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Approximate Distance Labeling Schemes

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Algorithms — ESA 2001 (ESA 2001)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2161))

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Abstract

We consider the problem of labeling the nodes of an n-node graph G with short labels in such a way that the distance between any two nodes u,v of G can be approximated efficiently (in constanttime) by merely inspecting the labels of u and v, without using any other information. We develop such constant approximate distance labeling schemes for the classes of trees, bounded treewidth graphs, planar graphs, k-chordal graphs, and graphs with a dominating pair (including for instance interval, permutation, and AT-free graphs). We also establish lower bounds, and prove that most of our schemes are optimal in terms of the length of the labels generated and the quality of the approximation.

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Author information

Authors and Affiliations

  1. LaBRI, Université Bordeaux I, 351, cours de la Libération, 33405, Talence Cedex, France

    Cyril Gavoille & Christophe Paul

  2. Dept. of Applied Mathematics, Bar Ilan University, Ramat Gan, 52900, Israel

    Michal Katz & Nir A. Katz

  3. Dept. of Computer Science and Applied Mathematics, The Weizmann Institute of Science, Rehovot, 76100, Israel

    David Peleg

Authors
  1. Cyril Gavoille
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  2. Michal Katz
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  3. Nir A. Katz
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  4. Christophe Paul
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  5. David Peleg
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Editor information

Editors and Affiliations

  1. Department of Mathematics and Computer Science and Heinz Nixdorf Institute, Paderborn University, 33095, Paderborn, Germany

    Friedhelm Meyer auf der Heide

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© 2001 Springer-Verlag Berlin Heidelberg

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Gavoille, C., Katz, M., Katz, N.A., Paul, C., Peleg, D. (2001). Approximate Distance Labeling Schemes. In: auf der Heide, F.M. (eds) Algorithms — ESA 2001. ESA 2001. Lecture Notes in Computer Science, vol 2161. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-44676-1_40

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  • DOI: https://doi.org/10.1007/3-540-44676-1_40

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-42493-2

  • Online ISBN: 978-3-540-44676-7

  • eBook Packages: Springer Book Archive

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