On fault-tolerant embedding of meshes and tori in a flexible hypercube with unbounded expansion

  • Authors:
  • Jen-Chih Lin

  • Affiliations:
  • Department of Digital Technology Design, National Taipei University of Education, Taipei City, Taiwan

  • Venue:
  • WSEAS TRANSACTIONS on SYSTEMS
  • Year:
  • 2010

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Abstract

The Flexible Hypercubes are superior to hypercube in terms of embedding a mesh and torus under faults. Therefore, this paper presented techniques to enhance the novel algorithm for fault-tolerant meshes and tori embedded in Flexible Hypercubes with node failures. The paper demonstrates that O(n2-⌊log2m⌋2) faults can be tolerated and the algorithm is optimized mainly for balancing the processor and communication link loads. Also, the methodology is proven and an algorithm is presented to solve them. These existent parallel algorithms on mesh or torus architectures to be easily transformed to or implemented on the Flexible Hypercube architectures with load 1, congestion 1, dilation 3, and unbounded expansion. The useful properties revealed and the algorithm proposed in this paper can find their way when the system designers evaluate a candidate network's competence and suitability, balancing regularity and other performance criteria, in choosing an interconnection network. Therefore, we can easily port the parallel or distributed algorithms developed for these structuring of mesh and torus to the Flexible Hypercube.