(t, k) - Diagnosis for Matching Composition Networks under the MM* Model

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

  • Affiliations:
  • -;-;-

  • Venue:
  • IEEE Transactions on Computers
  • Year:
  • 2007

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Abstract

(t, k) - diagnosis, which is a generalization of sequential diagnosis, requires at least k faulty processors identified and repaired in each iteration provided there are at most t faulty processors, where t\geq k. In this paper, a (t,k){\hbox{-}}\rm diagnosis algorithm under the MM* model is proposed 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 a matching composition network of n dimensions is (\Omega({\frac{2^{n}\ast\log n}{n}}),n){\hbox{-}}\rm diagnosable.