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Colouring Random Graphs in Expected Polynomial Time

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STACS 2003 (STACS 2003)

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Abstract

We investigate the problem of colouring random graphs G ε G(n, p) in polynomial expected time. For the case p < 1.01/n, we present an algorithm that finds an optimal colouring in linear expected time. For suficiently large values of p, we give algorithms which approximate the chromatic number within a factor of O(√np). As a byproduct, we obtain an O(√np/ ln(np))-approximation algorithm for the independence number which runs in polynomial expected time provided p 》 ln6 n/n.

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Author information

Authors and Affiliations

  1. Institut für Informatik, Humboldt-Universität zu Berlin, Unter den Linden 6, 10099, Berlin, Germany

    Amin Coja-Oghlan & Anusch Taraz

Authors
  1. Amin Coja-Oghlan
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  2. Anusch Taraz
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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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Coja-Oghlan, A., Taraz, A. (2003). Colouring Random Graphs in Expected Polynomial Time. 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_43

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  • DOI: https://doi.org/10.1007/3-540-36494-3_43

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-00623-7

  • Online ISBN: 978-3-540-36494-8

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