On Bohman’s conjecture related to a sum packing problem of Erdos
On Bohman’s conjecture related to a sum packing problem of Erdos
Motivated by a sum packing problem of ErdÅs, Bohman discussed an extremal geometric problem which seems to have an independent interest. Let $H$ be a hyperplane in $\mathbb R^n$ such that $H\cap \{0,\pm 1\}^n=\{0^n\}$. The problem is to determine \[ f(n)\triangleq \max _H|H\cap \{0,\pm 1,\pm 2\}^n|.\] Bohman (1996) conjectured that …