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Given a set F of faulty edges or faulty vertices in the hypercube Qn and a pair of vertices u, v, is there a hamiltonian cycle or a hamiltonian path between u and v in Qn −F? We...
We investigate hamiltonian properties of Pm × Cn, m ≥ 2 and even n ≥ 4, which is bipartite, in the presence of faulty vertices and/or edges. We show that Pm×Cn with n even is...