A vertex subset F. V(G) is a cyclic vertex-cut of a connected graph G if G - F is disconnected and at least two of its components contain cycles. +e cyclic vertex-connectivity. c(G) is denoted as the cardinality of a minimum cyclic vertex-cut. In this paper, we show that the cyclic vertex-connectivity of the (n, k)-star network Sn, k is. c(S n,k). n + 2k - 5 for any integer n = 4 and k = 2.
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