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k-Pancyclicity of k-ary n-Cube Networks under the Conditional Fault Model

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2 Author(s)
Jing Li ; Taiyuan University of Science and Technology, Taiyuan ; Di Liu

The k-ary n-cube is one of the most popular interconnection networks for parallel and distributed systems. We prove that a k-ary n-cube with at most in 5 faulty edges but where every vertex is incident with at least two healthy edges is k-pancyclic and bipancyclic for n ≥ 3 and odd k ≥ 3.

Published in:

IEEE Transactions on Parallel and Distributed Systems  (Volume:23 ,  Issue: 6 )