论文标题

几乎所有$ k $ -sat功能都是联合国

Nearly all $k$-SAT functions are unate

论文作者

Balogh, József, Dong, Dingding, Lidický, Bernard, Mani, Nitya, Zhao, Yufei

论文摘要

我们证明,对于任何固定的正整数$ k $,AS $ n \ to \ infty $。这解决了2003年Bollobás,Brightwell和Leader的猜想。

We prove that $1-o(1)$ fraction of all $k$-SAT functions on $n$ Boolean variables are unate (i.e., monotone after first negating some variables), for any fixed positive integer $k$ and as $n \to \infty$. This resolves a conjecture by Bollobás, Brightwell, and Leader from 2003.

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