Combinatorics of Finite Words and Suffix Automata

  • Authors:
  • Gabriele Fici

  • Affiliations:
  • Dipartimento di Informatica e Applicazioni, Università di Salerno, Italy

  • Venue:
  • CAI '09 Proceedings of the 3rd International Conference on Algebraic Informatics
  • Year:
  • 2009

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Abstract

The suffix automaton of a finite word is the minimal deterministic automaton accepting the language of its suffixes. The states of the suffix automaton are the classes of an equivalence relation defined on the set of factors. We explore the relationship between the combinatorial properties of a finite word and the structural properties of its suffix automaton. We give formulas for expressing the total number of states and the total number of edges of the suffix automaton in terms of special factors of the word.