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Distributed Soft Path Coloring

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STACS 2003 (STACS 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2607))

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Abstract

In a soft coloring of a graph, a few adjacent vertices may receive the same color. We study soft coloring in the distributed model where vertices are processing units and edges are communication links. We aim at reducing coloring confiicts as quickly as possible over time by recoloring. We propose a randomized algorithm for 2-coloring the path with optimal decrease rate. Confiicts can be reduced exponentially faster if extra colors are allowed. We generalize the results to a broader class of locally checkable labeling problems on enhanced paths. A single result for grid coloring is also presented.

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Author information

Authors and Affiliations

  1. Computing Sciences, Chalmers University, 41296, Göteborg, Sweden

    Peter Damaschke

Authors
  1. Peter Damaschke
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Editor information

Editors and Affiliations

  1. Institut für Informatik, Freie Universität Berlin, Takusstr. 9, 14195, Berlin, Germany

    Helmut Alt

  2. LIRMM, 161, Rue Ada, 34392, Montpellier Cedex 5, France

    Michel Habib

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© 2003 Springer-Verlag Berlin Heidelberg

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Damaschke, P. (2003). Distributed Soft Path Coloring. In: Alt, H., Habib, M. (eds) STACS 2003. STACS 2003. Lecture Notes in Computer Science, vol 2607. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-36494-3_46

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  • DOI: https://doi.org/10.1007/3-540-36494-3_46

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00623-7

  • Online ISBN: 978-3-540-36494-8

  • eBook Packages: Springer Book Archive

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