Relationship among B1-EPG, VPT and EPT Graphs Classes

Autores
Alcón, Liliana Graciela; Mazzoleni, María Pía; Santos, Tanilson Dias Dos
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.
Fil: Alcón, Liliana Graciela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Mazzoleni, María Pía. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Santos, Tanilson Dias Dos. Universidade Federal do Rio de Janeiro; Brasil
Materia
EDGE-INTERSECTION GRAPH OF PATHS IN A TREE
EDGE-INTERSECTION OF PATHS ON A GRID
HELLY PROPERTY
INTERSECTION GRAPHS
SINGLE BEND PATHS
VERTEX-INTERSECTION GRAPH OF PATHS IN A TREE
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/221977
Acceder
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repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Relationship among B1-EPG, VPT and EPT Graphs ClassesAlcón, Liliana GracielaMazzoleni, María PíaSantos, Tanilson Dias DosEDGE-INTERSECTION GRAPH OF PATHS IN A TREEEDGE-INTERSECTION OF PATHS ON A GRIDHELLY PROPERTYINTERSECTION GRAPHSSINGLE BEND PATHSVERTEX-INTERSECTION GRAPH OF PATHS IN A TREEhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1This 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.Fil: Alcón, Liliana Graciela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Mazzoleni, María Pía. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Santos, Tanilson Dias Dos. Universidade Federal do Rio de Janeiro; BrasilUniversity of Zielona Gora2023-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/221977Alcón, Liliana Graciela; Mazzoleni, María Pía; Santos, Tanilson Dias Dos; Relationship among B1-EPG, VPT and EPT Graphs Classes; University of Zielona Gora; Discussiones Mathematicae Graph Theory; 43; 5-2023; 841-8582083-5892CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.7151/dmgt.2408info:eu-repo/semantics/altIdentifier/url/https://www.dmgt.uz.zgora.pl/publish/article.php?doi=2408info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-29T09:49:35Zoai:ri.conicet.gov.ar:11336/221977instacron: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:34982025-09-29 09:49:35.516CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
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
EDGE-INTERSECTION GRAPH OF PATHS IN A TREE
EDGE-INTERSECTION OF PATHS ON A GRID
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
Santos, Tanilson Dias Dos
author Alcón, Liliana Graciela
author_facet Alcón, Liliana Graciela
Mazzoleni, María Pía
Santos, Tanilson Dias Dos
author_role author
author2 Mazzoleni, María Pía
Santos, Tanilson Dias Dos
author2_role author
author
dc.subject.none.fl_str_mv EDGE-INTERSECTION GRAPH OF PATHS IN A TREE
EDGE-INTERSECTION OF PATHS ON A GRID
HELLY PROPERTY
INTERSECTION GRAPHS
SINGLE BEND PATHS
VERTEX-INTERSECTION GRAPH OF PATHS IN A TREE
topic EDGE-INTERSECTION GRAPH OF PATHS IN A TREE
EDGE-INTERSECTION OF PATHS ON A GRID
HELLY PROPERTY
INTERSECTION GRAPHS
SINGLE BEND PATHS
VERTEX-INTERSECTION GRAPH OF PATHS IN A TREE
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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.
Fil: Alcón, Liliana Graciela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Mazzoleni, María Pía. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; Argentina
Fil: Santos, Tanilson Dias Dos. Universidade Federal do Rio de Janeiro; Brasil
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 2023-05
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/11336/221977
Alcón, Liliana Graciela; Mazzoleni, María Pía; Santos, Tanilson Dias Dos; Relationship among B1-EPG, VPT and EPT Graphs Classes; University of Zielona Gora; Discussiones Mathematicae Graph Theory; 43; 5-2023; 841-858
2083-5892
CONICET Digital
CONICET
url http://hdl.handle.net/11336/221977
identifier_str_mv Alcón, Liliana Graciela; Mazzoleni, María Pía; Santos, Tanilson Dias Dos; Relationship among B1-EPG, VPT and EPT Graphs Classes; University of Zielona Gora; Discussiones Mathematicae Graph Theory; 43; 5-2023; 841-858
2083-5892
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.7151/dmgt.2408
info:eu-repo/semantics/altIdentifier/url/https://www.dmgt.uz.zgora.pl/publish/article.php?doi=2408
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv University of Zielona Gora
publisher.none.fl_str_mv University of Zielona Gora
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 13.070432

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