Abstract

AbstractWe determine that the connectivity and the edge‐connectivity of the Cartesian product G1 × G2 of two strongly connected and finite digraphs G1 and G2 are equal to min{n1κ2,n2κ1,δ + δ, δ + δ} and min{n1λ2,n2λ1, δ + δ, δ + δ}, respectively, where ni, κi, λi, δ, δ are the order, the connectivity, the edge‐connectivity, the minimum out‐degree and the minimum in‐degree of Gi, respectively, for i = 1, 2. © 2008 Wiley Periodicals, Inc. NETWORKS, 2008

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