New facets of the 2-dominating set polytope of trees

Autores
Argiroffo, Gabriela
Año de publicación
2013
Idioma
inglés
Tipo de recurso
documento de conferencia
Estado
versión publicada
Descripción
Given a graph G and a nonnegative integer number k, a k- dominating set in G is a subset of vertices D such that every vertex in the graph is adjacent to at least k elements of D. The k-dominating set polytope is the convex hull of the incidence vectors of k-dominating sets in G. This is a natural generalization of the well-known dominating set polytope in graphs. In this work we study the 2-dominating set polytope of trees and we will provide new facet de ning inequalities for it.
Sociedad Argentina de Informática e Investigación Operativa
Materia
Ciencias Informáticas
2-domination
Facet
Tree
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/94585

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spelling New facets of the 2-dominating set polytope of treesArgiroffo, GabrielaCiencias Informáticas2-dominationFacetTreeGiven a graph G and a nonnegative integer number k, a k- dominating set in G is a subset of vertices D such that every vertex in the graph is adjacent to at least k elements of D. The k-dominating set polytope is the convex hull of the incidence vectors of k-dominating sets in G. This is a natural generalization of the well-known dominating set polytope in graphs. In this work we study the 2-dominating set polytope of trees and we will provide new facet de ning inequalities for it.Sociedad Argentina de Informática e Investigación Operativa2013-09info:eu-repo/semantics/conferenceObjectinfo:eu-repo/semantics/publishedVersionObjeto de conferenciahttp://purl.org/coar/resource_type/c_5794info:ar-repo/semantics/documentoDeConferenciaapplication/pdf30-34http://sedici.unlp.edu.ar/handle/10915/94585enginfo:eu-repo/semantics/altIdentifier/issn/1850-2865info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-29T11:19:46Zoai:sedici.unlp.edu.ar:10915/94585Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-29 11:19:46.382SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv New facets of the 2-dominating set polytope of trees
title New facets of the 2-dominating set polytope of trees
spellingShingle New facets of the 2-dominating set polytope of trees
Argiroffo, Gabriela
Ciencias Informáticas
2-domination
Facet
Tree
title_short New facets of the 2-dominating set polytope of trees
title_full New facets of the 2-dominating set polytope of trees
title_fullStr New facets of the 2-dominating set polytope of trees
title_full_unstemmed New facets of the 2-dominating set polytope of trees
title_sort New facets of the 2-dominating set polytope of trees
dc.creator.none.fl_str_mv Argiroffo, Gabriela
author Argiroffo, Gabriela
author_facet Argiroffo, Gabriela
author_role author
dc.subject.none.fl_str_mv Ciencias Informáticas
2-domination
Facet
Tree
topic Ciencias Informáticas
2-domination
Facet
Tree
dc.description.none.fl_txt_mv Given a graph G and a nonnegative integer number k, a k- dominating set in G is a subset of vertices D such that every vertex in the graph is adjacent to at least k elements of D. The k-dominating set polytope is the convex hull of the incidence vectors of k-dominating sets in G. This is a natural generalization of the well-known dominating set polytope in graphs. In this work we study the 2-dominating set polytope of trees and we will provide new facet de ning inequalities for it.
Sociedad Argentina de Informática e Investigación Operativa
description Given a graph G and a nonnegative integer number k, a k- dominating set in G is a subset of vertices D such that every vertex in the graph is adjacent to at least k elements of D. The k-dominating set polytope is the convex hull of the incidence vectors of k-dominating sets in G. This is a natural generalization of the well-known dominating set polytope in graphs. In this work we study the 2-dominating set polytope of trees and we will provide new facet de ning inequalities for it.
publishDate 2013
dc.date.none.fl_str_mv 2013-09
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language eng
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