β-Perfect Graphs

The class ofβ-perfect graphs is introduced. We draw a number of parallels between these graphs and perfect graphs. We also introduce some special classes ofβ-perfect graphs. Finally, we show that the greedy algorithm can be used to colour a graphGwith no even chordless cycles using at most 2(χ(G)−1)...

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Veröffentlicht in:	Journal of combinatorial theory. Series B 1996-05, Vol.67 (1), p.1-11
Hauptverfasser:	Markossian, S.E., Gasparian, G.S., Reed, B.A.
Format:	Artikel
Sprache:	eng
Online-Zugang:	Volltext
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Beschreibung
Zusammenfassung:	The class ofβ-perfect graphs is introduced. We draw a number of parallels between these graphs and perfect graphs. We also introduce some special classes ofβ-perfect graphs. Finally, we show that the greedy algorithm can be used to colour a graphGwith no even chordless cycles using at most 2(χ(G)−1) colours.
ISSN:	0095-8956 1096-0902
DOI:	10.1006/jctb.1996.0030