2-Matchings and 2-covers of hypergraphs
✍ Scribed by L. Lovász
- Publisher
- Akadmiai Kiad
- Year
- 1975
- Tongue
- English
- Weight
- 754 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1588-2632
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📜 SIMILAR VOLUMES
## 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
A graph G is symmetric with respect to a functional Fc(P) defined on the set of all the probability distributions on its vertex set if the distribution P\* maximizing Fa(P) is uniform on V(G). We show that the class of graphs which are symmetric for the functional appearing in the capacity formula o
Burr recently proved [3] that for positive integers m , , m 2 , . . , , m, and any graph G we have x(G) 5 &, if and only if G can be expressed as the edge disjoint union of subgraphs F, satisfying x(F,) 5 m,. This theorem is generalized to hypergraphs. By suitable interpretations the generalization