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Research Article Open access CC BY 4.0

The Domination Number of Pm x Pn

Ramy Shaheen, Mohammad Assaad

Journal of Advances in Mathematics and Computer Science · pp. 1–11 · Published 26 Jan 2017

10.9734/BJMCS/2017/31051

Abstract

A mixed graph GM(V, E, A) is a graph containing unoriented edges (set E) as well as oriented edges (set A), referred to as arcs. In this paper we calculate the domination number of the Cartesian product of a path Pm with directed path  (mixed-grid graph (  ) for 8 ≤ m ≤ 10 and arbitrary n.

Graph directed graph Cartesian product path directed path mixed graph mixed-grid graph dominating set domination number

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