Distributed approximations for packing in unit-disk graphs

  • Authors:
  • Andrzej Czygrinow;Michał Hańćkowiak

  • Affiliations:
  • Department of Mathematics and Statistics, Arizona State University, Tempe, AZ;Faculty of Mathematics and Computer Science, Adam Mickiewicz University, Poznań, Poland

  • Venue:
  • DISC'07 Proceedings of the 21st international conference on Distributed Computing
  • Year:
  • 2007

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Abstract

We give a distributed approximation algorithm for the vertexpacking problemin unit-disk graphs. Given a graph H, the algorithm finds in a unit-disk graph G a collection of pairwise disjoint copies of H of size which is approximately equal to the packing number of H in G. The algorithm is deterministic and runs in a poly-logarithmic number of rounds in the message passing model.