Balancedness of some subclasses of circular-arc graphs
A graph is balanced if its clique-vertex incidence matrix is balanced, i.e., it does not contain a square submatrix of odd order with exactly two ones per row and per column. Interval graphs, obtained as intersection graphs of intervals of a line, are well-known examples of balanced graphs. A circul...
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paper:paper_15710653_v36_nC_p1121_Bonomo2023-06-08T16:24:26Z Balancedness of some subclasses of circular-arc graphs Bonomo, Flavia Durán, Guillermo A. Safe, Martín Darío Balanced graphs Circular-arc graphs Forbidden subgraphs Perfect graphs A graph is balanced if its clique-vertex incidence matrix is balanced, i.e., it does not contain a square submatrix of odd order with exactly two ones per row and per column. Interval graphs, obtained as intersection graphs of intervals of a line, are well-known examples of balanced graphs. A circular-arc graph is the intersection graph of a family of arcs on a circle. Circular-arc graphs generalize interval graphs, but are not balanced in general. In this work we characterize balanced graphs by minimal forbidden induced subgraphs restricted to graphs that belong to some classes of circular-arc graphs. © 2010 Elsevier B.V. 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:Safe, M.D. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. 2010 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v36_nC_p1121_Bonomo http://hdl.handle.net/20.500.12110/paper_15710653_v36_nC_p1121_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 |
Balanced graphs Circular-arc graphs Forbidden subgraphs Perfect graphs |
spellingShingle |
Balanced graphs Circular-arc graphs Forbidden subgraphs Perfect graphs Bonomo, Flavia Durán, Guillermo A. Safe, Martín Darío Balancedness of some subclasses of circular-arc graphs |
topic_facet |
Balanced graphs Circular-arc graphs Forbidden subgraphs Perfect graphs |
description |
A graph is balanced if its clique-vertex incidence matrix is balanced, i.e., it does not contain a square submatrix of odd order with exactly two ones per row and per column. Interval graphs, obtained as intersection graphs of intervals of a line, are well-known examples of balanced graphs. A circular-arc graph is the intersection graph of a family of arcs on a circle. Circular-arc graphs generalize interval graphs, but are not balanced in general. In this work we characterize balanced graphs by minimal forbidden induced subgraphs restricted to graphs that belong to some classes of circular-arc graphs. © 2010 Elsevier B.V. |
author |
Bonomo, Flavia Durán, Guillermo A. Safe, Martín Darío |
author_facet |
Bonomo, Flavia Durán, Guillermo A. Safe, Martín Darío |
author_sort |
Bonomo, Flavia |
title |
Balancedness of some subclasses of circular-arc graphs |
title_short |
Balancedness of some subclasses of circular-arc graphs |
title_full |
Balancedness of some subclasses of circular-arc graphs |
title_fullStr |
Balancedness of some subclasses of circular-arc graphs |
title_full_unstemmed |
Balancedness of some subclasses of circular-arc graphs |
title_sort |
balancedness of some subclasses of circular-arc graphs |
publishDate |
2010 |
url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15710653_v36_nC_p1121_Bonomo http://hdl.handle.net/20.500.12110/paper_15710653_v36_nC_p1121_Bonomo |
work_keys_str_mv |
AT bonomoflavia balancednessofsomesubclassesofcirculararcgraphs AT duranguillermoa balancednessofsomesubclassesofcirculararcgraphs AT safemartindario balancednessofsomesubclassesofcirculararcgraphs |
_version_ |
1768545946823557120 |