On the Domination Number of Cartesian Products of Two Directed Paths

نویسندگان

  • Ramy Shaheen
  • R. Shaheen
چکیده

Let D = (V, A) be a directed graph of order p. A subset S of the vertex set V(D) is a dominating set of D if for each vertex v∈D – S there exists a vertex u∈S such that (u, v) is an arc of D. The domination number of D, γ(D), is the order of a smallest dominating set of D. In this paper we calculate the domination number of the cartesian product of two directed paths Pm and Pn for general m and n.

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تاریخ انتشار 2012