Panconnectivity and edge-pancyclicity of k-ary n-cubes

In this article, we study some topological properties of k-ary n-cubes Q nk . We show that each edge in Q nk lies on a cycle of every length from k to kn. We also show that Q nk is both bipanconnected and edge-bipancyclic, where n ≥ 2 is an integer and k ≥ 2 is an even integer. © 2009 Wiley Periodicals, Inc. NETWORKS 2009 An extended abstract of this article under the title “Embedding Cycles and Paths in a k-Ary n-Cube” appeared in the 13th International Conference on Parallel and Distributed Systems (ICPADS), 2007.

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