Strongly Menger-edge-connectedness of DCell networks.

In the present paper, we focus on the study of the strongly Menger-edge-connectivity of a server-centric DCN DCell. Let D m , n be the m -dimensional DCell with n -port switches for integers m ≥ 0 and n ≥ 2. Given integers k , m and n. We prove D m , n is ((k − 1) m + (k − 1) n − k 2 + 1) -strongly Menger-edge-connected of order k − 1 for 2 ≤ k < m and n > m ≥ 2 or 2 ≤ k ≤ n and m ≥ n ≥ 2 and D m , n is (m n − m − n + 1) -strongly Menger-edge-connected of order m − 1 for n > m ≥ 2. Also, we show that each of the above results is optimal by using examples. [ABSTRACT FROM AUTHOR]