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Henning Bruhn, Pierre Charbit, Oliver Schaudt, Jan Arne Telle, The graph formulation of the union-closed sets conjecture, European J · 2015

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Frequent elements in union-closed set families

math.CO · 2024-12-05 · reject · novelty 8.0

The k-th most frequent element in any union-closed set family appears in at least 1/(2^{k-1}+1) of the sets, with equality only for the near-k-cube families.

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  • Frequent elements in union-closed set families math.CO · 2024-12-05 · reject · none · ref 5

    The k-th most frequent element in any union-closed set family appears in at least 1/(2^{k-1}+1) of the sets, with equality only for the near-k-cube families.