On Fine and Wilf's theorem for bidimensional words

  • Authors:
  • Filippo Mignosi;Antonio Restivo;Pedro V. Silva

  • Affiliations:
  • Dipartimento di Matematica ed Applicazioni, Università degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy;Dipartimento di Matematica ed Applicazioni, Università degli Studi di Palermo, Via Archirafi 34, 90123 Palermo, Italy;Centro de Matemática, Faculdade de Ciências, Universidade do Porto, 4099-002 Porto, Portugal

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2003

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Abstract

Generalizations of Fine and Wilf's Periodicity Theorem are obtained for the case of bidimensional words using geometric arguments. The domains considered constitute a large class of convex subsets of R2 which include most parallelograms. A complete discussion is provided for the parallelogram case.