DMGT

ISSN 1234-3099 (print version)

ISSN 2083-5892 (electronic version)

https://doi.org/10.7151/dmgt

Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory

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Discussiones Mathematicae Graph Theory 16(1) (1996) 41-51
DOI: https://doi.org/10.7151/dmgt.1022

ON k-FACTOR-CRITICAL GRAPHS

Odile Favaron

LRI, Bât. 490, Université de Paris-Sud
91405 Orsay cedex, France

Abstract

A graph is said to be k-factor-critical if the removal of any set of k vertices results in a graph with a perfect matching. We study some properties of k-factor-critical graphs and show that many results on q-extendable graphs can be improved using this concept.

Keywords: matching, extendable, factor.

1991 Mathematics Subject Classification: 05C70.

References

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