Primitive partial words

  • Authors:
  • F. Blanchet-Sadri

  • Affiliations:
  • Department of Mathematical Sciences, University of North Carolina, P.O. Box 26170, Greensboro, NC 27402-6170, USA

  • Venue:
  • Discrete Applied Mathematics
  • Year:
  • 2005

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Abstract

Primitive words, or strings over a finite alphabet that cannot be written as a power of another string, play an important role in formal language theory, coding theory, and combinatorics on words to name a few. In this paper, we extend some fundamental results about primitive words to primitive partial words. Partial words are strings that may have a number of ''do not know'' symbols.