Recursive dual-net: A new versatile network for supercomputers of the next generation

In this paper, we propose a new versatile network, called a recursive dual-net (RDN), as a potential candidate for the interconnection network of supercomputers of the next generation. The RDN is based on recursive dual-construction of a base network. A k-level recursive dualconstruction for k >...

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Bibliographic Details
Published in:Journal of the Chinese Institute of Engineers Vol. 32; no. 7; pp. 931 - 938
Main Authors: Li, Yamin, Peng, Shietung, Chu, Wanming
Format: Journal Article
Language:English
Published: Taylor & Francis Group 01.11.2009
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ISSN:0253-3839, 2158-7299
Online Access:Get full text
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Summary:In this paper, we propose a new versatile network, called a recursive dual-net (RDN), as a potential candidate for the interconnection network of supercomputers of the next generation. The RDN is based on recursive dual-construction of a base network. A k-level recursive dualconstruction for k > 0 creates a network containing (2m) 2k /2 nodes with node-degree d + k, where m and d are the number of nodes and the node-degree of the base network, respectively. The RDN is node and edge symmetric if the base network is node and edge symmetric. The RDN can contain a huge number of nodes, each with small node-degree and short diameter. For example, we can construct a symmetric RDN connecting more than 3-million nodes with only 6 links per node and a diameter of 22. We investigate the topological properties of the RDN and compare them to those of other networks including 3D torus, WK-recursive network, hypercube, cube-connected-cycle, and dual-cube. We also establish the efficient routing and broadcasting algorithms for the RDN.
ISSN:0253-3839
2158-7299
DOI:10.1080/02533839.2009.9671580