Facets of the polytope of legal sequences
- Autores
- Campêlo, Manoel; Severin, Daniel Esteban
- Año de publicación
- 2017
- Idioma
- inglés
- Tipo de recurso
- artículo
- Estado
- versión publicada
- Descripción
- A sequence of vertices in a graph is called a (total) legal dominating sequence if every vertex in the sequence (totally) dominates at least one vertex not dominated by the ones that precedes it, and at the end all vertices of the graph are (totally) dominated. The Grundy (total) domination number of a graph is the size of the largest (total) legal dominating sequence. In this work, we present integer programming formulations for obtaining the Grundy (total) domination number of a graph, we study some aspects of the polyhedral structure of one of them and we test the performance of some new valid inequalities as cuts.
Fil: Campêlo, Manoel. Universidade Federal Do Ceará; Brasil
Fil: Severin, Daniel Esteban. 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; Argentina - Materia
-
Facet-Defining Inequality
Grundy (Total) Domination Number
Legal Dominating Sequence
Web Graph - Nivel de accesibilidad
- acceso abierto
- Condiciones de uso
- https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
- Repositorio
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/75717
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Facets of the polytope of legal sequencesCampêlo, ManoelSeverin, Daniel EstebanFacet-Defining InequalityGrundy (Total) Domination NumberLegal Dominating SequenceWeb Graphhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1A sequence of vertices in a graph is called a (total) legal dominating sequence if every vertex in the sequence (totally) dominates at least one vertex not dominated by the ones that precedes it, and at the end all vertices of the graph are (totally) dominated. The Grundy (total) domination number of a graph is the size of the largest (total) legal dominating sequence. In this work, we present integer programming formulations for obtaining the Grundy (total) domination number of a graph, we study some aspects of the polyhedral structure of one of them and we test the performance of some new valid inequalities as cuts.Fil: Campêlo, Manoel. Universidade Federal Do Ceará; BrasilFil: Severin, Daniel Esteban. 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; ArgentinaElsevier2017-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/75717Campêlo, Manoel; Severin, Daniel Esteban; Facets of the polytope of legal sequences; Elsevier; Electronic Notes in Discrete Mathematics; 62; 11-2017; 15-201571-0653CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.endm.2017.10.004info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1571065317302421info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:43:29Zoai:ri.conicet.gov.ar:11336/75717instacron: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 09:43:29.437CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse |
dc.title.none.fl_str_mv |
Facets of the polytope of legal sequences |
title |
Facets of the polytope of legal sequences |
spellingShingle |
Facets of the polytope of legal sequences Campêlo, Manoel Facet-Defining Inequality Grundy (Total) Domination Number Legal Dominating Sequence Web Graph |
title_short |
Facets of the polytope of legal sequences |
title_full |
Facets of the polytope of legal sequences |
title_fullStr |
Facets of the polytope of legal sequences |
title_full_unstemmed |
Facets of the polytope of legal sequences |
title_sort |
Facets of the polytope of legal sequences |
dc.creator.none.fl_str_mv |
Campêlo, Manoel Severin, Daniel Esteban |
author |
Campêlo, Manoel |
author_facet |
Campêlo, Manoel Severin, Daniel Esteban |
author_role |
author |
author2 |
Severin, Daniel Esteban |
author2_role |
author |
dc.subject.none.fl_str_mv |
Facet-Defining Inequality Grundy (Total) Domination Number Legal Dominating Sequence Web Graph |
topic |
Facet-Defining Inequality Grundy (Total) Domination Number Legal Dominating Sequence Web Graph |
purl_subject.fl_str_mv |
https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
dc.description.none.fl_txt_mv |
A sequence of vertices in a graph is called a (total) legal dominating sequence if every vertex in the sequence (totally) dominates at least one vertex not dominated by the ones that precedes it, and at the end all vertices of the graph are (totally) dominated. The Grundy (total) domination number of a graph is the size of the largest (total) legal dominating sequence. In this work, we present integer programming formulations for obtaining the Grundy (total) domination number of a graph, we study some aspects of the polyhedral structure of one of them and we test the performance of some new valid inequalities as cuts. Fil: Campêlo, Manoel. Universidade Federal Do Ceará; Brasil Fil: Severin, Daniel Esteban. 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; Argentina |
description |
A sequence of vertices in a graph is called a (total) legal dominating sequence if every vertex in the sequence (totally) dominates at least one vertex not dominated by the ones that precedes it, and at the end all vertices of the graph are (totally) dominated. The Grundy (total) domination number of a graph is the size of the largest (total) legal dominating sequence. In this work, we present integer programming formulations for obtaining the Grundy (total) domination number of a graph, we study some aspects of the polyhedral structure of one of them and we test the performance of some new valid inequalities as cuts. |
publishDate |
2017 |
dc.date.none.fl_str_mv |
2017-11 |
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/11336/75717 Campêlo, Manoel; Severin, Daniel Esteban; Facets of the polytope of legal sequences; Elsevier; Electronic Notes in Discrete Mathematics; 62; 11-2017; 15-20 1571-0653 CONICET Digital CONICET |
url |
http://hdl.handle.net/11336/75717 |
identifier_str_mv |
Campêlo, Manoel; Severin, Daniel Esteban; Facets of the polytope of legal sequences; Elsevier; Electronic Notes in Discrete Mathematics; 62; 11-2017; 15-20 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.2017.10.004 info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1571065317302421 |
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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1844613369060917248 |
score |
13.070432 |