On the "second" Kahn--Kalai Conjecture: cliques, cycles, and trees

Quentin Dubroff, Jeff Kahn, Jinyoung Park

公開日: 2025/10/2

Abstract

We prove a few simple cases of a random graph statement that would imply the "second" Kahn--Kalai Conjecture. Even these cases turn out to be reasonably challenging, and it is hoped that the ideas introduced here may lead to further interest in, and further progress on, this natural problem.

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