The Polychromatic Number of Small Subsets of the Integers Modulo $n$

Emelie Curl, John Goldwasser, Joe Sampson +1

If $S$ is a subset of an abelian group $G$, the polychromatic number of $S$ in $G$ is the largest integer $k$ so that there is a $k-$coloring of the elements of $G$ such that every…