Relationship among B₁-EPG, VPT and EPT graphs classes

Autores
Alcón, Liliana Graciela; Mazzoleni, María Pía; Dias Dos Santos, Tanilson
Año de publicación
2023
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
This research contains as a main result the proof that every chordal B₁-EPG graph is simultaneously in the graph classes VPT and EPT. In addition, we describe structures that must be present in any B₁-EPG graph which does not admit a Helly-B1-EPG representation. In particular, this paper presents some features of non-trivial families of graphs properly contained in Helly-B₁-EPG, namely bipartite, block, cactus and line graphs of bipartite graphs.
Facultad de Ciencias Exactas
Departamento de Matemática
Materia
Ciencias Exactas
Matemática
edge-intersection of paths on a grid
edge-intersection graph of paths in a tree
Helly property
intersection graphs
single bend paths
vertex-intersection graph of paths in a tree
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-nd/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/162664
Acceder
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network_name_str SEDICI (UNLP)
spelling Relationship among B₁-EPG, VPT and EPT graphs classesAlcón, Liliana GracielaMazzoleni, María PíaDias Dos Santos, TanilsonCiencias ExactasMatemáticaedge-intersection of paths on a gridedge-intersection graph of paths in a treeHelly propertyintersection graphssingle bend pathsvertex-intersection graph of paths in a treeThis research contains as a main result the proof that every chordal B₁-EPG graph is simultaneously in the graph classes VPT and EPT. In addition, we describe structures that must be present in any B₁-EPG graph which does not admit a Helly-B1-EPG representation. In particular, this paper presents some features of non-trivial families of graphs properly contained in Helly-B₁-EPG, namely bipartite, block, cactus and line graphs of bipartite graphs.Facultad de Ciencias ExactasDepartamento de Matemática2023info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf841-858http://sedici.unlp.edu.ar/handle/10915/162664enginfo:eu-repo/semantics/altIdentifier/issn/1234-3099info:eu-repo/semantics/altIdentifier/issn/2083-5892info:eu-repo/semantics/altIdentifier/doi/10.7151/dmgt.2408info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-nd/4.0/Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:23:40Zoai:sedici.unlp.edu.ar:10915/162664Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:23:40.993SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Relationship among B₁-EPG, VPT and EPT graphs classes
title Relationship among B₁-EPG, VPT and EPT graphs classes
spellingShingle Relationship among B₁-EPG, VPT and EPT graphs classes
Alcón, Liliana Graciela
Ciencias Exactas
Matemática
edge-intersection of paths on a grid
edge-intersection graph of paths in a tree
Helly property
intersection graphs
single bend paths
vertex-intersection graph of paths in a tree
title_short Relationship among B₁-EPG, VPT and EPT graphs classes
title_full Relationship among B₁-EPG, VPT and EPT graphs classes
title_fullStr Relationship among B₁-EPG, VPT and EPT graphs classes
title_full_unstemmed Relationship among B₁-EPG, VPT and EPT graphs classes
title_sort Relationship among B₁-EPG, VPT and EPT graphs classes
dc.creator.none.fl_str_mv Alcón, Liliana Graciela
Mazzoleni, María Pía
Dias Dos Santos, Tanilson
author Alcón, Liliana Graciela
author_facet Alcón, Liliana Graciela
Mazzoleni, María Pía
Dias Dos Santos, Tanilson
author_role author
author2 Mazzoleni, María Pía
Dias Dos Santos, Tanilson
author2_role author
author
dc.subject.none.fl_str_mv Ciencias Exactas
Matemática
edge-intersection of paths on a grid
edge-intersection graph of paths in a tree
Helly property
intersection graphs
single bend paths
vertex-intersection graph of paths in a tree
topic Ciencias Exactas
Matemática
edge-intersection of paths on a grid
edge-intersection graph of paths in a tree
Helly property
intersection graphs
single bend paths
vertex-intersection graph of paths in a tree
dc.description.none.fl_txt_mv This research contains as a main result the proof that every chordal B₁-EPG graph is simultaneously in the graph classes VPT and EPT. In addition, we describe structures that must be present in any B₁-EPG graph which does not admit a Helly-B1-EPG representation. In particular, this paper presents some features of non-trivial families of graphs properly contained in Helly-B₁-EPG, namely bipartite, block, cactus and line graphs of bipartite graphs.
Facultad de Ciencias Exactas
Departamento de Matemática
description This research contains as a main result the proof that every chordal B₁-EPG graph is simultaneously in the graph classes VPT and EPT. In addition, we describe structures that must be present in any B₁-EPG graph which does not admit a Helly-B1-EPG representation. In particular, this paper presents some features of non-trivial families of graphs properly contained in Helly-B₁-EPG, namely bipartite, block, cactus and line graphs of bipartite graphs.
publishDate 2023
dc.date.none.fl_str_mv 2023
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/10915/162664
url http://sedici.unlp.edu.ar/handle/10915/162664
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/1234-3099
info:eu-repo/semantics/altIdentifier/issn/2083-5892
info:eu-repo/semantics/altIdentifier/doi/10.7151/dmgt.2408
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-nd/4.0/
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-nd/4.0/
Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)
dc.format.none.fl_str_mv application/pdf
841-858
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
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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