A necessary condition for EPT graphs and a new family of minimal forbidden subgraphs

Autores
Alcón, Liliana Graciela; Gutierrez, Marisa; Mazzoleni, María Pía
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
An undirected graph G is called an EPT graph if it is the edge intersection graph of a family of paths in a tree. In this paper we define the concept of satellite of a clique and we give a necessary condition to be an EPT graph based on satellites of cliques. We characterize the minimal graphs which do not satisfy the previous condition, as a consequence we present a finite family of minimal forbidden subgraphs for the EPT class.
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: Gutierrez, Marisa. 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: 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
Materia
INTERSECTION GRAPHS
EPT GRAPHS
FORBIDDEN SUBGRAPHS
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:11336/241435
Acceder
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network_name_str CONICET Digital (CONICET)
spelling A necessary condition for EPT graphs and a new family of minimal forbidden subgraphsAlcón, Liliana GracielaGutierrez, MarisaMazzoleni, María PíaINTERSECTION GRAPHSEPT GRAPHSFORBIDDEN SUBGRAPHShttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1An undirected graph G is called an EPT graph if it is the edge intersection graph of a family of paths in a tree. In this paper we define the concept of satellite of a clique and we give a necessary condition to be an EPT graph based on satellites of cliques. We characterize the minimal graphs which do not satisfy the previous condition, as a consequence we present a finite family of minimal forbidden subgraphs for the EPT class.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: Gutierrez, Marisa. 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: 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; ArgentinaSociedad Brasilera de Matemática2010-10info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/241435Alcón, Liliana Graciela; Gutierrez, Marisa; Mazzoleni, María Pía; A necessary condition for EPT graphs and a new family of minimal forbidden subgraphs; Sociedad Brasilera de Matemática; Matemática Contemporânea; 39; 13; 10-2010; 111-1200103-90592317-6636CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://mc.sbm.org.br/volumes/volume-39/info:eu-repo/semantics/altIdentifier/doi/10.21711/231766362010/rmc3913info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:05:01Zoai:ri.conicet.gov.ar:11336/241435instacron: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:34982025-09-03 10:05:01.524CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv A necessary condition for EPT graphs and a new family of minimal forbidden subgraphs
title A necessary condition for EPT graphs and a new family of minimal forbidden subgraphs
spellingShingle A necessary condition for EPT graphs and a new family of minimal forbidden subgraphs
Alcón, Liliana Graciela
INTERSECTION GRAPHS
EPT GRAPHS
FORBIDDEN SUBGRAPHS
title_short A necessary condition for EPT graphs and a new family of minimal forbidden subgraphs
title_full A necessary condition for EPT graphs and a new family of minimal forbidden subgraphs
title_fullStr A necessary condition for EPT graphs and a new family of minimal forbidden subgraphs
title_full_unstemmed A necessary condition for EPT graphs and a new family of minimal forbidden subgraphs
title_sort A necessary condition for EPT graphs and a new family of minimal forbidden subgraphs
dc.creator.none.fl_str_mv Alcón, Liliana Graciela
Gutierrez, Marisa
Mazzoleni, María Pía
author Alcón, Liliana Graciela
author_facet Alcón, Liliana Graciela
Gutierrez, Marisa
Mazzoleni, María Pía
author_role author
author2 Gutierrez, Marisa
Mazzoleni, María Pía
author2_role author
author
dc.subject.none.fl_str_mv INTERSECTION GRAPHS
EPT GRAPHS
FORBIDDEN SUBGRAPHS
topic INTERSECTION GRAPHS
EPT GRAPHS
FORBIDDEN SUBGRAPHS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv An undirected graph G is called an EPT graph if it is the edge intersection graph of a family of paths in a tree. In this paper we define the concept of satellite of a clique and we give a necessary condition to be an EPT graph based on satellites of cliques. We characterize the minimal graphs which do not satisfy the previous condition, as a consequence we present a finite family of minimal forbidden subgraphs for the EPT class.
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: Gutierrez, Marisa. 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: 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
description An undirected graph G is called an EPT graph if it is the edge intersection graph of a family of paths in a tree. In this paper we define the concept of satellite of a clique and we give a necessary condition to be an EPT graph based on satellites of cliques. We characterize the minimal graphs which do not satisfy the previous condition, as a consequence we present a finite family of minimal forbidden subgraphs for the EPT class.
publishDate 2010
dc.date.none.fl_str_mv 2010-10
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/11336/241435
Alcón, Liliana Graciela; Gutierrez, Marisa; Mazzoleni, María Pía; A necessary condition for EPT graphs and a new family of minimal forbidden subgraphs; Sociedad Brasilera de Matemática; Matemática Contemporânea; 39; 13; 10-2010; 111-120
0103-9059
2317-6636
CONICET Digital
CONICET
url http://hdl.handle.net/11336/241435
identifier_str_mv Alcón, Liliana Graciela; Gutierrez, Marisa; Mazzoleni, María Pía; A necessary condition for EPT graphs and a new family of minimal forbidden subgraphs; Sociedad Brasilera de Matemática; Matemática Contemporânea; 39; 13; 10-2010; 111-120
0103-9059
2317-6636
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://mc.sbm.org.br/volumes/volume-39/
info:eu-repo/semantics/altIdentifier/doi/10.21711/231766362010/rmc3913
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
application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Sociedad Brasilera de Matemática
publisher.none.fl_str_mv Sociedad Brasilera 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 13.13397

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