Note: Complexity and palindromic defect of infinite words

  • Authors:
  • S. Brlek;C. Reutenauer

  • Affiliations:
  • -;-

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2011

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Abstract

In this note, we state a conjecture, and prove it in the periodic case, which is an equality relating the number of factors and palindromic factors of infinite words. This equality establishes a link between two inequalities, one due to Droubay, Justin and Pirillo, and the other to Balazi, Masakova and Pelantova, by means of the palindromic defect.