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arXiv · 2007.13132

The Italian domination numbers of some products of directed cycles

Kijung Kim
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Abstract

An Italian dominating function on a digraph $D$ with vertex set $V(D)$ is defined as a function $f : V(D) \rightarrow \{0, 1, 2\}$ such that every vertex $v \in V(D)$ with $f(v) = 0$ has at least two in-neighbors assigned $1$ under $f$ or one in-neighbor $w$ with $f(w) = 2$. In this paper, we determine the exact values of the Italian domination numbers of some products of directed cycles.

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Kijung Kim. 2020-07-26. The Italian domination numbers of some products of directed cycles. https://arxiv.org/abs/2007.13132

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