4.7 Article

Diagnosability of star graphs with missing edges

Journal

INFORMATION SCIENCES
Volume 188, Issue -, Pages 253-259

Publisher

ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2011.11.012

Keywords

Star graph; Comparison diagnosis model; MM* diagnosis model; Local diagnosability; Extended star structure; Strong local diagnosability property

Funding

  1. National Science Council of the Republic of China [NSC 99-2221-E-009-083-MY3]

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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. (C) 2011 Elsevier Inc. All rights reserved.

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