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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Autores principales: Durán, Guillermo A., Grippo, Luciano Norberto, Safe, Martín Darío
Publicado: 2013
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0166218X_v_n_p_Duran
http://hdl.handle.net/20.500.12110/paper_0166218X_v_n_p_Duran
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spelling paper:paper_0166218X_v_n_p_Duran2023-06-08T15:15:37Z Structural results on circular-arc graphs and circle graphs: A survey and the main open problems Durán, Guillermo A. Grippo, Luciano Norberto Safe, Martín Darío Circle graphs Circular-arc graphs Forbidden subgraph characterizations Interval graphs Matrix characterizations Permutation graphs 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. © 2013. Fil:Durán, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Grippo, L.N. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Safe, M.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2013 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0166218X_v_n_p_Duran http://hdl.handle.net/20.500.12110/paper_0166218X_v_n_p_Duran
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Circle graphs
Circular-arc graphs
Forbidden subgraph characterizations
Interval graphs
Matrix characterizations
Permutation graphs
spellingShingle Circle graphs
Circular-arc graphs
Forbidden subgraph characterizations
Interval graphs
Matrix characterizations
Permutation graphs
Durán, Guillermo A.
Grippo, Luciano Norberto
Safe, Martín Darío
Structural results on circular-arc graphs and circle graphs: A survey and the main open problems
topic_facet Circle graphs
Circular-arc graphs
Forbidden subgraph characterizations
Interval graphs
Matrix characterizations
Permutation graphs
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. © 2013.
author Durán, Guillermo A.
Grippo, Luciano Norberto
Safe, Martín Darío
author_facet Durán, Guillermo A.
Grippo, Luciano Norberto
Safe, Martín Darío
author_sort Durán, Guillermo A.
title Structural results on circular-arc graphs and circle graphs: A survey and the main open problems
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
publishDate 2013
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0166218X_v_n_p_Duran
http://hdl.handle.net/20.500.12110/paper_0166218X_v_n_p_Duran
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AT grippolucianonorberto structuralresultsoncirculararcgraphsandcirclegraphsasurveyandthemainopenproblems
AT safemartindario structuralresultsoncirculararcgraphsandcirclegraphsasurveyandthemainopenproblems
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