Distributed almost exact approximations for minor-closed families

  • 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:
  • ESA'06 Proceedings of the 14th conference on Annual European Symposium - Volume 14
  • Year:
  • 2006

Quantified Score

Hi-index 0.00

Visualization

Abstract

We give efficient deterministic distributed algorithms which given a graph G from a proper minor-closed family C find an approximation of a minimum dominating set in G and a minimum connected dominating set in G. The algorithms are deterministic and run in a poly-logarithmic number of rounds. The approximation accomplished differs from an optimal by a multiplicative factor of (1+o(1)).