论文标题
关于最大相交家庭的大小
On the size of maximal intersecting families
论文作者
论文摘要
我们表明，$ n $ - 均匀的最大相交家族最多具有$ e^{ - n^{0.5+o（1）}}} n^n $。这改善了Frankl最近的束缚。 Alweiss，Lowett，Wu和Zhang的扩散引理在证明中起着重要作用。
We show that an $n$-uniform maximal intersecting family has size at most $e^{-n^{0.5+o(1)}}n^n$. This improves a recent bound by Frankl. The Spread Lemma of Alweiss, Lowett, Wu and Zhang plays an important role in the proof.
