Panconnectivity and edge‐pancyclicity of k‐ary n‐cubes
Sun‐Yuan Hsieh, Tsong‐Jie Lin · Networks · 2009
Abstract In this article, we study some topological properties of k‐ary n‐cubes Q . We show that each edge in Q lies on a cycle of every length from k to kn. We also show that Q 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