Polynomial time recognition of unit circular-arc graphs
We present an efficient algorithm for recognizing unit circular-arc (UCA) graphs, based on a characterization theorem for UCA graphs proved by Tucker in the seventies. Given a proper circular-arc (PCA) graph G, the algorithm starts from a PCA model for G, removes all its circle-covering pairs of arc...
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todo:paper_01966774_v58_n1_p67_Duran2023-10-03T15:09:48Z Polynomial time recognition of unit circular-arc graphs Durán, G. Gravano, A. McConnell, R.M. Spinrad, J. Tucker, A. Circular-arc graphs Graph algorithms Polynomial recognition Proper circular-arc graphs Unit circular-arc graphs Approximation theory Graph theory Mathematical models Polynomials Principal component analysis Theorem proving Circular-arc graphs Graph algorithms Polynomial recognition Proper circular-arc graphs Unit circular-arc graphs Algorithms We present an efficient algorithm for recognizing unit circular-arc (UCA) graphs, based on a characterization theorem for UCA graphs proved by Tucker in the seventies. Given a proper circular-arc (PCA) graph G, the algorithm starts from a PCA model for G, removes all its circle-covering pairs of arcs and determines whether G is a UCA graph. We also give an O(N) time bound for Tucker's 3/2-approximation algorithm for coloring circular-arc graphs with N vertices, when a circular-arc model is given. © 2004 Elsevier Inc. All rights reserved. Fil:Durán, G. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Gravano, A. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_01966774_v58_n1_p67_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 |
Circular-arc graphs Graph algorithms Polynomial recognition Proper circular-arc graphs Unit circular-arc graphs Approximation theory Graph theory Mathematical models Polynomials Principal component analysis Theorem proving Circular-arc graphs Graph algorithms Polynomial recognition Proper circular-arc graphs Unit circular-arc graphs Algorithms |
spellingShingle |
Circular-arc graphs Graph algorithms Polynomial recognition Proper circular-arc graphs Unit circular-arc graphs Approximation theory Graph theory Mathematical models Polynomials Principal component analysis Theorem proving Circular-arc graphs Graph algorithms Polynomial recognition Proper circular-arc graphs Unit circular-arc graphs Algorithms Durán, G. Gravano, A. McConnell, R.M. Spinrad, J. Tucker, A. Polynomial time recognition of unit circular-arc graphs |
topic_facet |
Circular-arc graphs Graph algorithms Polynomial recognition Proper circular-arc graphs Unit circular-arc graphs Approximation theory Graph theory Mathematical models Polynomials Principal component analysis Theorem proving Circular-arc graphs Graph algorithms Polynomial recognition Proper circular-arc graphs Unit circular-arc graphs Algorithms |
description |
We present an efficient algorithm for recognizing unit circular-arc (UCA) graphs, based on a characterization theorem for UCA graphs proved by Tucker in the seventies. Given a proper circular-arc (PCA) graph G, the algorithm starts from a PCA model for G, removes all its circle-covering pairs of arcs and determines whether G is a UCA graph. We also give an O(N) time bound for Tucker's 3/2-approximation algorithm for coloring circular-arc graphs with N vertices, when a circular-arc model is given. © 2004 Elsevier Inc. All rights reserved. |
format |
JOUR |
author |
Durán, G. Gravano, A. McConnell, R.M. Spinrad, J. Tucker, A. |
author_facet |
Durán, G. Gravano, A. McConnell, R.M. Spinrad, J. Tucker, A. |
author_sort |
Durán, G. |
title |
Polynomial time recognition of unit circular-arc graphs |
title_short |
Polynomial time recognition of unit circular-arc graphs |
title_full |
Polynomial time recognition of unit circular-arc graphs |
title_fullStr |
Polynomial time recognition of unit circular-arc graphs |
title_full_unstemmed |
Polynomial time recognition of unit circular-arc graphs |
title_sort |
polynomial time recognition of unit circular-arc graphs |
url |
http://hdl.handle.net/20.500.12110/paper_01966774_v58_n1_p67_Duran |
work_keys_str_mv |
AT durang polynomialtimerecognitionofunitcirculararcgraphs AT gravanoa polynomialtimerecognitionofunitcirculararcgraphs AT mcconnellrm polynomialtimerecognitionofunitcirculararcgraphs AT spinradj polynomialtimerecognitionofunitcirculararcgraphs AT tuckera polynomialtimerecognitionofunitcirculararcgraphs |
_version_ |
1782030565333008384 |