Fractional Vs. Expectation Thresholds: Random Support Case
Combinatorics
2025-10-22 v1 Probability
Abstract
A conjecture of Talagrand (2010) states that the so-called expectation and fractional expectation thresholds are always within at most some constant factor from each other. We prove for the unweighted case that this is a.a.s. true when the support is a random hypergraph.
Cite
@article{arxiv.2510.18441,
title = {Fractional Vs. Expectation Thresholds: Random Support Case},
author = {Thomas Fischer and Yury Person},
journal= {arXiv preprint arXiv:2510.18441},
year = {2025}
}
Comments
8 pages, 0 figures