Conjugacy on partial words

  • Authors:
  • F. Blanchet-Sadri;D. K. Luhmann

  • Affiliations:
  • Department of Mathematical Sciences, University of North Carolina, P.O. Box 26170, Greensboro, NC;Department of Mathematical Sciences, University of North Carolina, P.O. Box 26170, Greensboro, NC

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2002

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Abstract

The study of the combinatorial properties of strings of symbols from a finite alphabet (also referred to as words) is profoundly connected to numerous fields such as biology, computer science, mathematics, and physics. In this paper, we examine to which extent some fundamental combinatorial properties of words, such as conjugacy, remain true for partial words. The motivation behind the notion of a partial word is the comparison of two genes (alignment of two such strings can be viewed as a construction of two partial words that are said to be compatible). This study on partial words was initiated by Berstel and Boasson.