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Optimal average case sorting on arrays

  • Manfred Kunde
  • Rolf Niedermeier
  • Klaus Reinhardt
  • Peter Rossmanith
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 900)

Abstract

We present algorithms for sorting and routing on two-dimensional mesh-connected parallel architectures that are optimal on average. If one processor has many packets then we asymptotically halve the up to now best running times. For a load of one optimal algorithms are known for the mesh. We improve this to a load of eight without increasing the running time. For tori no optimal algorithms were known even for a load of one. Our algorithm is optimal for every load. Other architectures we consider include meshes with diagonals and reconfigurable meshes. Furthermore, the method applies to meshes of arbitrary higher dimensions and also enables optimal solutions for the routing problem.

Keywords

Buffer Size Average Case Indexing Scheme Adjacent Pair Processor Array 
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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Copyright information

© Springer-Verlag Berlin Heidelberg 1995

Authors and Affiliations

  • Manfred Kunde
    • 2
  • Rolf Niedermeier
    • 1
  • Klaus Reinhardt
    • 1
  • Peter Rossmanith
    • 2
  1. 1.Wilhelm-Schickard-Institut für InformatikUniversität TübingenTübingenFed. Rep. of Germany
  2. 2.Fakultät für InformatikTechnische Universität MünchenMünchenFed. Rep. of Germany

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