Abstract
Recently, the WK-recursive network has received much attention due to its many favorable properties such as a high degree of scalability. By K(d,t), we denote the WK-recursive network of level t, each of whose basic modules is a d-node complete graph, where d > 1 and t ≥ 1. In this paper, we construct fault-free Hamiltonian cycles in K(d, t) with at most d – 3 faulty nodes, where d ≥ 4. Since the connectivity of K(d, t) is d – 1, the result is optimal.
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Fu, JS. (2004). Fault-Tolerant Cycle Embedding in the WK-Recursive Network. In: Cao, J., Yang, L.T., Guo, M., Lau, F. (eds) Parallel and Distributed Processing and Applications. ISPA 2004. Lecture Notes in Computer Science, vol 3358. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-30566-8_16
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DOI: https://doi.org/10.1007/978-3-540-30566-8_16
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