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Distributed Approximation Algorithms for Planar Graphs

  • Andrzej Czygrinow
  • Michał Hańćkowiak
  • Edyta Szymańska
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3998)

Abstract

In this paper we construct two distributed algorithms for computing approximations of a largest matching and a minimum dominating set in planar graphs on n vertices. The approximation ratio in both cases approaches one with n tending to infinity and the number of synchronous communication rounds is poly-logarithmic in n. Our algorithms are purely deterministic.

Keywords

Planar Graph Good Approximation Ratio Distribute Approximation Algorithm Star Forest Star Arboricity 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2006

Authors and Affiliations

  • Andrzej Czygrinow
    • 1
  • Michał Hańćkowiak
    • 2
  • Edyta Szymańska
    • 2
  1. 1.Department of Mathematics and StatisticsArizona State UniversityTempeUSA
  2. 2.Faculty of Mathematics and Computer ScienceAdam Mickiewicz UniversityPoznańPoland

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