David Conlon, Rajko Nenadov, Miloš Trujić·2022-02-04·via math.CO updates on arXiv.org
We show that the size-Ramsey number of the $\sqrt{n} \times \sqrt{n}$ grid graph is $O(n^{5/4})$, improving a previous bound of $n^{3/2 + o(1)}$ by Clemens, Miralaei, Reding, Schacht, and Taraz.