New Families of Mean Graphs
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چکیده
Let G(V,E) be a graph with p vertices and q edges. A vertex labeling of G is an assignment f : V (G) → {1, 2, 3, . . . , p + q} be an injection. For a vertex labeling f, the induced Smarandachely edge m-labeling f S for an edge e = uv, an integer m ≥ 2 is defined by f ∗ S(e) = ⌈ f(u) + f(v) m ⌉ . Then f is called a Smarandachely super m-mean labeling if f(V (G))∪ {f(e) : e ∈ E(G)} = {1, 2, 3, . . . , p+ q}. Particularly, in the case of m = 2, we know that f ∗(e) =
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تاریخ انتشار 2013