How Many Holes Can an Unbordered Partial Word Contain?

نویسندگان

  • Francine Blanchet-Sadri
  • Emily Allen
  • Cameron Byrum
  • Robert Mercas
چکیده

Partial words are sequences over a finite alphabet that may have some undefined positions, or “holes,” that are denoted by ’s. A nonempty partial word is called bordered if one of its proper prefixes is compatible with one of its suffixes (here is compatible with every letter in the alphabet); it is called unbordered otherwise. In this paper, we investigate the problem of computing the maximum number of holes a partial word of a fixed length can have and still fail to be bordered.

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تاریخ انتشار 2009