We give a short proof of the following basic fact in matching theory: in a bipartite graph the maximum size of a matching equals the minimum size of a node cover.
A Short Proof of Mader's S-Paths Theorem
β Scribed by Alexander Schrijver
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 78 KB
- Volume
- 82
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
β¦ Synopsis
For an undirected graph G=(V, E) and a collection S of disjoint subsets of V, an S-path is a path connecting different sets in S. We give a short proof of Mader's min-max theorem for the maximum number of disjoint S-paths.
2001
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