A note on the Markoff condition and central words

  • Glen A
  • Lauve A
  • Saliola F
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Abstract

We define Markoff words as certain factors appearing in bi-infinite words satisfying the Markoff condition. We prove that these words coincide with central words, yielding a new characterization of Christoffel words. © 2007 Elsevier B.V. All rights reserved.

Author-supplied keywords

  • Balanced words
  • Central words
  • Christoffel words
  • Combinatorial problems
  • Markoff condition
  • Palindromes

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