Haviland and Thomason and Chung and Graham were the first to investigate systematically some properties of quasi-random hypergraphs. In particular, in a series of articles, Chung and Graham considered several quite disparate properties of random-like hypergraphs of density 1/2 and proved that they a
Quasi-Random Hypergraphs
β Scribed by F. R. K. Chung and R. L. Graham
- Book ID
- 123637451
- Publisher
- National Academy of Sciences
- Year
- 1989
- Tongue
- English
- Weight
- 469 KB
- Volume
- 86
- Category
- Article
- ISSN
- 0027-8424
- DOI
- 10.2307/34830
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π SIMILAR VOLUMES
The choice number of a hypergraph H=(V, E) is the least integer s for which, for every family of color lists S=[S(v): v # V], satisfying |S(v)|=s for every v # V, there exists a choice function f so that f (v) # S(v) for every v # V, and no edge of H is monochromatic under f. In this paper we consid
Let K (k) (n, p) be the random k-uniform hypergraph obtained by independent inclusion of each of the ( n k ) k-tuples with probability p. For an arbitrary k-uniform hypergraph G and every integer r we find the threshold for the property that every r-coloring of the vertices of K (k) (n, p) results i