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arxiv: math/0701018 · v2 · submitted 2006-12-31 · 🧮 math.CO

Perfect dominating sets in the Cartesian products of prime cycles

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keywords cartesiandominatingprimecopiescyclecyclesminimumperfect
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We study the structure of a minimum dominating set of $C_{2n+1}^n$, the Cartesian product of $n$ copies of the cycle of size $2n+1$, where $2n+1$ is a prime.

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