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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