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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Autores principales: Bonomo, Flavia, Durán, Guillermo A., Grippo, Luciano Norberto, Safe, Martín Darío
Publicado: 2009
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_03649024_v61_n4_p289_Bonomo
http://hdl.handle.net/20.500.12110/paper_03649024_v61_n4_p289_Bonomo
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Sumario: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 subgraphswhen the graph belongs to any of the following classes: P 4-free graphs, paw-free graphs, claw-free chordal graphs and diamond-free graphs. © 2009 Wiley Periodicals, Inc.