Discussiones Mathematicae Graph Theory 17(2)
(1997) 271-278
DOI: https://doi.org/10.7151/dmgt.1054
FACTOR-CRITICALITY AND MATCHING EXTENSION IN DCT-GRAPHS
Odile Favaron Evelyne Flandrin L.R.I., URA 410 C.N.R.S. Bât. 490, Université de
Paris-Sud |
Zdenk Ryjáek Department of Mathematics, University of West Bohemia |
Abstract
The class of DCT-graphs is a common generalization of the classes of almost claw-free and quasi claw-free graphs. We prove that every even (2p+1)-connected DCT-graph G is p-extendable, i.e., every set of p independent edges of G is contained in a perfect matching of G. This result is obtained as a corollary of a stronger result concerning factor-criticality of DCT-graphs.
Keywords: factor-criticality, matching extension, claw, dominated claw toes.
1991 Mathematics Subject Classification: 05C70.
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