A note on Sturmian words

  • Authors:
  • Dominique Perrin;Antonio Restivo

  • Affiliations:
  • Université Paris Est, France;Universita di Palermo, Italy

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2012

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Abstract

We describe an algorithm which, given a factor of a Sturmian word, computes the next factor of the same length in the lexicographic order in linear time. It is based on a combinatorial property of Sturmian words which is related with the Burrows-Wheeler transformation.