On the recognition of neighborhood inclusion posets

Autores
de Caria, Pablo Jesús
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Let G be a simple graph. When we order the different closed neighborhoods of G by inclusion, the resulting poset is called the neighborhood inclusion poset. In this paper, we show that the problem of determining whether a poset is a neighborhood inclusion poset is NP-complete. We also apply this result to prove the NP-completeness of another problem about clique trees of chordal graphs and compatible trees of dually chordal graphs.
Fil: de Caria, Pablo Jesús. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Materia
Chordal Graph
Clique Tree
Compatible Tree
Dually Chordal Graph
Neighborhood Inclusion
Poset
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:11336/49798
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/49798
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling On the recognition of neighborhood inclusion posetsde Caria, Pablo JesúsChordal GraphClique TreeCompatible TreeDually Chordal GraphNeighborhood InclusionPosethttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Let G be a simple graph. When we order the different closed neighborhoods of G by inclusion, the resulting poset is called the neighborhood inclusion poset. In this paper, we show that the problem of determining whether a poset is a neighborhood inclusion poset is NP-complete. We also apply this result to prove the NP-completeness of another problem about clique trees of chordal graphs and compatible trees of dually chordal graphs.Fil: de Caria, Pablo Jesús. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier Science2017-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/49798de Caria, Pablo Jesús; On the recognition of neighborhood inclusion posets; Elsevier Science; Electronic Notes in Discrete Mathematics; 62; 11-2017; 285-2901571-0653CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1571065317302883info:eu-repo/semantics/altIdentifier/doi/10.1016/j.endm.2017.10.049info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1571065317302883info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-12-23T13:11:19Zoai:ri.conicet.gov.ar:11336/49798instacron: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:34982025-12-23 13:11:20.181CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the recognition of neighborhood inclusion posets
title On the recognition of neighborhood inclusion posets
spellingShingle On the recognition of neighborhood inclusion posets
de Caria, Pablo Jesús
Chordal Graph
Clique Tree
Compatible Tree
Dually Chordal Graph
Neighborhood Inclusion
Poset
title_short On the recognition of neighborhood inclusion posets
title_full On the recognition of neighborhood inclusion posets
title_fullStr On the recognition of neighborhood inclusion posets
title_full_unstemmed On the recognition of neighborhood inclusion posets
title_sort On the recognition of neighborhood inclusion posets
dc.creator.none.fl_str_mv de Caria, Pablo Jesús
author de Caria, Pablo Jesús
author_facet de Caria, Pablo Jesús
author_role author
dc.subject.none.fl_str_mv Chordal Graph
Clique Tree
Compatible Tree
Dually Chordal Graph
Neighborhood Inclusion
Poset
topic Chordal Graph
Clique Tree
Compatible Tree
Dually Chordal Graph
Neighborhood Inclusion
Poset
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Let G be a simple graph. When we order the different closed neighborhoods of G by inclusion, the resulting poset is called the neighborhood inclusion poset. In this paper, we show that the problem of determining whether a poset is a neighborhood inclusion poset is NP-complete. We also apply this result to prove the NP-completeness of another problem about clique trees of chordal graphs and compatible trees of dually chordal graphs.
Fil: de Caria, Pablo Jesús. Universidad Nacional de La Plata; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
description Let G be a simple graph. When we order the different closed neighborhoods of G by inclusion, the resulting poset is called the neighborhood inclusion poset. In this paper, we show that the problem of determining whether a poset is a neighborhood inclusion poset is NP-complete. We also apply this result to prove the NP-completeness of another problem about clique trees of chordal graphs and compatible trees of dually chordal graphs.
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/11336/49798
de Caria, Pablo Jesús; On the recognition of neighborhood inclusion posets; Elsevier Science; Electronic Notes in Discrete Mathematics; 62; 11-2017; 285-290
1571-0653
CONICET Digital
CONICET
url http://hdl.handle.net/11336/49798
identifier_str_mv de Caria, Pablo Jesús; On the recognition of neighborhood inclusion posets; Elsevier Science; Electronic Notes in Discrete Mathematics; 62; 11-2017; 285-290
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/url/https://www.sciencedirect.com/science/article/pii/S1571065317302883
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.endm.2017.10.049
info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S1571065317302883
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 Science
publisher.none.fl_str_mv Elsevier Science
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 12.952241

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