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Embedding long paths in k-ary n-cubes with faulty nodes and links (2008)
Journal Article
Stewart, I., & Xiang, Y. (2008). Embedding long paths in k-ary n-cubes with faulty nodes and links. IEEE Transactions on Parallel and Distributed Systems, 19(8), 1071-1085. https://doi.org/10.1109/tpds.2007.70787

Let $k \geq 4$ be even and let $n \geq 2$. Consider a faulty k-ary n-cube $Q_n^k$ in which the number of node faults $f_n$ and the number of link faults $f_e$ are such that $f_n + f_e \leq 2n-2$. We prove that given any two healthy nodes s and e of $... Read More about Embedding long paths in k-ary n-cubes with faulty nodes and links.