Improved Bound for the Gerver-Ramsey Collinearity Problem

Thomas F. Lidbetter

Let $S$ be a finite subset of ${\mathbb{Z}}^n$. A vector sequence $({\mathbf{z}}_i)$ is an $S$-walk if and only if ${\mathbf{z}}_{i+1}-{\mathbf{z}}_i$ is an element of $S$ for all $i$. G…