Italian Domination of Cartesian Products of Directed Cycles

Abstract

An Italian dominating function on a (di)graph G with vertex set V(G) is a function f: V(G) \0, 1, 2\ such that every vertex v ∈ V(G) such that f(v) = 0 has an (in)neighbour assigned 2 or two (in)neighbours assigned 1. We complete the investigation of the Italian domination numbers of Cartesian products of directed cycles.

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