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arXiv · 2007.14468

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

Emelie Curl·John Goldwasser·Joe Sampson·Michael Young
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Abstract

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 translate of $S$ in $G$ gets all $k$ colors. We determine the polychromatic number of all sets of size 2 or 3 in the group of integers mod n.

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Emelie Curl, John Goldwasser, Joe Sampson, Michael Young. 2020-07-28. The Polychromatic Number of Small Subsets of the Integers Modulo $n$. https://arxiv.org/abs/2007.14468

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