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Calculus and Beyond Homework Help
Cubic graph containing a 1-factor
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[QUOTE="Robb, post: 6258953, member: 571890"] 1-factor is the same as a perfect matching-A graph G has a perfect matching iff for ##S \in V(G), k_o(G-S) \leq |S|##. If G has odd order, then G has no 1-factor. A 1-factor is a 1-regular sub-graph of G. Also, every bridgeless cubic graph contains a 1-factor as well as every cubic graph with at most two bridges contains a 1-factor. [/QUOTE]
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Cubic graph containing a 1-factor
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