On the Non-Commuting Graphs of Group D2n
نویسنده
چکیده
Let G be a abelian finite group. The non-commuting graph Δ(G) of G is defined as follows: The vertex set is G− Z(G), two vertex x and y are joined by an edge whenever xy = yx. Note that if G is abelian, then Δ(G) has no vertices. So, throughout this article let G be a nonabelian finite group. There are many papers on algebraic structure, using the properties of graphs, for instance see [4, 2, 3, 5, 6] . Also there are some papers on non-commuting graphs of a group, for instance see [1, 8]. In this paper we obtain independent number ,vertex chromatic number, clique number and minimum size of a vertex cover of non-commuting graphs on Dihedral group D2n. The graph-theoretic notation and terminology are standard; see [7] for example.
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