Enabling Minimal Dominating Set in Highly Dynamic Distributed Systems

  • Swan Dubois
  • Mohamed-Hamza Kaaouachi
  • Franck Petit
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 9212)

Abstract

We address the problem of computing a Minimal Dominating Set in highly dynamic distributed systems. We assume weak connectivity, i.e., the network may be disconnected at each time instant and topological changes are unpredictable. We make only weak assumptions on the communication: every process is infinitely often able to communicate with other processes (not necessarily directly).

Our contribution is threefold. First, we propose a new definition of minimal dominating set suitable for the context of time-varying graphs that seems more relevant than existing ones. Next, we provide a necessary and sufficient topological condition for the existence of a deterministic algorithm for minimal dominating set construction in our settings. Finally, we propose a new measure of time complexity in time-varying graph in order to allow fair comparison between algorithms. Indeed, this measure takes account of communication delays attributable to dynamicity of the graph and not to the algorithms.

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Copyright information

© Springer International Publishing Switzerland 2015

Authors and Affiliations

  • Swan Dubois
    • 1
  • Mohamed-Hamza Kaaouachi
    • 1
  • Franck Petit
    • 1
  1. 1.Sorbonne Universités, UPMC Univ Paris 06, CNRS, INRIA, LIP6 UMR 7606Paris Cedex 5France

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