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Parallel and on-line graph coloring algorithms

  • MagnÚs M. Halldórsson
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 650)

Abstract

We discover a surprising connection between graph coloring algorithms in two orthogonal paradigms: parallel and on-line computing. We present a randomized on-line coloring algorithm with a performance guarantee of O(n/log n), an improvement of √log n factor. Also, from the same principle, we construct a parallel coloring algorithm with the same performance guarantee, for the first such result. Finally, we show how to apply the parallel algorithm to obtain an \(\mathcal{N}\mathcal{C}\) approximation algorithm for the independent set problem.

Keywords

Chromatic Number Performance Guarantee Color Class Coloring Algorithm Pivot Node 
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 1992

Authors and Affiliations

  • MagnÚs M. Halldórsson
    • 1
  1. 1.Japan Advanced Institute of Science and TechnologyIshikawaJapan

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