Hypergraph coverings and local colorings
โ Scribed by Yair Caro; Zsolt Tuza
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 474 KB
- Volume
- 52
- Category
- Article
- ISSN
- 0095-8956
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The Lov~sz Local Lemma yields sufficient conditions for a hypergraph to be 2-colourable, that is, to have a colouring of the points blue or red so that no edge is monochromatic. The method yields a general theorem, which shows for example that, if H is a hypergraph in which each edge contains at lea
Consider a graph G and a positive integer k. The maximum k-coloring problem is to color a maximum number of vertices using k colors, such that no two adjacent vertices have the same color. The maximum k-covering problem is to find k disjoint cliques covering a maximum number of vertices. The present
## Abstract The notion of a split coloring of a complete graph was introduced by Erdลs and Gyรกrfรกs [7] as a generalization of split graphs. In this work, we offer an alternate interpretation by comparing such a coloring to the classical Ramsey coloring problem via a twoโround game played against an