A near-exponential improvement of a bound of Erdős and Lovász on maximal intersecting families

Author:

Frankl Peter

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) < kkek1/4/6.

Publisher

Cambridge University Press (CUP)

Subject

Applied Mathematics,Computational Theory and Mathematics,Statistics and Probability,Theoretical Computer Science

Reference6 articles.

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