Multiple-Edge-Fault Tolerance with Respect to Hypercubes

  • Authors:
  • Ting-Yi Sung;Tung-Yang Ho;Men-Yang Lin

  • Affiliations:
  • Academia Sinica, Taipei, Taiwan;Academia Sinica, Taipei, Taiwan;National Taichung Institute of Commerce, Taichung, Taiwan

  • Venue:
  • IEEE Transactions on Parallel and Distributed Systems
  • Year:
  • 1997

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Abstract

Previous works on edge-fault tolerance with respect to hypercubes Qn are mainly focused on 1-edge fault and 2- or 3-edge fault with limited size of n. We give a construction scheme for 2-EFT(Qn) graphs and 3-EFT(Qn) graphs, where n is arbitrarily large. In our constructions, approximately log n extra degree is added to the vertices of Qn for 2-edge-fault tolerance, and one more degree for 3-edge-fault tolerance.