Abstract
In this paper, we propose a new universal network, called recursive dual-net (RDN), as a potential candidate for the interconnection network of supercomputers with very large scale. The recursive dual-net is based on a recursive dual-construction of a base network. A k-level dual-construction for kâ>â0 creates a network containing \((2m)^{2^k}/2\) nodes with node-degree dâ+âk, where m and d are the number of nodes and the node-degree, respectively, of the base network. The recursive dual-net is node and edge symmetric and can contain huge number of nodes 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 recursive dual-net and compare it to that of other networks including 3D torus, WK-recursive network, hypercube, cube-connected-cycle, and dual-cube. We also establish the basic routing and broadcasting algorithms for the proposed recursive dual-net.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Adiga, N.R., Blumrich, M.A., Chen, D., Coteus, P., Gara, A., Giampapa, M.E., Heidelberger, P., Singh, S., Steinmacher-Burow, B.D., Takken, T., Tsao, M., Vranas, P.: Blue gene/l torus interconnection network. IBM Journal of Research and Development 49(2/3), 265â276 (2005), http://www.research.ibm.com/journal/rd/492/tocpdf.html
Aki, S.G.: Parallel Computation: Models and Methods. Prentice-Hall, Englewood Cliffs (1997)
Beckman, P.: Looking toward exascale computing, keynote speaker. In: International Conference on Parallel and Distributed Computing, Applications and Technologies (PDCAT 2008), University of Otago, Dunedin, New Zealand, December 2 (2008)
Chen, G.H., Duh, D.R.: Topological properties, communication, and computation on wk-recursive networks. Networks 24(6), 303â317 (1994)
Ghose, K., Desai, K.R.: Hierarchical cubic networks. IEEE Transactions on Parallel and Distributed Systems 6(4), 427â435 (1995)
Leighton, F.T.: Introduction to Parallel Algorithms and Architectures: Arrays, Trees, Hypercubes. Morgan Kaufmann, San Francisco (1992)
Li, Y., Peng, S.: Dual-cubes: a new interconnection network for high-performance computer clusters. In: Proceedings of the 2000 International Computer Symposium, Workshop on Computer Architecture, ChiaYi, Taiwan, December 2000, pp. 51â57 (2000)
Li, Y., Peng, S., Chu, W.: Efficient collective communications in dual-cube. The Journal of Supercomputing 28(1), 71â90 (2004)
Preparata, F.P., Vuillemin, J.: The cube-connected cycles: a versatile network for parallel computation. Commun. ACMÂ 24, 300â309 (1981)
Saad, Y., Schultz, M.H.: Topological properties of hypercubes. IEEE Transactions on Computers 37(7), 867â872 (1988)
TOP500. Supercomputer Sites (June 2008), http://top500.org/
Varma, A., Raghavendra, C.S.: Interconnection Networks for Multiprocessors and Multicomputers: Theory and Practice. IEEE Computer Society Press, Los Alamitos (1994)
Vicchia, G., Sanges, C.: A recursively scalable network vlsi implementation. Future Generation Computer Systems 4(3), 235â243 (1988)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
Âİ 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
Li, Y., Peng, S., Chu, W. (2009). Recursive Dual-Net: A New Universal Network for Supercomputers of the Next Generation. In: Hua, A., Chang, SL. (eds) Algorithms and Architectures for Parallel Processing. ICA3PP 2009. Lecture Notes in Computer Science, vol 5574. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03095-6_76
Download citation
DOI: https://doi.org/10.1007/978-3-642-03095-6_76
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03094-9
Online ISBN: 978-3-642-03095-6
eBook Packages: Computer ScienceComputer Science (R0)