Shape of the asymptotic maximum sum-free sets in integer lattice grids

Hong Liu, Guanghui Wang, Laurence Wilkes +1

We determine the shape of all sum-free sets in $\{1,2,\dots ,n{\}}^2$ of size close to the maximum $\frac{3}{5}{n}^2$, solving a problem of Elsholtz and Rackham. We show that all such…