A quantitative improvement on the hypergraph Balog-Szemer\'{e}di-Gowers theorem
Combinatorics
2025-03-27 v2 Number Theory
Abstract
In this note, we obtain a quantitative improvement on the hypergraph variant of the Balog-Szemer\'{e}di-Gowers theorem due to Sudakov, Szemer\'{e}di, and Vu [Duke Math. J.129.1 (2005): 129--155]. Additionally, we prove the hypergraph variant of the ``almost all'' version of Balog-Szemer\'{e}di-Gowers theorem.
Cite
@article{arxiv.2501.06131,
title = {A quantitative improvement on the hypergraph Balog-Szemer\'{e}di-Gowers theorem},
author = {Hyunwoo Lee},
journal= {arXiv preprint arXiv:2501.06131},
year = {2025}
}
Comments
14 pages