On Lattice Diameter Segments and A Discrete Borsuk Partition Problem

Anouk E. Brose, Jesús A. De Loera, Gyivan Lopez-Campos +1

The lattice diameter of a bounded set $S\subset {\mathbb{R}}^d$ measures the maximal number of lattice points in a segment whose endpoints are lattice points in $S$. Such a segment…