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Text Indexing with Errors

  • Conference paper
Combinatorial Pattern Matching (CPM 2005)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 3537))

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Abstract

In this paper we address the problem of constructing an index for a text document or a collection of documents to answer various questions about the occurrences of a pattern when allowing a constant number of errors. In particular, our index can be built to report all occurrences, all positions, or all documents where a pattern occurs in time linear in the size of the query string and the number of results. This improves over previous work where the lookup time is not linear or depends upon the size of the document corpus. Our data structure has size \(O\left(n\log^k n\right)\) on average and with high probability for input size n and queries with up to k errors. Additionally, we present a trade-off between query time and index complexity that achieves worst-case bounded index size and preprocessing time with linear lookup time on average.

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Author information

Authors and Affiliations

  1. Fakultät für Informatik, Technische Universität München, Boltzmannstraße 3, D-85748, Garching, Germany

    Moritz G. Maaß & Johannes Nowak

Authors
  1. Moritz G. Maaß
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  2. Johannes Nowak
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Editor information

Editors and Affiliations

  1. Georgia Institute of Technology and Università di Padova,  

    Alberto Apostolico

  2. Université Paris-Est, France

    Maxime Crochemore

  3. School of Computer Science and Engineering, Seoul National University, 151-742, Seoul, Korea

    Kunsoo Park

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© 2005 Springer-Verlag Berlin Heidelberg

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Maaß, M.G., Nowak, J. (2005). Text Indexing with Errors. In: Apostolico, A., Crochemore, M., Park, K. (eds) Combinatorial Pattern Matching. CPM 2005. Lecture Notes in Computer Science, vol 3537. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11496656_3

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  • DOI: https://doi.org/10.1007/11496656_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-26201-5

  • Online ISBN: 978-3-540-31562-9

  • eBook Packages: Computer ScienceComputer Science (R0)

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