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The k-ary n-cube, denoted by Qnk, has been one of the most common interconnection networks. In this paper, we study some topological properties of Qnk. Given two arbitrary distinct nodes x and y in Qnk, we show that there exists an x-y path of every length from [k/2]n to kn - 1, where n ges 2 is an integer and k ges 3 is an odd integer. Based on this result, we further show that each edge in Qn...
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