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Range Quantile Queries: Another Virtue of Wavelet Trees

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String Processing and Information Retrieval (SPIRE 2009)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 5721))

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Abstract

We show how to use a balanced wavelet tree as a data structure that stores a list of numbers and supports efficient range quantile queries. A range quantile query takes a rank and the endpoints of a sublist and returns the number with that rank in that sublist. For example, if the rank is half the sublist’s length, then the query returns the sublist’s median. We also show how these queries can be used to support space-efficient coloured range reporting and document listing.

This work was supported by the Sofja Kovalevskaja Award from the Alexander von Humboldt Foundation and the German Federal Ministry of Education and Research and by the Australian Research Council.

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Author information

Authors and Affiliations

  1. Research Group for Combinatorial Algorithms in Bioinformatics, Bielefeld University, Germany

    Travis Gagie

  2. School of Computer Science and Information Technology, Royal Melbourne Institute of Technology, Australia

    Simon J. Puglisi & Andrew Turpin

Authors
  1. Travis Gagie
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  2. Simon J. Puglisi
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  3. Andrew Turpin
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Editor information

Editors and Affiliations

  1. Swedish Institute of Computer Science, Kista, Sweden

    Jussi Karlgren

  2. Department of Computer Science and Engineering, Helsinki University of Technology, P.O. Box 5400, 02015 HUT, Espoo, Finland

    Jorma Tarhio

  3. Department of Computer Sciences, University of Tampere, Tampere, Finland

    Heikki Hyyrö

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© 2009 Springer-Verlag Berlin Heidelberg

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Gagie, T., Puglisi, S.J., Turpin, A. (2009). Range Quantile Queries: Another Virtue of Wavelet Trees . In: Karlgren, J., Tarhio, J., Hyyrö, H. (eds) String Processing and Information Retrieval. SPIRE 2009. Lecture Notes in Computer Science, vol 5721. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03784-9_1

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  • DOI: https://doi.org/10.1007/978-3-642-03784-9_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-03783-2

  • Online ISBN: 978-3-642-03784-9

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