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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