ABSTRACT
In this paper, A set S ⊆ V is a dominating set of a graph G if for every v ∈ V, either v ∈ S or v ∈ N(u) for some vertex u ∈ S where N(u) represents neighbourhood of u. The minimum cardinality of a dominating set in a graph G is called the domination number of G, and is denoted by γ(G). A subset S ⊆ V in a graph G = (V, E) is a total [1, 2]-set if, for every vertex v ∈ V,1 ≤ |N(v) ∩S| ≤ 2. The minimum cardinality of a total [1, 2]-set of G is called the total [1, 2] domination number, denoted by γ t[1,2](G). The hub of this article is a search of the behaviour of Application of dominating sets, total dominating sets in wireless sensor networks.
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