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Annual Symposium on Theoretical Aspects of Computer Science

STACS 2003: STACS 2003 pp 511–522Cite as

Finding Large Independent Sets in Polynomial Expected Time

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

Abstract

We consider instances of the maximum independent set problem that are constructed according to the following semirandom model. First, let G n,p be a random graph, and let S be a set consisting of k vertices, chosen uniformly at random. Then, let G 0 be the graph obtained by deleting all edges connecting two vertices in S. Adding to G 0 further edges that do not connect two vertices in S, an adversary completes the instance G = G. n,p,k . We propose an algorithm that in the case k ≥C(n/p) 1/2 on input G within polynomial expected time finds an independent set of size ≥ k.

Research supported by the Deutsche Forschungsgemeinschaft (grant DFG FOR 413/1-1)

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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

Authors
  1. Amin Coja-Oghlan
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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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Coja-Oghlan, A. (2003). Finding Large Independent Sets in Polynomial Expected 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_45

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  • DOI: https://doi.org/10.1007/3-540-36494-3_45

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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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