Self-stabilizing Deterministic Gathering

  • Authors:
  • Yoann Dieudonné;Franck Petit

  • Affiliations:
  • MIS CNRS, Université de Picardie Jules Verne Amiens, France;INRIA, LIP UMR 5668, Université de Lyon / ENS Lyon, France

  • Venue:
  • Algorithmic Aspects of Wireless Sensor Networks
  • Year:
  • 2009

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Abstract

In this paper, we investigate the possibility to deterministically solve the gathering problem (GP) with weak robots (anonymous, autonomous, disoriented, oblivious, deaf, and dumb). We introduce strong multiplicity detection as the ability for the robots to detect the exact number of robots located at a given position. We show that with strong multiplicity detection, there exists a deterministic self-stabilizing algorithm solving GP for n robots if, and only if, n is odd.