论文标题

平均重叠密度较小的联盟锁定家庭

Union-closed families with small average overlap densities

论文作者

Ellis, David

论文摘要

在这篇非常简短的论文中,我们指出,$ \ {1,2,\ ldots,n \} $的子集的平均重叠密度的平均重叠密度可能小如$θ((\ log log \ log \ log \ log \ f}整数$ n $。

In this very short paper, we point out that the average overlap density of a union-closed family $\mathcal{F}$ of subsets of $\{1,2,\ldots,n\}$ may be as small as $Θ((\log \log |\mathcal{F}|)/(\log |\mathcal{F}|))$, for infinitely many positive integers $n$.

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