Almost $k$-union closed set systems
Combinatorics
2023-02-27 v1
Abstract
In a recent breakthrough, Gilmer proved the union closed conjecture up to a constant factor. Using Gilmer's method and additional ideas, Chase and Lovett proved an optimal result for almost union-closed set systems. Here that result is extended to higher order unions.
Cite
@article{arxiv.2302.12276,
title = {Almost $k$-union closed set systems},
author = {Raphael Yuster},
journal= {arXiv preprint arXiv:2302.12276},
year = {2023}
}