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DOI:
Journal of Software:2009.20(2):415-424

H-Torus拓扑结构等分带宽的计算
乐祖晖,赵有健,吴建平,张小平
(清华大学 计算机科学与技术系,北京 100084)
Calculation on the Bisection Width of H-Torus Topology
YUE Zu-Hui,ZHAO You-Jian,WU Jian-Ping,ZHANG Xiao-Ping
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Received:December 25, 2006    Revised:September 06, 2007
> 中文摘要: 针对H-Torus拓扑结构,给出两种确定该拓扑结构等分带宽上、下界的方法.这些方法同样适用于2D Torus拓扑结构.还提出了H-Torus结构等分带宽的精确求解方案,但是该算法的复杂度过大,只适用于网络规模较小的情况.实验表明,H-Torus拓扑结构的等分带宽大于同等规模的2D Torus结构,更有利于提高路由器的吞吐率.与现有的研究结果相比,所提出的等分带宽上、下界在精度上有了较大的提高,这为可扩展路由器的性能评估提供了有力的支持.
Abstract:Two methods are presented to calculate the lower bound and upper bound on the bisection width of H-Torus topology. These two methods can also be applied to the 2D Torus topology. A method is presented to calculate the exact bisection width for H-Torus too. But this method has unacceptable complexity and can only be accepted with small scale. It is shown that H-Torus topology has larger bisection width. Regarding precision, the lower bound and upper bound introduced in this paper are greatly improved. This result strongly supports the design of scalable routers.
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基金项目:Supported by the National Natural Science Foundation of China under Grant No.90604029 (国家自然科学基金); the National Basic Research Program of China under Grant No.2003CB314801 (国家重点基础研究发展计划(973)) Supported by the National Natural Science Foundation of China under Grant No.90604029 (国家自然科学基金); the National Basic Research Program of China under Grant No.2003CB314801 (国家重点基础研究发展计划(973))
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乐祖晖,赵有健,吴建平,张小平.H-Torus拓扑结构等分带宽的计算.软件学报,2009,20(2):415-424

YUE Zu-Hui,ZHAO You-Jian,WU Jian-Ping,ZHANG Xiao-Ping.Calculation on the Bisection Width of H-Torus Topology.Journal of Software,2009,20(2):415-424