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has been cited by the following article:

• TITLE: Some Properties of the g-Good-Neighbor (g-Extra) Diagnosability of a Multiprocessor System

  AUTHORS: Yunxia Ren, Shiying Wang

  KEYWORDS: Interconnection Network, Combinatorics, Diagnosability

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.6 No.3, September 21, 2016

  ABSTRACT: Diagnosability of a multiprocessor system is one important study topic. In 2012, Peng et al. proposed a measure for fault tolerance of the system, which is called the g-good-neighbor diagnosability that restrains every fault-free node containing at least g fault-free neighbors. In 2015, Zhang et al. proposed a measure for fault diagnosis of the system, namely, g-extra diagnosability, which restrains that every fault-free component has at least g+1 fault-free nodes. In this paper, we obtain some properties of the g-good-neighbor (g-extra) diagnosability of the system and give the g-good-neighbor (g-extra) diagnosability of some graphs under the PMC model and MM* model.