Skip to main content

On the Rearrangeability of Multistage Networks Employing Uniform Connection Pattern

  • Conference paper
  • First Online:

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1909))

Abstract

In this paper, the rearrangeability of (2s—1)-stage networks is proved. This result is used to prove that (2 logn N—1)-stage nonsymmetric networks employing uniform connection pattern, two passes through s-stage networks with the same kth and (s—k+1)st stages, and 2 logn N—1 circulations through single-stage networks are rearrangeable.

This is a preview of subscription content, log in via an institution.

Buying options

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. D. H. Lawrie. Access and alignment of data in an array processor, IEEE Transactions on Computers, C-24(12), 1975, pp. 1145–1155.

    Article  MathSciNet  Google Scholar 

  2. C. Wu, T. Feng. On a class of multistage interconnection networks, IEEE Transactions on Computers, C-29(8), 1980, pp. 694–702.

    Article  Google Scholar 

  3. L. R. Goke, G. J. Lipovski. Banyan networks for partitioning multiprocessor systems, in Proceedings of 1st annual symposium on computer architecture, 1973, pp. 21–28.

    Google Scholar 

  4. H. S. Stone. Parallel processing with perfect shuffle. IEEE Transactions on Computers, C-20(2), 1971, pp. 153–161.

    Article  Google Scholar 

  5. A. Varma, C. S. Raghavendra. Interconnection Networks for Multiprocessors and Multicomputers. IEEE Computer Society Press, 1994.

    Google Scholar 

  6. D. S. Parker. Notes on shuffle/exchange type switching networks. IEEE Transactions on Computers, C-29(3), 1980, pp. 213–222.

    Article  Google Scholar 

  7. C. L. Wu, T. H. Feng. The universality of shuffle/exchange network. IEEE Transactions on Computers, C-30(5), 1981, pp. 324–332.

    Article  MathSciNet  Google Scholar 

  8. C. K. Kotari, S. Lakshmivarahan. A note on rearrangeable networks. Technical report, School of Engineering and Computer Science, University of Oklahoma, 1983.

    Google Scholar 

  9. A. Varma, C. S. Rahavendra. Rearrangeability of multistage shuffle exchange networks. IEEE Transactions on Communications, 36(10), 1988, pp. 1138–1147.

    Article  MATH  Google Scholar 

  10. N. Linital and M. Tarzi. Interpolation between bases and the shuffle exchange networks. European Journal of Combinatorics, 10, 1989, pp. 29–39.

    MathSciNet  Google Scholar 

  11. F. Soviš. On rearrangeable networks of shuffle/exchange type. Computers and Artificial Intelligence, 7(4), 1988, pp. 359–373.

    MathSciNet  MATH  Google Scholar 

  12. H. Cam, J. A. B. Fortes. Rearrangeability of shuffle/exchange networks, in Proceedings Frontiers of Massively Parallel Computation, 1990, pp. 303–314.

    Google Scholar 

  13. Frank K. Hwang. The mathematical theory of nonblocking switching networks networks. World Scientific, 1999.

    Google Scholar 

  14. R. Bashirov. On the rearrangeability of (2s-1)-stage nonsymmetric interconnection networks, in Proceedings 2000 International Conference on Parallel and Distributed Processing Techniques and Applications, June 2000, pp. 907–912.

    Google Scholar 

  15. V. E. Beneš. Mathematical theory of connecting networks and telephone traffic. New York, Academic Press, 1965.

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Bashirov, R. (2000). On the Rearrangeability of Multistage Networks Employing Uniform Connection Pattern. In: Yakhno, T. (eds) Advances in Information Systems. ADVIS 2000. Lecture Notes in Computer Science, vol 1909. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-40888-6_16

Download citation

  • DOI: https://doi.org/10.1007/3-540-40888-6_16

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-41184-0

  • Online ISBN: 978-3-540-40888-8

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics