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Linear-Time Computation of Local Periods

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Mathematical Foundations of Computer Science 2003 (MFCS 2003)

Part of the book series: Lecture Notes in Computer Science ((LNCS,volume 2747))

Abstract

We present a linear-time algorithm for computing all local periods of a given word. This subsumes (but is substantially more powerful than) the computation of the (global) period of the word and on the other hand, the computation of a critical factorization, implied by the Critical Factorization Theorem.

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Author information

Authors and Affiliations

  1. LIFAR, Université de Rouen, France

    Jean-Pierre Duval

  2. Department of Computer Science, University of Liverpool, UK

    Roman Kolpakov

  3. INRIA/LORIA, Nancy, France

    Gregory Kucherov

  4. ABISS, Université de Rouen, France

    Thierry Lecroq & Arnaud Lefebvre

Authors
  1. Jean-Pierre Duval
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  2. Roman Kolpakov
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  3. Gregory Kucherov
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  4. Thierry Lecroq
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  5. Arnaud Lefebvre
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Editor information

Editors and Affiliations

  1. Department of Computer Science, Comenius University, Mlynská dolina, 842 48, Bratislava, Slovakia

    Branislav Rovan

  2. Charles University, Prague, Czech Republic

    Peter Vojtáš

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Duval, JP., Kolpakov, R., Kucherov, G., Lecroq, T., Lefebvre, A. (2003). Linear-Time Computation of Local Periods. In: Rovan, B., Vojtáš, P. (eds) Mathematical Foundations of Computer Science 2003. MFCS 2003. Lecture Notes in Computer Science, vol 2747. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45138-9_33

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  • DOI: https://doi.org/10.1007/978-3-540-45138-9_33

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-40671-6

  • Online ISBN: 978-3-540-45138-9

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