ON THE SIGNED TOTAL DOMINATION NUMBER OF GENERALIZED PETERSEN GRAPHS P (n, 2)
نویسندگان
چکیده
Let G = (V, E) be a graph. A function f : V → {−1,+1} defined on the vertices of G is a signed total dominating function if the sum of its function values over any open neighborhood is at least one. The signed total domination number of G, γ t (G), is the minimum weight of a signed total dominating function of G. In this paper, we study the signed total domination number of generalized Petersen graphs P (n, 2) and prove that for any integer n ≥ 6, γ t (P (n, 2)) = 2⌊ 3 ⌋ + 2t, where t ≡ n(mod 3) and 0 ≤ t ≤ 2.
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