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$\begingroup$ If you're covering matching theory, I would add König's theorem (in a bipartite graph max matching + max independent set = #vertices), the theorem that a regular bipartite graph has a perfect matching, and Petersen's theorem that a bridgeless cubic graph has a perfect matching (e.g. a triangulated 2-manifold has a matching of its triangles). But I have to admit that last week in the matching part of my graph algorithms class I covered only König and Gale–Shapley because it's about graph algorithms not graph theory and I needed the remaining lecture time to cover the Hopcroft–Karp algorithm. $\endgroup$

David Eppstein
– David Eppstein

2011-05-11 04:29:29 +00:00
Commented May 11, 2011 at 4:29

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