In this paper, we focus on the vertex-fault-tolerant cycles embedding on enhanced hypercube, which is an attractive variant of hypercube and is obtained by adding some complementary edges from hypercube. Let Fv be the set of faulty vertices in the n-dimensional enhanced hypercube Qn,k (1 ≤ k ≤ n−1). When |Fv| = 2, we showed that Qn,k − Fv contains a fault-free cycle of every even length from 4 to 2n −4 where n (n ≥ 3) and k have the same parity; and contains a fault-free cycle of every even length from 4 to 2n − 4, simultaneously, contai...
