Partial Characterizations of Circular-Arc Graphs
A circular-arc graph is the intersection graph of a family of arcs on a circle. A characterization by forbidden induced subgraphs for this class of graphs is not known, and in this work we present a partial result in this direction. We characterize circular-arc graphs by a list of minimal forbidden...
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paper:paper_15710653_v30_nC_p45_Bonomo2023-06-08T16:24:23Z Partial Characterizations of Circular-Arc Graphs Bonomo, Flavia Durán, Guillermo A. Grippo, Luciano Norberto Safe, Martín Darío circular-arc graphs claw-free chordal cographs diamond-free graphs paw-free graphs A circular-arc graph is the intersection graph of a family of arcs on a circle. A characterization by forbidden induced subgraphs for this class of graphs is not known, and in this work we present a partial result in this direction. We characterize circular-arc graphs by a list of minimal forbidden induced subgraphs when the graph belongs to the following classes: diamond-free graphs, P4-free graphs, paw-free graphs, and claw-free chordal graphs. © 2008 Elsevier B.V. All rights reserved. Fil:Bonomo, F. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 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. 2008 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v30_nC_p45_Bonomo http://hdl.handle.net/20.500.12110/paper_15710653_v30_nC_p45_Bonomo |
institution |
Universidad de Buenos Aires |
institution_str |
I-28 |
repository_str |
R-134 |
collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
topic |
circular-arc graphs claw-free chordal cographs diamond-free graphs paw-free graphs |
spellingShingle |
circular-arc graphs claw-free chordal cographs diamond-free graphs paw-free graphs Bonomo, Flavia Durán, Guillermo A. Grippo, Luciano Norberto Safe, Martín Darío Partial Characterizations of Circular-Arc Graphs |
topic_facet |
circular-arc graphs claw-free chordal cographs diamond-free graphs paw-free graphs |
description |
A circular-arc graph is the intersection graph of a family of arcs on a circle. A characterization by forbidden induced subgraphs for this class of graphs is not known, and in this work we present a partial result in this direction. We characterize circular-arc graphs by a list of minimal forbidden induced subgraphs when the graph belongs to the following classes: diamond-free graphs, P4-free graphs, paw-free graphs, and claw-free chordal graphs. © 2008 Elsevier B.V. All rights reserved. |
author |
Bonomo, Flavia Durán, Guillermo A. Grippo, Luciano Norberto Safe, Martín Darío |
author_facet |
Bonomo, Flavia Durán, Guillermo A. Grippo, Luciano Norberto Safe, Martín Darío |
author_sort |
Bonomo, Flavia |
title |
Partial Characterizations of Circular-Arc Graphs |
title_short |
Partial Characterizations of Circular-Arc Graphs |
title_full |
Partial Characterizations of Circular-Arc Graphs |
title_fullStr |
Partial Characterizations of Circular-Arc Graphs |
title_full_unstemmed |
Partial Characterizations of Circular-Arc Graphs |
title_sort |
partial characterizations of circular-arc graphs |
publishDate |
2008 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v30_nC_p45_Bonomo http://hdl.handle.net/20.500.12110/paper_15710653_v30_nC_p45_Bonomo |
work_keys_str_mv |
AT bonomoflavia partialcharacterizationsofcirculararcgraphs AT duranguillermoa partialcharacterizationsofcirculararcgraphs AT grippolucianonorberto partialcharacterizationsofcirculararcgraphs AT safemartindario partialcharacterizationsofcirculararcgraphs |
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1768544383986040832 |