On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid

Autores
Alcón, Liliana Graciela; Bonomo, Flavia; Mazzoleni, María Pía; de Souza Oliveira, Fabiano
Año de publicación
2021
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this paper, we study the class of PVPG graphs, this is a subclass of VPG graphs such that all the representing paths are between two parallel lines of the grid and have their endpoints on these lines. We prove that PVPG = Co-comparability. Moreover, we present some minimal forbidden induced subgraphs for the class of B1-PVPG 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. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Bonomo, Flavia. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; 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. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: de Souza Oliveira, Fabiano. Universidade do Estado de Rio do Janeiro; Brasil
Materia
VERTEX INTERSECTION GRAPHS
GRIDS
CO-COMPARABILITY GRAPHS
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:11336/164141
Acceder
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network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling On PVPG graphs: a subclass of vertex intersection graphs of paths on a gridAlcón, Liliana GracielaBonomo, FlaviaMazzoleni, María Píade Souza Oliveira, FabianoVERTEX INTERSECTION GRAPHSGRIDSCO-COMPARABILITY GRAPHShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this paper, we study the class of PVPG graphs, this is a subclass of VPG graphs such that all the representing paths are between two parallel lines of the grid and have their endpoints on these lines. We prove that PVPG = Co-comparability. Moreover, we present some minimal forbidden induced subgraphs for the class of B1-PVPG 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. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: Bonomo, Flavia. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; 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. Centro Científico Tecnológico Conicet - La Plata; ArgentinaFil: de Souza Oliveira, Fabiano. Universidade do Estado de Rio do Janeiro; BrasilSociedade Brasileira de Matemática2021-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/164141Alcón, Liliana Graciela; Bonomo, Flavia; Mazzoleni, María Pía; de Souza Oliveira, Fabiano; On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid; Sociedade Brasileira de Matemática; Matemática Contemporânea; 48; 10-2021; 12-210103-9059CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.21711/231766362021/rmc482info:eu-repo/semantics/altIdentifier/url/https://mc.sbm.org.br/wp-content/uploads/sites/9/sites/9/2022/01/Article-02-vol-48.pdfinfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:22:53Zoai:ri.conicet.gov.ar:11336/164141instacron: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:34982025-09-10 13:22:53.656CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid
title On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid
spellingShingle On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid
Alcón, Liliana Graciela
VERTEX INTERSECTION GRAPHS
GRIDS
CO-COMPARABILITY GRAPHS
title_short On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid
title_full On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid
title_fullStr On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid
title_full_unstemmed On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid
title_sort On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid
dc.creator.none.fl_str_mv Alcón, Liliana Graciela
Bonomo, Flavia
Mazzoleni, María Pía
de Souza Oliveira, Fabiano
author Alcón, Liliana Graciela
author_facet Alcón, Liliana Graciela
Bonomo, Flavia
Mazzoleni, María Pía
de Souza Oliveira, Fabiano
author_role author
author2 Bonomo, Flavia
Mazzoleni, María Pía
de Souza Oliveira, Fabiano
author2_role author
author
author
dc.subject.none.fl_str_mv VERTEX INTERSECTION GRAPHS
GRIDS
CO-COMPARABILITY GRAPHS
topic VERTEX INTERSECTION GRAPHS
GRIDS
CO-COMPARABILITY GRAPHS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this paper, we study the class of PVPG graphs, this is a subclass of VPG graphs such that all the representing paths are between two parallel lines of the grid and have their endpoints on these lines. We prove that PVPG = Co-comparability. Moreover, we present some minimal forbidden induced subgraphs for the class of B1-PVPG 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. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: Bonomo, Flavia. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Departamento de Computación; 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. Centro Científico Tecnológico Conicet - La Plata; Argentina
Fil: de Souza Oliveira, Fabiano. Universidade do Estado de Rio do Janeiro; Brasil
description In this paper, we study the class of PVPG graphs, this is a subclass of VPG graphs such that all the representing paths are between two parallel lines of the grid and have their endpoints on these lines. We prove that PVPG = Co-comparability. Moreover, we present some minimal forbidden induced subgraphs for the class of B1-PVPG graphs.
publishDate 2021
dc.date.none.fl_str_mv 2021-10
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/11336/164141
Alcón, Liliana Graciela; Bonomo, Flavia; Mazzoleni, María Pía; de Souza Oliveira, Fabiano; On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid; Sociedade Brasileira de Matemática; Matemática Contemporânea; 48; 10-2021; 12-21
0103-9059
CONICET Digital
CONICET
url http://hdl.handle.net/11336/164141
identifier_str_mv Alcón, Liliana Graciela; Bonomo, Flavia; Mazzoleni, María Pía; de Souza Oliveira, Fabiano; On PVPG graphs: a subclass of vertex intersection graphs of paths on a grid; Sociedade Brasileira de Matemática; Matemática Contemporânea; 48; 10-2021; 12-21
0103-9059
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.21711/231766362021/rmc482
info:eu-repo/semantics/altIdentifier/url/https://mc.sbm.org.br/wp-content/uploads/sites/9/sites/9/2022/01/Article-02-vol-48.pdf
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 Sociedade Brasileira de Matemática
publisher.none.fl_str_mv Sociedade Brasileira de Matemática
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 12.48226

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