Conditional Diagnosability of Matching Composition Networks Under the PMC Model
文献类型：期刊论文
| 作者 | Xu, Min1; Thulasiraman, Krishnaiyan2; Hu, Xiao-Dong3
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| 刊名 | IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS
 |
| 出版日期 | 2009-11-01 |
| 卷号 | 56期号:11页码:875-879 |
| 关键词 | Conditional diagnosability conditional faulty set diagnosability PMC model |
| ISSN号 | 1549-7747 |
| DOI | 10.1109/TCSII.2009.2030361 |
| 英文摘要 | In the work of Lai et al. in 2005, they proposed a new measure for fault diagnosis of systems, namely, conditional diagnosability. It assumes that no fault set can contain all the neighbors of any vertex in the system. In the same paper, they showed that the conditional diagnosability of hypercube Q(n) is 4(n - 2) + 1 for n >= 5. In this brief, we generalize this result by considering a family of more popular networks, namely, matching composition networks (MCNs), which are a class of networks composed of two components of the same order linked by a perfect matching under PMC (Preparata, Metze and Chien) model. We determine in Theorem 7 the conditional diagnosability for some MCNs, from which we deduce that the hypercube Qn, the crossed cube Q(n), the twisted cube Q(n), and the Mobius cube MQ(n) all have the same conditional diagnosability of 4(n - 2) + 1 for n >= 5. We show that the bijective connection (BC) networks in the work of Fan and He in 2003 and the work of Zhu in 2008 satisfy the conditions of Theorem 7, and thus, our conditional diagnosability result also applies to BC networks. Finally, we show that the MCNs satisfying the conditions of Theorem 7 are more general than the BC networks. |
| 资助项目 | National Natural Science Foundation of China[10701074] ; National Natural Science Foundation of China[10626053] ; National Natural Science Foundation of China[70221001] ; National Natural Science Foundation of China[10531070] ; Beijing Normal University ; China Postdoctoral Science Foundation ; U.S. National Science Foundation[ECS 0426831] |
| WOS研究方向 | Engineering |
| 语种 | 英语 |
| WOS记录号 | WOS:000271955800015 |
| 出版者 | IEEE-INST ELECTRICAL ELECTRONICS ENGINEERS INC |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/7982]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Xu, Min |
| 作者单位 | 1.Beijing Normal Univ, Sch Math Sci, Lab Math & Complex Syst, Minist Educ, Beijing 100875, Peoples R China 2.Univ Oklahoma, Sch Comp Sci, Norman, OK 73019 USA 3.Chinese Acad Sci, Inst Appl Math, Beijing 100080, Peoples R China |
| 推荐引用方式 GB/T 7714 | Xu, Min,Thulasiraman, Krishnaiyan,Hu, Xiao-Dong. Conditional Diagnosability of Matching Composition Networks Under the PMC Model[J]. IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS,2009,56(11):875-879. |
| APA | Xu, Min,Thulasiraman, Krishnaiyan,&Hu, Xiao-Dong.(2009).Conditional Diagnosability of Matching Composition Networks Under the PMC Model.IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS,56(11),875-879. |
| MLA | Xu, Min,et al."Conditional Diagnosability of Matching Composition Networks Under the PMC Model".IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS II-EXPRESS BRIEFS 56.11(2009):875-879. |
入库方式： OAI收割
来源：数学与系统科学研究院
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