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Graph Reconstruction via Distance Oracles

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Automata, Languages, and Programming (ICALP 2013)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 7965))

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Abstract

We study the problem of reconstructing a hidden graph given access to a distance oracle. We design randomized algorithms for the following problems: reconstruction of a degree bounded graph with query complexity \(\tilde{O}(n^{3/2})\); reconstruction of a degree bounded outerplanar graph with query complexity \(\tilde{O}(n)\); and near-optimal approximate reconstruction of a general graph.

Full version available at http://arxiv.org/abs/1304.6588

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Author information

Authors and Affiliations

  1. Département d’Informatique UMR CNRS 8548, École Normale Supérieure, Paris, France

    Claire Mathieu & Hang Zhou

Authors
  1. Claire Mathieu
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  2. Hang Zhou
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Editor information

Editors and Affiliations

  1. Department of Informatics, University of Bergen, Postboks 7803, 5020, Bergen, Norway

    Fedor V. Fomin

  2. Faculty of Computing, University of Latvia, Raina bulv. 19, 1586, Riga, Latvia

    Rūsiņš Freivalds

  3. Department of Computer Science, University of Oxford, Wolfson Building, Parks Road, OX1 3QD, Oxford, UK

    Marta Kwiatkowska

  4. Faculty of Mathematics and Computer Science, Weizmann Institute of Science, POB 26, 76100, Rehovot, Israel

    David Peleg

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Mathieu, C., Zhou, H. (2013). Graph Reconstruction via Distance Oracles. In: Fomin, F.V., Freivalds, R., Kwiatkowska, M., Peleg, D. (eds) Automata, Languages, and Programming. ICALP 2013. Lecture Notes in Computer Science, vol 7965. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-39206-1_62

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  • DOI: https://doi.org/10.1007/978-3-642-39206-1_62

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-39205-4

  • Online ISBN: 978-3-642-39206-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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