Chromatic number of random Kneser hypergraphs
نویسندگان
چکیده
منابع مشابه
On the Chromatic Number of Kneser Hypergraphs
We give a simple and elementary proof of Kř́ıž’s lower bound on the chromatic number of the Kneser r-hypergraph of a set system S.
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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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The problem of computing the chromatic number of Kneser hypergraphs has been extensively studied over the last 40 years and the fractional version of the chromatic number of Kneser hypergraphs is only solved for particular cases. The (p, q)-extremal problem consists in finding the maximum number of edges on a k-uniform hypergraph H with n vertices such that among any p edges some q of them have...
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ژورنال
عنوان ژورنال: Journal of Combinatorial Theory, Series A
سال: 2018
ISSN: 0097-3165
DOI: 10.1016/j.jcta.2017.08.010