It is not yet possible to evaluate the chromosome races

Consider a faulty k ary n cube Q(^k_n) in which the number of node faults f(_n) and the number of link faults f(_e) are such that f(_n) + f(_e) 2n 2. We prove that given any two healthy nodes s and e of Q(^k_n), there is a path from s to e of length at least k(^n) 2f(_n) 1 (resp. K(^n) 2f(_n) 2) if the nodes s and e have different (resp.

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