Hypergraphs with high chromatic number
β Scribed by Noga Alon
- Book ID
- 110567499
- Publisher
- Springer Japan
- Year
- 1985
- Tongue
- English
- Weight
- 123 KB
- Volume
- 1
- Category
- Article
- ISSN
- 0911-0119
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π SIMILAR VOLUMES
Oriented hypergraphs are defined, so that it is possible to genc&ze popositions characterizing the chromatic number and the stability number of a graph by means of crientations i!tnd elementary paths, to the strong and weak chromatic number and the strong and we& stability number of a hypergraph.
For a pair of integers 1 F β₯r, the β₯-chromatic number of an r-uniform Ε½ . hypergraph H s V, E is the minimal k, for which there exists a partition of V into subsets < < T, . . . , T such that e l T F β₯ for every e g E. In this paper we determine the asymptotic 1 k i Ε½ . behavior of the β₯-chromatic n