Fault-tolerant cycle embedding in the hypercube with more both faulty vertices and faulty edges

  • Authors:
  • Sun-Yuan Hsieh

  • Affiliations:
  • Department of Computer Science and Information Engineering, National Cheng Kung University, No. 1, University Road, Tainan 70101, Taiwan, ROC

  • Venue:
  • Parallel Computing
  • Year:
  • 2006

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Abstract

Let f"v (respectively, f"e) denote the number of faulty vertices (respectively, edges) in an n-dimensional hypercube. In this paper, we show that a fault-free cycle of length of at least 2^n-2f"v can be embedded in an n-dimensional hypercube with f"e=0 or f"e=