Impact of Vertex Addition on Italian Domination Number
Abstract
An Italian dominating function (IDF), of a graph G is a function f: V(G) → \0,1,2\ satisfying the condition that for every v∈ V(G) with f(v) = 0, Σ u∈ N(v) f(u) ≥ 2. The weight of an IDF on G is the sum f(V)= Σv∈ V(G)f(v) and Italian domination number, γI(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.
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