Structural results on circular-arc graphs and circle graphs: a survey and the main open problems

Circular-arc graphs are the intersection graphs of open arcs on a circle. Circle graphs are the intersection graphs of chords on a circle. These graph classes have been the subject of much study for many years and numerous interesting results have been reported. Many subclasses of both circular-arc...

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Detalles Bibliográficos
Autores: Duran, Guillermo Alfredo, Grippo, Luciano Norberto, Safe, Martin Dario
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:11336/30477
Acceso en línea:http://hdl.handle.net/11336/30477
Access Level:acceso abierto
Palabra clave:Circle Graphs
Circular-Arc Graphs
Forbidden Subgraph Characterizations
Interval Graphs
Matrix Characterizations
Permutation Graphs
https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
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spelling Structural results on circular-arc graphs and circle graphs: a survey and the main open problemsDuran, Guillermo AlfredoGrippo, Luciano NorbertoSafe, Martin DarioCircle GraphsCircular-Arc GraphsForbidden Subgraph CharacterizationsInterval GraphsMatrix CharacterizationsPermutation Graphshttps://purl.org/becyt/ford/1.2https://purl.org/becyt/ford/1Circular-arc graphs are the intersection graphs of open arcs on a circle. Circle graphs are the intersection graphs of chords on a circle. These graph classes have been the subject of much study for many years and numerous interesting results have been reported. Many subclasses of both circular-arc graphs and circle graphs have been defined and different characterizations formulated. In this survey, we summarize the most important structural results related to circular-arc graphs and circle graphs and present the main open problems.Fil: Duran, Guillermo Alfredo. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales. Instituto de Cálculo; Argentina. Universidad de Chile; Chile. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Grippo, Luciano Norberto. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaFil: Safe, Martin Dario. Universidad Nacional de General Sarmiento. Instituto de Ciencias; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas; ArgentinaElsevier Science2014-02info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/30477Duran, Guillermo Alfredo; Grippo, Luciano Norberto; Safe, Martin Dario; Structural results on circular-arc graphs and circle graphs: a survey and the main open problems; Elsevier Science; Discrete Applied Mathematics; 164; Part 2; 2-2014; 427-4440166-218XCONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1016/j.dam.2012.12.021info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0166218X13000103info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2024-05-08T13:51:08Zoai:ri.conicet.gov.ar:11336/30477instacron: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 13:51:08.849CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Structural results on circular-arc graphs and circle graphs: a survey and the main open problems
title Structural results on circular-arc graphs and circle graphs: a survey and the main open problems
spellingShingle Structural results on circular-arc graphs and circle graphs: a survey and the main open problems
Duran, Guillermo Alfredo
Circle Graphs
Circular-Arc Graphs
Forbidden Subgraph Characterizations
Interval Graphs
Matrix Characterizations
Permutation Graphs
https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
title_short Structural results on circular-arc graphs and circle graphs: a survey and the main open problems
title_full Structural results on circular-arc graphs and circle graphs: a survey and the main open problems
title_fullStr Structural results on circular-arc graphs and circle graphs: a survey and the main open problems
title_full_unstemmed Structural results on circular-arc graphs and circle graphs: a survey and the main open problems
title_sort Structural results on circular-arc graphs and circle graphs: a survey and the main open problems
dc.creator.none.fl_str_mv Duran, Guillermo Alfredo
Grippo, Luciano Norberto
Safe, Martin Dario
author Duran, Guillermo Alfredo
author_facet Duran, Guillermo Alfredo
Grippo, Luciano Norberto
Safe, Martin Dario
author_role author
author2 Grippo, Luciano Norberto
Safe, Martin Dario
author2_role author
author
dc.subject.none.fl_str_mv Circle Graphs
Circular-Arc Graphs
Forbidden Subgraph Characterizations
Interval Graphs
Matrix Characterizations
Permutation Graphs
https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
topic Circle Graphs
Circular-Arc Graphs
Forbidden Subgraph Characterizations
Interval Graphs
Matrix Characterizations
Permutation Graphs
https://purl.org/becyt/ford/1.2
https://purl.org/becyt/ford/1
description Circular-arc graphs are the intersection graphs of open arcs on a circle. Circle graphs are the intersection graphs of chords on a circle. These graph classes have been the subject of much study for many years and numerous interesting results have been reported. Many subclasses of both circular-arc graphs and circle graphs have been defined and different characterizations formulated. In this survey, we summarize the most important structural results related to circular-arc graphs and circle graphs and present the main open problems.
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/11336/30477
Duran, Guillermo Alfredo; Grippo, Luciano Norberto; Safe, Martin Dario; Structural results on circular-arc graphs and circle graphs: a survey and the main open problems; Elsevier Science; Discrete Applied Mathematics; 164; Part 2; 2-2014; 427-444
0166-218X
CONICET Digital
CONICET
url http://hdl.handle.net/11336/30477
identifier_str_mv Duran, Guillermo Alfredo; Grippo, Luciano Norberto; Safe, Martin Dario; Structural results on circular-arc graphs and circle graphs: a survey and the main open problems; Elsevier Science; Discrete Applied Mathematics; 164; Part 2; 2-2014; 427-444
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/doi/10.1016/j.dam.2012.12.021
info:eu-repo/semantics/altIdentifier/url/http://www.sciencedirect.com/science/article/pii/S0166218X13000103
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Elsevier Science
publisher.none.fl_str_mv Elsevier Science
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 15,811543

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