Path embeddings in faulty 3-ary n-cubes

  • Authors:
  • Shiying Wang;Shangwei Lin

  • Affiliations:
  • School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, People's Republic of China;School of Mathematical Sciences, Shanxi University, Taiyuan, Shanxi 030006, People's Republic of China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2010

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Abstract

The class of k-ary n-cubes represents the most commonly used interconnection topology for distributed-memory parallel systems. In this paper, we study the problem of embedding paths of various lengths into faulty 3-ary n-cubes and prove that a faulty 3-ary n-cube with f=