## Abstract It is well known that every bipartite graph with vertex classes of size __n__ whose minimum degree is at least __n__/2 contains a perfect matching. We prove an analog of this result for hypergraphs. We also prove several related results that guarantee the existence of almost perfect mat
β¦ LIBER β¦
Perfect Matchings andK43-Tilings in Hypergraphs of Large Codegree
β Scribed by Oleg Pikhurko
- Book ID
- 106047731
- Publisher
- Springer Japan
- Year
- 2008
- Tongue
- English
- Weight
- 204 KB
- Volume
- 24
- Category
- Article
- ISSN
- 0911-0119
No coin nor oath required. For personal study only.
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Let G be a plane bipartite graph which admits a perfect matching and with distinguished faces called holes. Let MG denote the perfect matchings graph: its vertices are the perfect matchings of G, two of them being joined by an edge, if and only if they di er only on an alternating cycle bounding a f