On partitioning of hypergraphs
β Scribed by Sergei L. Bezrukov; Roberto Battiti
- Book ID
- 108113732
- Publisher
- Elsevier Science
- Year
- 2007
- Tongue
- English
- Weight
- 648 KB
- Volume
- 307
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
We prove the asymptotically best possible result that, for every integer k 2, every 3-uniform graph with m edges has a vertex-partition into k sets such that each set contains at most (1+o(1)) mΓk 3 edges. We also consider related problems and conjecture a more general result. 1997 Academic Press
A transversal of a hypergraph is a set of vertices meeting all the hyperedges. A k-fold transversal 52 of a hypergraph is a set of vertices such that every hyperedge has at least k elements of R. In this paper, we prove that a k-fold transversal of a balanced hypergraph can be expressed as a union o