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, F., Durán, G., Grippo, L.N., Safe, M.D.
Formato: JOUR
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Acceso en línea:http://hdl.handle.net/20.500.12110/paper_15710653_v30_nC_p45_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 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.