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

Fuente: arXiv
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Hauptverfasser: Dubroff, Quentin, Kahn, Jeff, Park, Jinyoung
Format: Preprint
Veröffentlicht: 2025
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author Dubroff, Quentin
Kahn, Jeff
Park, Jinyoung
author_facet Dubroff, Quentin
Kahn, Jeff
Park, Jinyoung
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2510_02005
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle On the "second" Kahn--Kalai Conjecture: cliques, cycles, and trees
Dubroff, Quentin
Kahn, Jeff
Park, Jinyoung
Combinatorics
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.
title On the "second" Kahn--Kalai Conjecture: cliques, cycles, and trees
topic Combinatorics
url https://arxiv.org/abs/2510.02005