4.3 Article

A general approach to deriving the g-good-neighbor conditional diagnosability of interconnection networks

Journal

THEORETICAL COMPUTER SCIENCE
Volume 757, Issue -, Pages 56-67

Publisher

ELSEVIER SCIENCE BV
DOI: 10.1016/j.tcs.2018.07.018

Keywords

Fault tolerance property; R-h-restricted connectivity; g-Good-neighbor conditional diagnosability; Arrangement graph; (n, k)-Star graph; Parallel and distributed computing

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We discuss a general approach to deriving the g-good-neighbor conditional diagnosability of interconnection networks. As demonstrative examples, we derive the 1- and 2-good-neighbor conditional diagnosabilities of the arrangement graphs under both the commonly adopted PMC and MM* model. We also derive the general g-good-neighbor conditional diagnosability of the (n, k)-star graphs under the PMC model for g is an element of [1, n - k], and under the MM* model for g is an element of [2, n - k], as well as that of the related graphs, such as the star graph, the alternating group graph, and the alternating group network. (C) 2018 Elsevier B.V. All rights reserved.

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