Self-stabilizing Cuts in Synchronous Networks

  • Authors:
  • Thomas Sauerwald;Dirk Sudholt

  • Affiliations:
  • Dept. of CS, University of Paderborn, Paderborn, Germany;Dept. of CS, Dortmund University of Technology, Dortmund, Germany

  • Venue:
  • SIROCCO '08 Proceedings of the 15th international colloquium on Structural Information and Communication Complexity
  • Year:
  • 2008

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Abstract

Consider a synchronized distributed system where each node can only observe the state of its neighbors. Such a system is called self-stabilizing if it reaches a stable global state in a finite number of rounds. Allowing two different states for each node induces a cut in the network graph. In each round, every node decides whether it is (locally) satisfied with the current cut. Afterwards all unsatisfied nodes change sides independently with a fixed probability p. Using different notions of satisfaction enables the computation of maximal and minimal cuts, respectively. We analyze the expected time until such cuts are reached on several graph classes and consider the impact of the parameter pand the initial cut.