论文标题

某些定向周期产品的意大利统治数量

The Italian domination numbers of some products of directed cycles

论文作者

Kim, Kijung

论文摘要

带顶点套装$ v(d)$在Digraph $ d $上的意大利统治功能定义为函数$ f:v(d)\ rightarrow \ {0,1,2,2 \} $,使每个顶点$ v \ in v(d)$ f(v)= 0 $ f(v)= 0 $至少有两个$ 1 $ $ $ $ $ $ $或一个$ f。 = 2 $。在本文中,我们确定了某些定向循环产物的意大利统治数的确切值。

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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