A memory efficient self-stabilizing algorithm for maximal k-packing

  • Authors:
  • Fredrik Manne;Morten Mjelde

  • Affiliations:
  • Department of Informatics, University in Bergen, Norway;Department of Informatics, University in Bergen, Norway

  • Venue:
  • SSS'06 Proceedings of the 8th international conference on Stabilization, safety, and security of distributed systems
  • Year:
  • 2006

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Abstract

The k-packing problem asks for a subset S of the nodes in a graph such that the distance between any pair of nodes in S is greater than k. This problem has applications to placing facilities in a network. In the current paper we present a self-stabilizing algorithm for computing a maximal k-packing in a general graph. Our algorithm uses a constant number of variables per node. This improves the memory requirement compared to the previous most memory efficient algorithm [9] which used k variables per node. In addition the presented algorithm is very short and simple.