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Deterministic Sparse Suffix Sorting on Rewritable Texts

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LATIN 2016: Theoretical Informatics (LATIN 2016)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 9644))

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Abstract

Given a rewritable text T of length n on an alphabet of size \(\sigma \), we propose an online algorithm computing the sparse suffix array and the sparse longest common prefix array of T in \(\mathop {}\mathopen {}\mathcal {O}\mathopen {}\left( c \sqrt{\lg n} \right. + \left. m \lg m \lg n \lg ^* n\right) \) time by using the text space and \(\mathop {}\mathopen {}\mathcal {O}\mathopen {}\left( m\right) \) additional working space, where \(m \le n\) is the number of suffixes to be sorted (provided online and arbitrarily), and \(c \ge m\) is the number of characters that must be compared for distinguishing the designated suffixes.

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Notes

  1. 1.

    The original version prefers the left meta-block, but we change it for a more stable behavior.

  2. 2.

    The check is relaxed since nodes with different surnames cannot have the same name.

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Authors and Affiliations

  1. Department of Computer Science, TU Dortmund, Dortmund, Germany

    Johannes Fischer, Tomohiro I. & Dominik Köppl

Authors
  1. Johannes Fischer
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  2. Tomohiro I.
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  3. Dominik Köppl
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Corresponding author

Correspondence to Dominik Köppl .

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Editors and Affiliations

  1. Carleton University, Ottawa, ON, Ontario, Canada

    Evangelos Kranakis

  2. University Chile, Santiago, Chile

    Gonzalo Navarro

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Fischer, J., I., T., Köppl, D. (2016). Deterministic Sparse Suffix Sorting on Rewritable Texts. In: Kranakis, E., Navarro, G., Chávez, E. (eds) LATIN 2016: Theoretical Informatics. LATIN 2016. Lecture Notes in Computer Science(), vol 9644. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-49529-2_36

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  • DOI: https://doi.org/10.1007/978-3-662-49529-2_36

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