Diagnosability of star graphs with missing edges

  • Authors:
  • Chieh-Feng Chiang;Guo-Huang Hsu;Lun-Min Shih;Jimmy J. M. Tan

  • Affiliations:
  • Department of Computer Science, National Chiao Tung University, Hsinchu 30050, Taiwan;Industrial Technology Research Institute, Hsinchu City, Taiwan;Department of Continuing and Extension Education, Da Yeh University, Taiwan;Department of Computer Science, National Chiao Tung University, Hsinchu 30050, Taiwan

  • Venue:
  • Information Sciences: an International Journal
  • Year:
  • 2012

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Abstract

In this paper, we study the system diagnosis on an n-dimensional star under the comparison model. Following the concept of local diagnosability [3], the strong local diagnosability property [7] is discussed; this property describes the equivalence of the local diagnosability of a node and its degree. We prove that an n-dimensional star has this property, and it keeps this strong property even if there exist n-3 missing edges in it.