English

On the size-Ramsey number of grids

Combinatorics 2023-04-25 v2

Abstract

We show that the size-Ramsey number of the n×n\sqrt{n} \times \sqrt{n} grid graph is O(n5/4)O(n^{5/4}), improving a previous bound of n3/2+o(1)n^{3/2 + o(1)} by Clemens, Miralaei, Reding, Schacht, and Taraz.

Keywords

Cite

@article{arxiv.2202.01654,
  title  = {On the size-Ramsey number of grids},
  author = {David Conlon and Rajko Nenadov and Miloš Trujić},
  journal= {arXiv preprint arXiv:2202.01654},
  year   = {2023}
}

Comments

8 pages, 1 figure