On the Existence of Critical Clique-Helly Graphs

Autores
Alcón, Liliana Graciela; Pizaña, Miguel; Ravenna, Gabriela Susana
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
A graph is clique-Helly if any family of mutually intersecting cliques has non-empty intersection. Dourado, Protti and Szwarcfiter conjectured that every clique-Helly graph contains a vertex whose removal maintains it a clique-Helly graph. We will present a counterexample to this conjecture.
Facultad de Ciencias Exactas
Materia
Matemática
Helly property
Clique-Helly graphs
Clique graphs
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:10915/102977
Acceder
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network_name_str SEDICI (UNLP)
spelling On the Existence of Critical Clique-Helly GraphsAlcón, Liliana GracielaPizaña, MiguelRavenna, Gabriela SusanaMatemáticaHelly propertyClique-Helly graphsClique graphsA graph is clique-Helly if any family of mutually intersecting cliques has non-empty intersection. Dourado, Protti and Szwarcfiter conjectured that every clique-Helly graph contains a vertex whose removal maintains it a clique-Helly graph. We will present a counterexample to this conjecture.Facultad de Ciencias Exactas2017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf231-236http://sedici.unlp.edu.ar/handle/10915/102977enginfo:eu-repo/semantics/altIdentifier/issn/1571-0653info:eu-repo/semantics/altIdentifier/doi/10.1016/j.endm.2017.10.040info: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:UNLP2025-09-03T10:54:29Zoai:sedici.unlp.edu.ar:10915/102977Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 10:54:30.082SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv On the Existence of Critical Clique-Helly Graphs
title On the Existence of Critical Clique-Helly Graphs
spellingShingle On the Existence of Critical Clique-Helly Graphs
Alcón, Liliana Graciela
Matemática
Helly property
Clique-Helly graphs
Clique graphs
title_short On the Existence of Critical Clique-Helly Graphs
title_full On the Existence of Critical Clique-Helly Graphs
title_fullStr On the Existence of Critical Clique-Helly Graphs
title_full_unstemmed On the Existence of Critical Clique-Helly Graphs
title_sort On the Existence of Critical Clique-Helly Graphs
dc.creator.none.fl_str_mv Alcón, Liliana Graciela
Pizaña, Miguel
Ravenna, Gabriela Susana
author Alcón, Liliana Graciela
author_facet Alcón, Liliana Graciela
Pizaña, Miguel
Ravenna, Gabriela Susana
author_role author
author2 Pizaña, Miguel
Ravenna, Gabriela Susana
author2_role author
author
dc.subject.none.fl_str_mv Matemática
Helly property
Clique-Helly graphs
Clique graphs
topic Matemática
Helly property
Clique-Helly graphs
Clique graphs
dc.description.none.fl_txt_mv A graph is clique-Helly if any family of mutually intersecting cliques has non-empty intersection. Dourado, Protti and Szwarcfiter conjectured that every clique-Helly graph contains a vertex whose removal maintains it a clique-Helly graph. We will present a counterexample to this conjecture.
Facultad de Ciencias Exactas
description A graph is clique-Helly if any family of mutually intersecting cliques has non-empty intersection. Dourado, Protti and Szwarcfiter conjectured that every clique-Helly graph contains a vertex whose removal maintains it a clique-Helly graph. We will present a counterexample to this conjecture.
publishDate 2017
dc.date.none.fl_str_mv 2017
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/102977
url http://sedici.unlp.edu.ar/handle/10915/102977
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1571-0653
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.endm.2017.10.040
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
231-236
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
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reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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score 13.13397

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