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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1022, author = {Odile Favaron}, title = {On k-factor-critical graphs}, journal = {Discussiones Mathematicae Graph Theory}, volume = {16}, year = {1996}, pages = {41-51}, zbl = {0865.05061}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1022} }
Odile Favaron. On k-factor-critical graphs. Discussiones Mathematicae Graph Theory, Tome 16 (1996) pp. 41-51. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmgt_1022/
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