Fault-Tolerant cycle embedding in the WK-Recursive network

  • Authors:
  • Jung-Sheng Fu

  • Affiliations:
  • Department of Electronics Engineering, National United University, Taiwan

  • Venue:
  • ISPA'04 Proceedings of the Second international conference on Parallel and Distributed Processing and Applications
  • Year:
  • 2004

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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.