期刊
DISCRETE APPLIED MATHEMATICS
卷 262, 期 -, 页码 96-103出版社
ELSEVIER SCIENCE BV
DOI: 10.1016/j.dam.2019.02.021
关键词
g-good-neighbor diagnosability; g-good-neighbor connectivity; PMC model; MM* model
资金
- NSFC [11531011, 11671296, 11861066]
Diagnosability has played an important role in reliability of an interconnection network. In 2012, Peng et al. proposed a new measure of diagnosability, namely, g-good-neighbor diagnosability, which requires every fault-free vertex has at least g fault-free neighbors. The PMC model and MM* model are widely adopted as the fault diagnosis model. The problems of g-good-neighbor diagnosability of many well-known networks under the PMC model and MM* model have been widely explored. In this paper, we study the relationship between g-good-neighbor diagnosability under the PMC model and g-good-neighbor diagnosability under the MM* model of a graph G. In addition, we give some sufficient conditions to ascertain g-good-neighbor diagnosability of a graph G under the PMC model and MM* model. From this, many previous results can be directly obtained and g-good-neighbor diagnosability for many well-known networks under the PMC model and MM* model, are derived. (C) 2019 Elsevier B.V. All rights reserved.
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