Short correctness proofs for two self-stabilizing algorithms under the distributed daemon model

  • Authors:
  • Ji-Cherng Lin;Ming-Yi Chiu

  • Affiliations:
  • Department of Computer Science and Engineering, Yuan-Ze University, 135 Yuan-Tung Road, Chung-Li, Tao-Yuan 320, Taiwan;Department of Computer Science and Engineering, Yuan-Ze University, 135 Yuan-Tung Road, Chung-Li, Tao-Yuan 320, Taiwan

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2009

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Abstract

The distributed daemon model introduced by Burns in 1987 is a natural generalization of the central daemon model introduced by Dijkstra in 1974. In this paper, we show that a well-known shortest path algorithm is self-stabilizing under the distributed daemon model. Although this result has been proven only recently, the correctness proof provided here is from a different point of view and is much more concise. We also show that Bruell et al.'s center-finding algorithm is actually self-stabilizing under the distributed daemon model. Finally, we compute the worst-case stabilization times of the two algorithms under the distributed daemon model.