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Simulation of large networks on smaller networks

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STACS 85 (STACS 1985)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 182))

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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.

The work of this author was supported by the Foundation for Computer Science (SION) of the Netherlands Organization for the Advancement of Pure Research (ZWO).

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7. References

  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.

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  2. Fishburn, J.P., and R.A. Finkel, Quotient networks, IEEE Trans. Comput. C-31(1982)288–295.

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  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.

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  4. Parker, D.S., Notes on shuffle/exchange-type switching networks, IEEE Trans. Comput. C-29(1980)213–222.

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  5. Stone, H.S., Parallel processing with the perfect shuffle, IEEE Trans. Comput. C-20(1971)153–161.

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  6. van Leeuwen, J., Parallel computers and algorithms, Techn. Rep. RUU-CS-83-13, Dept of Computer Science, University of Utrecht, Utrecht, 1983.

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K. Mehlhorn

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© 1984 Springer-Verlag Berlin Heidelberg

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Bodlaender, H.L., van Leeuwen, J. (1984). Simulation of large networks on smaller networks. In: Mehlhorn, K. (eds) STACS 85. STACS 1985. Lecture Notes in Computer Science, vol 182. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0023994

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  • DOI: https://doi.org/10.1007/BFb0023994

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13912-6

  • Online ISBN: 978-3-540-39136-4

  • eBook Packages: Springer Book Archive

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