A Space Optimal, Deterministic, Self-Stabilizing, Leader Election Algorithm for Unidirectional Rings

  • Authors:
  • Faith E. Fich;Colette Johnen

  • Affiliations:
  • -;-

  • Venue:
  • DISC '01 Proceedings of the 15th International Conference on Distributed Computing
  • Year:
  • 2001

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Abstract

A new, self-stabilizing algorithm for electing a leader on a unidirectional ring of prime size is presented for the composite atomicity model with a centralized daemon. Its space complexity is optimal to within a small additive constant number of bits per processor, significantly improving previous self-stabilizing algorithms for this problem. In other models or when the ring size is composite, no deterministic solutions exist, because it is impossible to break symmetry.