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On the analysis of grid structures for spatial objects of non-zero size

  • Graphs, Geometry And Data Structures
  • Conference paper
  • First Online:
Graph-Theoretic Concepts in Computer Science (WG 1987)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 314))

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Abstract

We analyze the multilayer paradigm, a general principle for transforming index structures for points into index structures for non-zero size objects. For a specific multilayer grid structure, we perform a worst case analysis. A first step towards an average case analysis of grid structures is presented, where random intervals in a randomly divided data space are investigated.

This work has been supported by DFG grants Si 374/1-1 and Wi 810/2-1.

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Author information

Authors and Affiliations

  1. Fernuniversität Hagen, Postfach 940, 5800, Hagen, West Germany

    Thomas Rottke, Hans-Werner Six & Peter Widmayer

  2. Universität Karlsruhe, Postfach 6980, 7500, Karlsruhe, West Germany

    Thomas Rottke, Hans-Werner Six & Peter Widmayer

Authors
  1. Thomas Rottke
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  2. Hans-Werner Six
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  3. Peter Widmayer
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Editor information

Herbert Göttler Hana-Jürgen Schneider

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© 1988 Springer-Verlag Berlin Heidelberg

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Rottke, T., Six, HW., Widmayer, P. (1988). On the analysis of grid structures for spatial objects of non-zero size. In: Göttler, H., Schneider, HJ. (eds) Graph-Theoretic Concepts in Computer Science. WG 1987. Lecture Notes in Computer Science, vol 314. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-19422-3_8

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  • DOI: https://doi.org/10.1007/3-540-19422-3_8

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-19422-4

  • Online ISBN: 978-3-540-39264-4

  • eBook Packages: Springer Book Archive

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