论文标题

使用熵方法,联合关闭的集合的更好界限

Better bounds for the union-closed sets conjecture using the entropy approach

论文作者

Cambie, Stijn

论文摘要

我们改善了最著名的常数$ \ frac {3- \ sqrt 5} {2} $,通过使用Sawin建议的依赖样本和吉尔默(Gilmer)提出的此问题的熵方法,已知联盟封闭的猜想是正确的。同时,我们专注于这种熵方法及其边界背后的直觉。

We improve the best known constant $\frac{3-\sqrt 5}{2}$ for which the union-closed conjecture is known to be true, by using dependent samples as suggested by Sawin and the entropy approach on this problem initiated by Gilmer. Meanwhile, we focus on the intuition behind this entropy approach and its boundaries.

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