一种新的超立方体网络分析方法

[1989] Proceedings. The 9th International Conference on Distributed Computing Systems Pub Date : 1989-06-05 DOI:10.1109/ICDCS.1989.37955

B. Jin, Lan Jin

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引用次数: 2

摘要

提出了一种表示超立方体互连拓扑的位位置表示法。这种方法对分析超立方体网络的基本性质有很大帮助。导出了一些系统的程序来展开二叉树并将它们映射到高维超立方体。作者证明了n-立方体网络可以通过添加最多2/sup n-2/对角线链路来增强，这使得将一个完全二叉树映射到一个以其任意一个节点为根的超立方体成为可能。讨论了将网状网络映射到超立方体网络的问题。

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A new approach to hypercube network analysis

A bit-positional notation is proposed for representing the interconnection topology of a hypercube. This approach greatly helps in the analysis of basic properties of a hypercube network. Some systematic procedures are derived to expand binary trees and map them into higher-dimensional hypercubes. The authors show that an n-cube network can be enhanced by adding at most 2/sup n-2/ diagonal links, which makes it possible to map a complete binary tree into a hypercube with any one of its nodes as the root. The problem of mapping mesh networks into hypercube networks is discussed.<>

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[1989] Proceedings. The 9th International Conference on Distributed Computing Systems

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