Sorting Multisets in Anonymous Rings

  • Authors:
  • Affiliations:
  • Venue:
  • IPDPS '00 Proceedings of the 14th International Symposium on Parallel and Distributed Processing
  • Year:
  • 2000

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Abstract

An anonymous ring network is a ring where all processors (vertices) are indistinguishable except for their input value. Initially, to each vertex of the ring is associated a value from a totally ordered set; thus, forming a multiset.In this paper, we consider the problem of sorting such a distributed multiset and we investigate its relationship with the election problem. We focus on the computability and the complexity of these problems, as well as on their interrelationship, providing strong characterizations, showing lower bounds, and establishing efficient upper bounds.