Renaming with k-set-consensus: an optimal algorithm into n + k - 1 slots

  • Authors:
  • Eli Gafni

  • Affiliations:
  • Department of Computer Science, UCLA, Los Angeles, CA

  • Venue:
  • OPODIS'06 Proceedings of the 10th international conference on Principles of Distributed Systems
  • Year:
  • 2006

Quantified Score

Hi-index 0.00

Visualization

Abstract

Recently Mostefaoui, Raynal, and Travers [1] showed that with the use of k-set-consensus they can strongly rename n processors into the range of 2n–⌈n/k ⌉. That is the overhead is n–⌈n/k ⌉. Here we reduce the range to n+k–1, i.e. we reduce the overhead to k–1. For k=c the improvement in the overhead is O(n). We first argue that such an algorithm using topological embedding does exist. We then come-up with a novel explicit algorithm that does not require explicit embedding. The latter technique employed is of independent importance and interest.