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Finding Sparse Induced Subgraphs of Semirandom Graphs

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Randomization and Approximation Techniques in Computer Science (RANDOM 2002)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2483))

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Abstract

The aim of this paper is to present an SDP-based algorithm for finding a sparse induced subgraph of order Θ(n) hidden in a semi-random graph of order n. As an application we obtain an algorithm that requires only O(n) random edges in order to k-color a semirandom k-colorable graph within polynomial expected time, thereby extending the results of Feige and Kilian [7] and of Subramanian [15].

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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Editors and Affiliations

  1. Centre Universitaire d’Informatique, University of Geneva, 24, Rue Général Dufour, 1211, Genéve 4, Switzerland

    José D. P. Rolim

  2. Harvard University, DEAS, Maxwell Dworkin 337, 33 Oxford Street, Cambridge, MA, 02138, USA

    Salil Vadhan

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Coja-Oghlan, A. (2002). Finding Sparse Induced Subgraphs of Semirandom Graphs. In: Rolim, J.D.P., Vadhan, S. (eds) Randomization and Approximation Techniques in Computer Science. RANDOM 2002. Lecture Notes in Computer Science, vol 2483. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-45726-7_12

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  • DOI: https://doi.org/10.1007/3-540-45726-7_12

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-44147-2

  • Online ISBN: 978-3-540-45726-8

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