(t,k)-Diagnosis for Matching Composition Networks

  • Authors:
  • Guey-Yun Chang;Gen-Huey Chen;Gerard J. Chang

  • Affiliations:
  • -;-;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 2006

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Abstract

(t,k){\hbox{-}}{\rm diagnosis}, which is a generalization of sequential diagnosis, requires at least k faulty processors identified and replaced in each iteration provided there are at most t faulty processors, where t \ge k. This paper proposes a (t,k){\hbox{-}}{\rm diagnosis} algorithm for matching composition networks, which include many well-known interconnection networks such as hypercubes, crossed cubes, twisted cubes, and Möbius cubes. It is shown that matching composition networks of n dimensions are (\Omega({\frac{2^n*\log n}{n}}), n){\hbox{-}}{\rm diagnosable}, where n5.