On conditional diagnosability of the folded hypercubes

  • Authors:
  • Qiang Zhu;San-Yang Liu;Min Xu

  • Affiliations:
  • Department of Mathematics, XiDian University, Xi'An, ShaanXi 710071, China;Department of Mathematics, XiDian University, Xi'An, ShaanXi 710071, China;School of Mathematical Sciences, Beijing Normal University, Beijing 100875, China

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2008

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Abstract

The n-dimensional folded hypercube FQ"n, a variation of the hypercube proposed by Ahmed et al. [A. El-Amawy, S. Latifi, Properties and performance of folded hypercubes, IEEE Transactions on Parallel and Distributed Systems 2(3) (1991) 31-42], is an (n+1)-regular (n+1)-connected graph. Conditional diagnosability, a new measure of diagnosability introduced by Lai et al. [Pao-Lien Lai, Jimmy J.M. Tan, Chien-Ping Chuang, Lih-Hsing Hsu, Conditional diagnosability measures for large multiprocessor systems, IEEE Transactions on Computers 54(2) (2005) 165-175] can better measure the diagnosability of regular interconnection networks. This paper determines that under PMC-model the conditional diagnosability of FQ"n (t"c(FQ"n)) is 4n-3 when n=5 or n=8; t"c(FQ"3)=3, t"c(FQ"4)=7.