论文标题
顶点添加对意大利统治数的影响
Impact of Vertex Addition on Italian Domination Number
论文作者
论文摘要
图G的意大利主导函数(IDF)是一个函数$ f:v(g)\ rightarrow \ {0,1,2 \} $,可满足每一个$ v \ in v(g)$ in $ f(v)= 0,n(v)= 0的条件, \ sum_ {v \ in V(g)} f(v)$和意大利统治号码,$γ_i(g)$是IDF的最小重量。在本文中,我们研究了电晕运营商的影响以及双胞胎对意大利统治数的影响。
An Italian dominating function (IDF), of a graph G is a function $ f: V(G) \rightarrow \{0,1,2\} $ satisfying the condition that for every $ v\in V(G) $ with $ f(v) = 0, \sum_{ u\in N(v)} f(u) \geq 2. $ The weight of an IDF on $G$ is the sum $ f(V)= \sum_{v\in V(G)}f(v) $ and Italian domination number, $ γ_I(G) $ is the minimum weight of an IDF. In this paper, we study the impact of corona operator and addition of twins on Italian domination number.