On the correspondence between tree representations of chordal and dually chordal graphs

Chordal graphs and their clique graphs (called dually chordal graphs) possess characteristic tree representations, namely, the clique tree and the compatible tree, respectively. The following problem is studied: given a chordal graph G, determine if the clique trees of G are exactly the compatible t...

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Detalles Bibliográficos
Autores: de Caria, Pablo Jesús, Gutierrez, Marisa
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2014
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/31143
Acceso en línea:http://hdl.handle.net/11336/31143
Access Level:acceso abierto
Palabra clave:Chordal Graph
Dually Chordal Graph
Basic Chordal Graph
Clique Tree
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
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spelling On the correspondence between tree representations of chordal and dually chordal graphsde Caria, Pablo JesúsGutierrez, MarisaChordal GraphDually Chordal GraphBasic Chordal GraphClique Treehttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1Chordal graphs and their clique graphs (called dually chordal graphs) possess characteristic tree representations, namely, the clique tree and the compatible tree, respectively. The following problem is studied: given a chordal graph G, determine if the clique trees of G are exactly the compatible trees of the clique graph of G. This leads to a new subclass of chordal graphs, basic chordal graphs, which is here characterized. The question is also approached backwards: given a dually chordal graph G, we find all the basic chordal graphs with clique graph equal to G. This approach leads to the possibility of considering several properties of clique trees of chordal graphs and finding their counterparts in compatible trees of dually chordal graphs.Fil: de Caria, Pablo Jesús. 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. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaElsevier2014-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/31143Gutierrez, Marisa; de Caria, Pablo Jesús; On the correspondence between tree representations of chordal and dually chordal graphs; Elsevier; Discrete Applied Mathematics; 164; Part 2; 2-2014; 500-5110166-218XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0166218X13003223info:eu-repo/semantics/altIdentifier/doi/10.1016/j.dam.2013.07.011info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T14:03:49Zoai:ri.conicet.gov.ar:11336/31143instacron: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:34982024-05-08 14:03:49.393CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On the correspondence between tree representations of chordal and dually chordal graphs
title On the correspondence between tree representations of chordal and dually chordal graphs
spellingShingle On the correspondence between tree representations of chordal and dually chordal graphs
de Caria, Pablo Jesús
Chordal Graph
Dually Chordal Graph
Basic Chordal Graph
Clique Tree
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
title_short On the correspondence between tree representations of chordal and dually chordal graphs
title_full On the correspondence between tree representations of chordal and dually chordal graphs
title_fullStr On the correspondence between tree representations of chordal and dually chordal graphs
title_full_unstemmed On the correspondence between tree representations of chordal and dually chordal graphs
title_sort On the correspondence between tree representations of chordal and dually chordal graphs
dc.creator.none.fl_str_mv de Caria, Pablo Jesús
Gutierrez, Marisa
author de Caria, Pablo Jesús
author_facet de Caria, Pablo Jesús
Gutierrez, Marisa
author_role author
author2 Gutierrez, Marisa
author2_role author
dc.subject.none.fl_str_mv Chordal Graph
Dually Chordal Graph
Basic Chordal Graph
Clique Tree
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
topic Chordal Graph
Dually Chordal Graph
Basic Chordal Graph
Clique Tree
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
description Chordal graphs and their clique graphs (called dually chordal graphs) possess characteristic tree representations, namely, the clique tree and the compatible tree, respectively. The following problem is studied: given a chordal graph G, determine if the clique trees of G are exactly the compatible trees of the clique graph of G. This leads to a new subclass of chordal graphs, basic chordal graphs, which is here characterized. The question is also approached backwards: given a dually chordal graph G, we find all the basic chordal graphs with clique graph equal to G. This approach leads to the possibility of considering several properties of clique trees of chordal graphs and finding their counterparts in compatible trees of dually chordal graphs.
publishDate 2014
dc.date.none.fl_str_mv 2014-02
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/11336/31143
Gutierrez, Marisa; de Caria, Pablo Jesús; On the correspondence between tree representations of chordal and dually chordal graphs; Elsevier; Discrete Applied Mathematics; 164; Part 2; 2-2014; 500-511
0166-218X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/31143
identifier_str_mv Gutierrez, Marisa; de Caria, Pablo Jesús; On the correspondence between tree representations of chordal and dually chordal graphs; Elsevier; Discrete Applied Mathematics; 164; Part 2; 2-2014; 500-511
0166-218X
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0166218X13003223
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.dam.2013.07.011
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 Elsevier
publisher.none.fl_str_mv Elsevier
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
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 15.81155

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