Zentralblatt MATH
Publications of (and about) Paul Erdös
Zbl.No: 529.05044
Autor: Erdös, Paul; Hindman, N.
Title: Enumeration of intersecting families. (In English)
Source: Discrete Math. 48, 61-65 (1984).
Review: If n = [n/2] then the base 2 logarithm of the number of maximal intersecting families on m elements is asymptotically (\frac{m-1}{n-1}). The upper bound is deduced from an estimate by Kleitman-Markowsky on the number of Sperner systems.
Reviewer: P.Komjaáth
Classif.: * 05C65 Hypergraphs
05A05 Combinatorial choice problems
05C35 Extremal problems (graph theory)
Keywords: Boolean functions; maximal intersecting families; number of Sperner systems
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