The 11-element case of Frankl's conjecture (Q1010815)
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scientific article; zbMATH DE number 5540993
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The 11-element case of Frankl's conjecture |
scientific article; zbMATH DE number 5540993 |
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The 11-element case of Frankl's conjecture (English)
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7 April 2009
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Summary: In 1979, \textit{P.Frankl} [Discrete Math. 26, 111--118 (1979; Zbl 0397.05004)] conjectured that in a finite union-closed family \({\mathcal F}\) of finite sets, \({\mathcal F}\neq\{\emptyset\}\), there has to be an element that belongs to at least half of the sets in \({\mathcal F}\). We prove this when \(|\bigcup{\mathcal F}|\leq 11\).
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Frankl's conjecture
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union closed family of finite sets
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