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International Conference on Combinatorics on Words

WORDS 2015: Combinatorics on Words pp 135–146Cite as

Arithmetics on Suffix Arrays of Fibonacci Words

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Part of the Lecture Notes in Computer Science book series (LNTCS,volume 9304)

Abstract

We study the sequence of Fibonacci words and some of its derivatives with respect to their suffix array, inverse suffix array and Burrows-Wheeler transform based on the respective suffix array. We show that the suffix array is a rotation of its inverse under certain conditions, and that the factors of the LZ77 factorization of any Fibonacci word yield again similar characteristics.

Keywords

  • Suffix Tree
  • Suffix Array
  • Reversed Rotation
  • Common Prefix
  • Homogenous Block

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Acknowledgement

We are grateful to Gabriele Fici for helpful discussion, and to our student Sven Schrinner who discovered one rotation property while solving an exercise.

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Authors and Affiliations

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

    Dominik Köppl & Tomohiro I

Authors
  1. Dominik Köppl
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  2. Tomohiro I
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Corresponding author

Correspondence to Dominik Köppl .

Editor information

Editors and Affiliations

  1. Universität Kiel, Kiel, Germany

    Florin Manea

  2. Universität Kiel, Kiel, Germany

    Dirk Nowotka

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Köppl, D., I, T. (2015). Arithmetics on Suffix Arrays of Fibonacci Words. In: Manea, F., Nowotka, D. (eds) Combinatorics on Words. WORDS 2015. Lecture Notes in Computer Science(), vol 9304. Springer, Cham. https://doi.org/10.1007/978-3-319-23660-5_12

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  • DOI: https://doi.org/10.1007/978-3-319-23660-5_12

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