The $11$ -element case of Frankl's conjecture

Ivica Bošnjak, Petar Marković

Source record

Source: Crossref

Published: Jul 6, 2008

DOI: 10.37236/812

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Source abstract

In 1979, P. Frankl conjectured that in a finite union-closed family ${\cal F}$ of finite sets, ${\cal F}\neq\{\emptyset\}$ , there has to be an element that belongs to at least half of the sets in ${\cal F}$ . We prove this when $|\bigcup{\cal F}|\leq 11$ .

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