The complexity of parallel sorting

  • Authors:
  • Friedhelm Meyer auf der Heide;Avi Wigderson

  • Affiliations:
  • -;-

  • Venue:
  • SFCS '85 Proceedings of the 26th Annual Symposium on Foundations of Computer Science
  • Year:
  • 1985

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Abstract

We consider PRAM's with arbitrary computational power for individual processors, infinitely large shared memory and "priority" writeconflict resolution. The main result is that sorting n integers with n processors requires Ω(√log n) steps in this strong model. We also show that computing any symmetric polynomial (e.g. the sum or product) of n integers requires exactly log2n steps, for any finite number of processors.