The 2-good-neighbour diagnosability of modified bubble-sort graphs under the PMC and MM* model
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作者:
Wang, Yanling
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Henan Normal Univ, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Sch Math & Informat Sci, Xinxiang, Henan, Peoples R ChinaHenan Normal Univ, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Sch Math & Informat Sci, Xinxiang, Henan, Peoples R China
Wang, Yanling
[1
]
Wang, Shiying
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Henan Normal Univ, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Sch Math & Informat Sci, Xinxiang, Henan, Peoples R ChinaHenan Normal Univ, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Sch Math & Informat Sci, Xinxiang, Henan, Peoples R China
Wang, Shiying
[1
]
机构:
[1] Henan Normal Univ, Henan Engn Lab Big Data Stat Anal & Optimal Contr, Sch Math & Informat Sci, Xinxiang, Henan, Peoples R China
The study of interconnection networks is a hot topic for multiprocessor systems. Diagnosability plays an important role in the study of interconnection networks. A new measure for fault diagnosis of a system is proposed by Peng et al. in 2012. It is called g-good-neighbour diagnosability which restrains every fault-free vertex containing at least g fault-free neighbours. The n-dimensional modified bubble-sort graph is a special Cayley graph. In this paper, we give that the 2-good-neighbour diagnosability of under the PMC model is 4n-5 for and the 2-good-neighbour diagnosability of under the model is 4n-5 for .
机构:
Fujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Fujian, Peoples R ChinaFujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Fujian, Peoples R China
Zhang, Hong
Zhou, Shuming
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机构:
Fujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Fujian, Peoples R China
Fujian Normal Univ, Ctr Appl Math Fujian Prov, Fuzhou 350117, Peoples R ChinaFujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Fujian, Peoples R China
Zhou, Shuming
Cheng, Eddie
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Oakland Univ Rochester, Dept Math & Stat, Rochester, MI 48309 USAFujian Normal Univ, Coll Math & Stat, Fuzhou 350117, Fujian, Peoples R China
机构:
Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
Fujian Normal Univ, Fujian Prov Key Lab Network Secur & Cryptol, Fuzhou 350108, Fujian, Peoples R ChinaFujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
Lin, Limei
Zhou, Shuming
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机构:
Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
Fujian Normal Univ, Fujian Prov Key Lab Network Secur & Cryptol, Fuzhou 350108, Fujian, Peoples R ChinaFujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
Zhou, Shuming
Xu, Li
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机构:
Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
Fujian Normal Univ, Fujian Prov Key Lab Network Secur & Cryptol, Fuzhou 350108, Fujian, Peoples R ChinaFujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
Xu, Li
Wang, Dajin
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机构:
Montclair State Univ, Dept Comp Sci, Montclair, NJ 07043 USAFujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
机构:
Taiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R ChinaTaiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China
Wei, Yulong
Xu, Min
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机构:
Beijing Normal Univ, Lab Math & Complex Syst, Minist Educ, Sch Math Sci, Beijing 100875, Peoples R ChinaTaiyuan Univ Technol, Dept Math, Taiyuan 030024, Peoples R China