An interconnection network RPn(k) and its properties

Yang Lin, Xing Chang-ming
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Abstract

Petersen graph has good performance in parallel and distributed computation because of its properties such as short diameter and regularity. Based on the simple scalable properties of ring and the short network diameter of Petersen graph, a new interconnection network RPn(k) is proposed and the properties of the RPn(k) are analyzed. It is proved that RPn(k) not only has good regularity and extensibility, but also has shorter diameter and smaller construction costs than the RP(k) network. Additionally, The conditions satisfying that the network diameter of RPn(k) are better than those of 2D Torus are presented.
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一种互连网络RPn(k)及其性质
Petersen图具有直径短、规律性强等特点,在并行计算和分布式计算中具有良好的性能。基于环的简单可扩展性和Petersen图的网络直径较短的特点,提出了一种新的互连网络RPn(k),并分析了RPn(k)的性质。证明了RPn(k)网络不仅具有良好的规律性和可扩展性,而且比RP(k)网络直径更短,造价更低。此外,还给出了RPn(k)网径优于二维环面网径的条件。
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