Independent Complementary Distance Pattern Uniform Graphs

نویسنده

  • Beena Koshy
چکیده

A graph G = (V,E) is called to be Smarandachely uniform k-graph for an integer k ≥ 1 if there exists M1,M2, · · · ,Mk ⊂ V (G) such that fMi(u) = {d(u, v) : v ∈ Mi} for ∀u ∈ V (G)−Mi is independent of the choice of u ∈ V (G)−Mi and integer i, 1 ≤ i ≤ k. Each such set Mi, 1 ≤ i ≤ k is called a CDPU set [6, 7]. Particularly, for k = 1, a Smarandachely uniform 1-graph is abbreviated to a complementary distance pattern uniform graph, i.e., CDPU graphs. This paper studies independent CDPU graphs.

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تاریخ انتشار 2013