Enumeration of intersecting families (Q787169)
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scientific article; zbMATH DE number 3840001
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Enumeration of intersecting families |
scientific article; zbMATH DE number 3840001 |
Statements
Enumeration of intersecting families (English)
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1984
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If \(n=[n/2]\) then the base 2 logarithm of the number of maximal intersecting families on \(m\) elements is asymptotically \(\left(\frac{m-1}{n-1}\right)\). The upper bound is deduced from an estimate by Kleitman-Markowsky on the number of Sperner systems.
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Boolean functions
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maximal intersecting families
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number of Sperner systems
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0.9436225
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0.9332682
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0.9315747
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0.9039135
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0.9013654
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