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Distributed Largest-First Algorithm for Graph Coloring

  • Jennie Hansen
  • Marek Kubale
  • Łukasz Kuszner
  • Adam Nadolski
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3149)

Abstract

In the paper we present a distributed probabilistic algorithm for coloring the vertices of a graph. Since this algorithm resembles a largest-first strategy, we call it the distributed LF (DLF) algorithm. The coloring obtained by DLF is optimal or near optimal for numerous classes of graphs e.g. complete k-partite, caterpillars, crowns, bipartite wheels. We also show that DLF runs in O2 log n) rounds for an arbitrary graph, where n is the number of vertices and Δ denotes the largest vertex degree.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Jennie Hansen
    • 1
  • Marek Kubale
    • 2
  • Łukasz Kuszner
    • 2
  • Adam Nadolski
    • 2
  1. 1.Department of Actuarial Mathematics and StatisticsHeriot-Watt UniversityEdinburghUK
  2. 2.Department of Algorithms and System ModelingGdańsk University of TechnologyGdańskPoland

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