Abstract
AbstractLet m(k) denote the maximum number of edges in a non-extendable, intersecting k-graph. Erdős and Lovász proved that m(k) ≤ kk. For k ≥ 625 we prove m(k) < kk・e−k1/4/6.
Publisher
Cambridge University Press (CUP)
Subject
Applied Mathematics,Computational Theory and Mathematics,Statistics and Probability,Theoretical Computer Science
Reference6 articles.
1. Inequalities for minimal covering sets in set systems of given rank
2. On the minimax theorems of combinatorics (in Hungarian);Lovász;Mat. Lapok,1975
3. [4] Gyárfás, A. (1977) Partition covers and blocking sets in hypergraphs (in Hungarian). Thesis, Studies of Computer and Automation Research Institute of Hungarian Academy of Sciences, 177.
4. Covers in Uniform Intersecting Families and a Counterexample to a Conjecture of Lovász
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