Cost distribution of the Chang-Roberts leader election algorithm and related problems

  • Authors:
  • Wei-Mei Chen

  • Affiliations:
  • Department of Electronic Engineering, National Taiwan University of Science and Technology, Taipei, Taiwan

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2006

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Abstract

A detailed probabilistic analysis is proposed of the total number of messages of the Chang-Roberts leader election algorithm. The cost is shown to be closely related to the total path length in random recursive trees, the total left-path length in increasing binary trees and the major cost of an in situ permutation algorithm.