| 一类故障六角形蜂窝环的容错哈密尔顿性 |
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| 引用本文： | 董强,杨小帆,张春明.一类故障六角形蜂窝环的容错哈密尔顿性[J].重庆大学学报(自然科学版),2011,34(8):31-35. |
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| 作者姓名： | 董强 杨小帆 张春明 |
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| 作者单位： | 重庆大学计算机学院;电子科技大学国家级计算机实验教学示范中心; |
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| 基金项目： | 国家自然科学基金资助项目(10771227); 教育部新世纪优秀人才资助计划(NCET-05-0759) |
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| 摘 要： | 并行与分布式系统的性能很大程度上取决于底层互连网络的有效性,蜂窝网络是并行与分布式应用中很有前景的互连网络。该文研究了一类含有2个故障结点的六角形蜂窝环的容错哈密尔顿性,这2个故障结点落在任意长度为6的圈的对角处。通过长度为6的圈上的边交换操作,把故障六角形蜂窝环上的3个不相交的无故障圈合并为1个容错哈密尔顿圈,从而证明这类故障六角形蜂窝环是哈密尔顿图。该结果揭示了六角形蜂窝环的另1个重要的容错性质。
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| 关 键 词： | 互连网络 蜂窝结构 六角形蜂窝环 容错 哈密尔顿圈 |
| 收稿时间： | 2/1/2011 12:00:00 AM |
Fault-tolerant hamiltonicity of a class of faulty hexagonal honeycomb tori |
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| DONG Qiang,YANG Xiao-fan and ZHANG Chun-ming.Fault-tolerant hamiltonicity of a class of faulty hexagonal honeycomb tori[J].Journal of Chongqing University(Natural Science Edition),2011,34(8):31-35. |
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| Authors: | DONG Qiang YANG Xiao-fan and ZHANG Chun-ming |
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| Institution: | DONG Qiang1,2,YANG Xiao-fan1,ZHANG Chun-ming1 (1.College of Computer Science,Chongqing University,Chongqing 400044,P.R.China,2.National Computer Experimental Teaching Demonstration Center,University of Electronic Science and Technology of China,Chengdu 611731,Sichuan,P.R.China) |
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| Abstract: | The performance of a parallel and distributed system heavily depends on the effectiveness of the underlying interconnection network.Honeycomb networks are promising candidates for interconnection networks in parallel and distributed applications.This paper addresses the hamiltonicity of a hexagonal honeycomb torus(HHT) with a pair of faulty nodes lying diagonally on a cycle of length 6.We show that such a faulty HHT is hamiltonian by presenting a systematic method for constructing a fault-free hamiltonian c... |
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| Keywords: | interconnection networks honeycomb structures hexagonal honeycomb torus fault-tolerance hamiltonian cycles |
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