Random Kneser Graphs and Hypergraphs
نویسندگان
چکیده
منابع مشابه
Random Kneser graphs and hypergraphs
A Kneser graph KGn,k is a graph whose vertices are all k-element subsets of [n], with two vertices connected if and only if the corresponding sets do not intersect. A famous result due to Lovász states that the chromatic number of a Kneser graph KGn,k is equal to n − 2k + 2. In this paper we discuss the chromatic number of random Kneser graphs and hypergraphs. It was studied in two recent paper...
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For xed positive integers r, k and ` with ` < r, and an r-uniform hypergraph H, let κ(H, k, `) denote the number of k-colorings of the set of hyperedges of H for which any two hyperedges in the same color class intersect in at least ` vertices. Consider the function KC(n, r, k, `) = maxH∈Hn κ(H, k, `), where the maximum runs over the family Hn of all r-uniform hypergraphs on n vertices. In this...
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ژورنال
عنوان ژورنال: The Electronic Journal of Combinatorics
سال: 2018
ISSN: 1077-8926
DOI: 10.37236/8005