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Perfect Distance-d Placements in 2D Toroidal Networks

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Abstract

A perfect distance-d placement distributes a limited number of resources in a multicomputer parallel system so that every non-resource node is within a distance d or less from exactly one resource node. In this paper, we prove a necessary and sufficient condition for the existence of perfect distance-d placements in 2D toroidal networks. Furthermore, we describe how to generate these placements when they exist.

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, Kuwait University, PO Box 5969, Safat, 13060, Kuwait

    Bader F. Albdaiwi

  2. Department of Computer Science, Southern Illinois University, Edwardsville, IL, 62026-1650, USA

    Marilynn L. Livingston

Authors
  1. Bader F. Albdaiwi
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  2. Marilynn L. Livingston
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Correspondence to Bader F. Albdaiwi.

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Albdaiwi, B.F., Livingston, M.L. Perfect Distance-d Placements in 2D Toroidal Networks. The Journal of Supercomputing 29, 45–57 (2004). https://doi.org/10.1023/B:SUPE.0000022572.95414.27

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  • DOI: https://doi.org/10.1023/B:SUPE.0000022572.95414.27

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