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
Keywords: Frankl's conjecture, union-closed sets conjecture
@article{10_2298_PIM0795029M,
author = {Petar Markovi\'c},
title = {An {Attempt} at {Frankl's} {Conjecture}},
journal = {Publications de l'Institut Math\'ematique},
pages = {29 },
year = {2007},
volume = {_N_S_81},
number = {95},
doi = {10.2298/PIM0795029M},
zbl = {1246.05004},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.2298/PIM0795029M/}
}
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
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