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Dimension-exchange token distribution on the mesh and the torus

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Algorithms and Computation (ISAAC 1996)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1178))

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Abstract

A solution to the token distribution problem is presented for the 2- dimensional mesh and torus, based on the dimension- exchange strategy. The approach is shown to reduce the discrepancy Δ between maximum and minimum processor loads to δ in optimal Θ((Δ− δ) · n) time steps, where 2 ≤ δ < Δ for the mesh, and 4 ≤ δ < Δ for the torus.

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Author information

Authors and Affiliations

  1. Dept. of Computer Science, University of Newcastle, UK

    Michael E. Houle

  2. Dept. of Computer Science, Victoria University of Wellington, UK

    Gavin Turner

Authors
  1. Michael E. Houle
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  2. Gavin Turner
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Editor information

Tetsuo Asano Yoshihide Igarashi Hiroshi Nagamochi Satoru Miyano Subhash Suri

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© 1996 Springer-Verlag Berlin Heidelberg

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Houle, M.E., Turner, G. (1996). Dimension-exchange token distribution on the mesh and the torus. In: Asano, T., Igarashi, Y., Nagamochi, H., Miyano, S., Suri, S. (eds) Algorithms and Computation. ISAAC 1996. Lecture Notes in Computer Science, vol 1178. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0009505

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  • DOI: https://doi.org/10.1007/BFb0009505

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-62048-8

  • Online ISBN: 978-3-540-49633-5

  • eBook Packages: Springer Book Archive

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