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math.COAug 9, 2013
authors
  • Serina Camungol
  • Narad Rampersad
arXiv abstractPDF
paper

Concerning Kurosaki's squarefree word

arXiv:1308.2163

Abstract

In 2008, Kurosaki gave a new construction of a (bi-)infinite squarefree word over three letters. We show that in fact Kurosaki's word avoids 7/4+-powers, which, as shown by Dejean, is optimal over a 3-letter alphabet.

References in corpus (2)

  • Automatic Theorem-Proving in Combinatorics on Words
  • Direct definition of a ternary infinite square-free sequence
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