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Crochemore Factorization of Sturmian and Other Infinite Words

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Mathematical Foundations of Computer Science 2006 (MFCS 2006)

Part of the book series: Lecture Notes in Computer Science ((LNTCS,volume 4162))

Abstract

The Crochemore factorization was introduced by Crochemore for the design of a linear time algorithm to detect squares in a word. We give here the explicit description of the Crochemore factorization for some classes of infinite words, namely characteristic Sturmian words, (generalized) Thue-Morse words, and the period doubling sequence.

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© 2006 Springer-Verlag Berlin Heidelberg

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Berstel, J., Savelli, A. (2006). Crochemore Factorization of Sturmian and Other Infinite Words. In: Královič, R., Urzyczyn, P. (eds) Mathematical Foundations of Computer Science 2006. MFCS 2006. Lecture Notes in Computer Science, vol 4162. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11821069_14

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  • DOI: https://doi.org/10.1007/11821069_14

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-37791-7

  • Online ISBN: 978-3-540-37793-1

  • eBook Packages: Computer ScienceComputer Science (R0)

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