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R. Ahlswede and H. Aydinian, “On Diagnosability of Large Multiprocessor Networks,” Discrete Applied Mathematics, Vol. 156, No. 18, 2008, pp. 3464-3474. doi:10.1016/j.dam.2008.02.001

has been cited by the following article:

• TITLE: Conditional Diagnosability of the Locally Twisted Cubes under the PMC Model

  AUTHORS: Ruitao Feng, Genqing Bian, Xinke Wang

  KEYWORDS: Locally Twisted Cubes, Diagnosability, Conditional Diagnosability, PMC Mode

  JOURNAL NAME: Communications and Network, Vol.3 No.4, November 16, 2011

  ABSTRACT: In a multiprocessor systems, it is important to local and to replace the faulty processors to maintain systempsilas high reliability. The fault diagnosis, which is the process of identifying fault processors in a multiprocessor system through testing. The conditional diagnosis requires that for each processor u in a system, all the processors that are directly connected to u do not fail at the same time. In this paper, we study the conditional diagnosability of the n-dimensional locally twisted cubes. After showing some properties of the locally twisted cubes, we prove that it under the PMC model is 4n – 7 for n ≥ 5.