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Simulation of large networks on smaller networks

Extended abstract
  • H. L. Bodlaender
  • J. van Leeuwen
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 182)

Abstract

Parallel algorithms are normally designed for execution on networks of N processors, with N depending on the size of the problem to be solved. In practice there will be a varying problem size but a fixed network size. In [2] the notion of network emulation was proposed, to obtain a structure preserving simulation of large networks on smaller networks. We present a detailed analysis of the possible emulations for some important classes of networks.

Keywords

Large Network Small Network Characterization Theorem Grid Network Ring Network 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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7. References

  1. [1]
    Bodlaender, H.L. and J. van Leeuwen, Simulation of large networks on smaller networks, Techn. Rep. RUU-CS-84-4, Dept of Computer Science, University of Utrecht, Utrecht, 1984.Google Scholar
  2. [2]
    Fishburn, J.P., and R.A. Finkel, Quotient networks, IEEE Trans. Comput. C-31(1982)288–295.Google Scholar
  3. [3]
    Garey, M.R., and D.S. Johnson, Computers and intractibility: a guide to the theory of NP-completeness, W.H. Freeman, San Francisco, Calif., 1979.Google Scholar
  4. [4]
    Parker, D.S., Notes on shuffle/exchange-type switching networks, IEEE Trans. Comput. C-29(1980)213–222.Google Scholar
  5. [5]
    Stone, H.S., Parallel processing with the perfect shuffle, IEEE Trans. Comput. C-20(1971)153–161.Google Scholar
  6. [6]
    van Leeuwen, J., Parallel computers and algorithms, Techn. Rep. RUU-CS-83-13, Dept of Computer Science, University of Utrecht, Utrecht, 1983.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 1984

Authors and Affiliations

  • H. L. Bodlaender
    • 1
  • J. van Leeuwen
    • 1
  1. 1.Department of Computer ScienceUniversity of UtrechtUtrechtthe Netherlands

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