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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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 |
work_keys_str_mv |
AT duranguillermoa structuralresultsoncirculararcgraphsandcirclegraphsasurveyandthemainopenproblems AT grippolucianonorberto structuralresultsoncirculararcgraphsandcirclegraphsasurveyandthemainopenproblems AT safemartindario structuralresultsoncirculararcgraphsandcirclegraphsasurveyandthemainopenproblems |
_version_ |
1768545045602893824 |