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Results tagged with bipartite-matching
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user 19
13
votes
Accepted
Size of Maximum Matching in Bipartite Graph
Given a bipartite graph $G = (U,V,E)$ and a maximum matching $M$ of $G$, via Konig's Theorem we see that $|M| = |C|$ where $C$ is a minimum vertex cover for $G$. Your statement is merely an upper boun …
- 3,897
2
votes
Assignment problem with no cost
Let $P$ be the set of people and $\mathcal{S}$ be the modified multi-set of subsets. By checking if an $\mathcal{S}$-saturated matching into $P$ exists (i.e. Hall's condition) you are indeed finding a …
- 3,897