT MATRICES POLYHEDRAL COMBINATORICS SET COVERING |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
In this work we give a complete description of the set covering polyhedron of circulant matrices Cskk with = 2, 3 and k ≥ 3 by linear inequalities. In particular, we prove that every non boolean facet defining inequality is associated with a circulant minor of the matrix. We also give a polynomial time separation algorithm for inequalities involved in the description. Fil: Bianchi, Silvia María. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina Fil: Nasini, Graciela Leonor. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina Fil: Tolomei, Paola Beatriz. Universidad Nacional de Rosario. Facultad de Ciencias Exactas Ingeniería y Agrimensura. Escuela de Ciencias Exactas y Naturales. Departamento de Matemática; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Rosario; Argentina |
description |
In this work we give a complete description of the set covering polyhedron of circulant matrices Cskk with = 2, 3 and k ≥ 3 by linear inequalities. In particular, we prove that every non boolean facet defining inequality is associated with a circulant minor of the matrix. We also give a polynomial time separation algorithm for inequalities involved in the description. |
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/11336/94367 Bianchi, Silvia María; Nasini, Graciela Leonor; Tolomei, Paola Beatriz; The minor inequalities in the description of the set covering polyhedron of circulant matrices; Springer Heidelberg; Mathematical Methods Of Operations Research (heidelberg); 79; 1; 2-2014; 69-85 1432-2994 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/94367 |
identifier_str_mv |
Bianchi, Silvia María; Nasini, Graciela Leonor; Tolomei, Paola Beatriz; The minor inequalities in the description of the set covering polyhedron of circulant matrices; Springer Heidelberg; Mathematical Methods Of Operations Research (heidelberg); 79; 1; 2-2014; 69-85 1432-2994 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/s00186-013-0453-6 info:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s00186-013-0453-6 |
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 |
dc.publisher.none.fl_str_mv |
Springer Heidelberg |
publisher.none.fl_str_mv |
Springer Heidelberg |
dc.source.none.fl_str_mv |
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 |
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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1844613268004405248 |
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13.070432 |