A general approach to deriving diagnosability results of interconnection networks

被引:5
作者
Cheng, Eddie [1 ]
Mao, Yaping [2 ]
Qiu, Ke [3 ]
Shen, Zhizhang [4 ]
机构
[1] Oakland Univ, Dept Math & Stat, Rochester, MI 48063 USA
[2] Qinghai Normal Univ, Sch Math & Stat, Xining, Qinghai, Peoples R China
[3] Brock Univ, Dept Comp Sci, St Catharines, ON, Canada
[4] Plymouth State Univ, Dept Comp Sci & Technol, Plymouth, NH 03264 USA
基金
奥地利科学基金会;
关键词
Fault tolerance; diagnosability; g-good-neighbour diagnosability; g-extra diagnosability; the hypercube graph; the; (n; k)-star graph; the arrangement graph; NEIGHBOR CONDITIONAL DIAGNOSABILITY; FAULT-TOLERANCE; (N; HYPERCUBES; CONNECTIVITY; DIAGNOSIS; GRAPHS; EXTRACONNECTIVITY; RELIABILITY;
D O I
10.1080/17445760.2022.2060977
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
We generalise an approach to deriving diagnosability results of various interconnection networks in terms of the popular g-good-neighbour and g-extra fault-tolerant models, as well as mainstream diagnostic models such as the PMC and the MM* models. As demonstrative examples, we show how to follow this constructive, and effective, process to derive the g-extra diagnosabilities of the hypercube, the (n, k)-star, and the arrangement graph. These results agree with those achieved individually, without duplicating structure independent technical details. Some of them come with a larger applicable range than those already known, and the result for the arrangement graph in terms of the MM* model is new.
引用
收藏
页码:369 / 397
页数:29
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