Relating the extra connectivity and the conditional diagnosability of regular graphs under the comparison model
被引:29
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作者:
Lin, Limei
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Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
Fujian Normal Univ, 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
[1
,2
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Xu, Li
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机构:
Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
Fujian Normal Univ, 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
[1
,2
]
Zhou, Shuming
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机构:
Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
Fujian Normal Univ, 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
[1
,2
]
机构:
[1] Fujian Normal Univ, Sch Math & Comp Sci, Fuzhou 350007, Fujian, Peoples R China
[2] Fujian Normal Univ, Key Lab Network Secur & Cryptol, Fuzhou 350108, Fujian, Peoples R China
Extra connectivity and conditional diagnosability are two crucial subjects for a multiprocessor system's ability to tolerate and diagnose faulty processors. The extra connectivity and the conditional diagnosability of many well-known multiprocessor systems have been widely investigated. In this paper, the relationship between the extra connectivity and the conditional diagnosability of regular graphs is explored. We establish that the conditional diagnosability under the comparison model is equal to the 2-extra connectivity. Finally, we give empirical analysis on the extra connectivity and conditional diagnosability of some graphs by our proposed relationship. (C) 2015 Elsevier B.V. All rights reserved.
机构:
Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
Xu, Min
Thulasiraman, Krishnaiyan
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机构:
Univ Oklahoma, Sch Comp Sci, Norman, OK 73019 USABeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China
Thulasiraman, Krishnaiyan
Zhu, Qiang
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机构:
Xidian Univ, Dept Math, Xian 710071, Shaanxi, Peoples R ChinaBeijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, 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