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
- Institución
- Universidad Nacional de La Plata
- OAI Identificador
- oai:sedici.unlp.edu.ar:10915/162664
Ver los metadatos del registro completo
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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:UNLP2025-09-29T11:42:46Zoai: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:13292025-09-29 11:42:46.438SEDICI (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) |
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openAccess |
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http://creativecommons.org/licenses/by-nc-nd/4.0/ Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) |
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