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Compact Routing Tables for Graphs of Bounded Genus (Extended Abstract)

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Automata, Languages and Programming

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 1644))

Abstract

For planar graphs on n nodes we show how to construct in linear time shortest path routing tables that require 8n + o(n) bits per node, and O(log2+∈n) bit-operations per node to extract the route, with constant ∈ > 0. We generalize the result for every graph of bounded crossing-edge number. We also extend our result to any graph of genus bounded by γ, by building shortest path routing tables of n log (γ + 1)+ O(n) bits per node, and with O(log2+∈n) bit-operations per node to extract the route. This result is obtained by the use of dominating sets, compact coding of non-crossing partitions, and k-page representation of graphs.

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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 & Nicolas Hanusse

Authors
  1. Cyril Gavoille
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  2. Nicolas Hanusse
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Editors and Affiliations

  1. Institute for Computer Science, Academy of Sciences of the Czech Republic, Pod vodarenskou vezi 2, 182 07, Prague 8 - Liben, Czech Republic

    Jirí Wiedermann

  2. ILLC-WINS-University of Amsterdam, Plantage Muidergracht 24, 1018, TV, Amsterdam, The Netherlands

    Peter van Emde Boas

  3. BRICS, Department of Computer Science, University of Aarhus, Ny Munkegade, Bldg. 540, DK, 8000, Aarhus C, Denmark

    Mogens Nielsen

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© 1999 Springer-Verlag Berlin Heidelberg

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Gavoille, C., Hanusse, N. (1999). Compact Routing Tables for Graphs of Bounded Genus (Extended Abstract). In: Wiedermann, J., van Emde Boas, P., Nielsen, M. (eds) Automata, Languages and Programming. Lecture Notes in Computer Science, vol 1644. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-48523-6_32

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  • DOI: https://doi.org/10.1007/3-540-48523-6_32

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66224-2

  • Online ISBN: 978-3-540-48523-0

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