| 单圈图生成的凯莱图UG_n在PMC模型和MM~*模型下的1好邻诊断度 |
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| 引用本文： | 任佳敏,冯伟,赵凌琪,王世英,吉日木图.单圈图生成的凯莱图UG_n在PMC模型和MM~*模型下的1好邻诊断度[J].运筹学学报,2019,23(1):97-103. |
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| 作者姓名： | 任佳敏 冯伟 赵凌琪 王世英 吉日木图 |
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| 作者单位： | 1. 内蒙古民族大学数学学院, 内蒙古通辽 028043;
2. 内蒙古民族大学计算机科学与技术学院, 内蒙古通辽 028043;
3. 河南师范大学数学与信息科学学院, 河南新乡 453007 |
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| 基金项目： | 国家自然科学基金（Nos.61262018，61370001，61402317），内蒙古民族大学科学研究项目（No.NMDGP17106） |
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| 摘 要： | 多处理系统的诊断度是一个重要的研究课题.一种新的系统故障诊断方法称为g好邻诊断度,它是限制每个无故障点至少包含g个无故障的邻点.单圈图生成的凯莱图UG_n作为一种极好的互联网络拓扑结构有许多好的性质.现证明了当n≥4时,单圈图生成的凯莱图UG_n在PMC模型下的1好邻诊断度是2n-1;当n≥5时,UG_n在MM~*模型下的1好邻诊断度是2n-1.
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| 关 键 词： | 互联网络 诊断度 凯莱图 PMC模型 MM*模型 |
| 收稿时间： | 2017-09-11 |
The 1-good-neighbor diagnosability of the Cayley graphs UGn generated by unicyclic graphs under the PMC model and the MM* model |
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| REN Jiamin,FENG Wei,ZHAO Lingqi,WANG Shiying,JIRIMUTU.The 1-good-neighbor diagnosability of the Cayley graphs UGn generated by unicyclic graphs under the PMC model and the MM* model[J].OR Transactions,2019,23(1):97-103. |
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| Authors: | REN Jiamin FENG Wei ZHAO Lingqi WANG Shiying JIRIMUTU |
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| Institution: | 1. College of Mathematics, Inner Mongolia University for Nationalities, Tongliao 028043, Inner Mongolia Autonomous Region, China;
2. College of Computer Science and Technology, Inner Mongolia University for Nationalities, Tongliao 028043, Inner Mongolia Autonomous Region, China;
3. School of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, Henan, China |
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| Abstract: | Diagnosability of a multiprocessor system is an important study topic. A new measure for fault diagnosis of the system is called g-good-neighbor diagnosability that restrains every fault-free node containing at least g fault-free neighbors. As a famous topology structure of interconnection networks, the Cayley graph UGn generated by unicyclic graphs has many good properties. In this paper, we prove that the 1-good-neighbor diagnosability of the Cayley graph UGn generated by unicyclic graphs is 2n-1 under the PMC model for n ≥ 4; the 1-good-neighbor diagnosability of the Cayley graph UGn generated by unicyclic graphs is 2n-1 under the MM* model for n ≥ 5. |
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| Keywords: | interconnection network diagnosability Cayley graph PMC model MM* model |
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