Combinatorics and Probability Seminar
Jozsef Balogh
UIUC
Nearly all k-SAT functions are unate
Abstract: 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 tends to infinity. This resolves a conjecture by Bollobas, Brightwell, and Leader. The proof uses among others the container method and the method of (computer-free) flag algebras.
The lecture is summarizing results of a paper of Dingding Dong, Nitya Mani, and Yufei Zhao, and a follow-up paper with additional authors Bernard Lidicky; and the speaker.
Friday September 1, 2023 at 2:00 PM in 636 SEO