Notes on factor-criticality, extendibility and independence number

Mathematics – Combinatorics

Scientific paper

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This paper has been published on Ars Combinatoria

Scientific paper

In this paper, we give a sufficient and necessary condition for a
$k$-extendable graph to be $2k$-factor-critical when $k=\nu/4$, and prove some
results on independence numbers in $n$-factor-critical graphs and
$k\frac{1}{2}$-extendable graphs.

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