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The hypercube Q n is one of the most popular networks. In this paper, we first prove that the n-dimensional hypercube is 2n−5 conditional fault-bipancyclic. That is, an injured hypercube with up to 2n−5 faulty links has a cycle of length l for every even 4⩽l⩽2 n when each node of the hypercube is incident with at least two healthy links. In addition, if a certain node is incident with...
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