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- W2950317895 abstract "We show that for any set $Ssubseteq mathbb{Z}$, $|S|=4$ there exists a 3-coloring of $mathbb{Z}$ in which every translate of $S$ receives all three colors. This implies that $S$ has a codensity of at most $1/3$, proving a conjecture of Newman [D. J. Newman, Complements of finite sets of integers, Michigan Math. J. 14 (1967) 481--486]. We also consider related questions in $mathbb{Z}^d$, $dgeq 2$." @default.
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- W2950317895 date "2017-03-31" @default.
- W2950317895 modified "2023-09-27" @default.
- W2950317895 title "Polychromatic Colorings on the Integers" @default.
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