Simulation of meshes and tori in an asymmetric faulty incrementally extensible hypercube with unbounded expansion

  • Authors:
  • Jen-Chih Lin

  • Affiliations:
  • Department of Digital Technology Design, National Taipei University of Education, Da-an District, Taipei City, Taiwan

  • Venue:
  • WSEAS Transactions on Information Science and Applications
  • Year:
  • 2010

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Abstract

The paper considers the problem of finding meshes and tori in a Faulty Incrementally Extensible Hypercube if any. We develop novel algorithms to facilitate the embedding job when the Incrementally Extensible Hypercube (IEH) contains faulty nodes. We present strategies for reconfiguring a mesh or tori in an IEH with unbounded expansion. These simulation approach shows a mesh or torus can be embedded into a faulty IEH Gn(N) with load 1, congestion 1 and dilation 3 such that O(n2-⌊log2m⌋2) faults can be tolerated. Furthermore, the technology can be apply in grid computing and cloud computing.