Geodesic
An Attempt at Frankl's Conjecture
Publications de l'Institut Mathématique, _N_S_81 (2007) no. 95, p. 29 .

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In 1979 Frankl conjectured that in a finite union-closed family $\F$ of finite sets, $\F\neq\{\emptyset\}$ there has to be an element that belongs to at least half of the sets in $\F$. We prove this when $|\bigcup{\mathcal F}|\leq 10$.
DOI : 10.2298/PIM0795029M
Classification : 05D05 05A05, 04A20
Keywords: Frankl's conjecture, union-closed sets conjecture 
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     journal = {Publications de l'Institut Math\'ematique},
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Petar Marković. An Attempt at Frankl's Conjecture. Publications de l'Institut Mathématique, _N_S_81 (2007) no. 95, p. 29 . doi : 10.2298/PIM0795029M. http://geodesic.mathdoc.fr/articles/10.2298/PIM0795029M/

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