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Notes on factor-criticality, extendibility and independence number
Notes on factor-criticality independence number
2010/11/19
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 ...
Equivalence between Extendibility and Factor-Criticality
Extendibility Factor-Criticality
2010/11/19
In this paper, we show that if $k\geq (\nu+2)/4$, where $\nu$ denotes the order of a graph, a non-bipartite graph $G$ is $k$-extendable if and only if it is $2k$-factor-critical. If $k\geq (\nu-3)/4$...