Border array on bounded alphabet

  • Authors:
  • Jean-Pierre Duval;Thierry Lecroq;Arnaud Lefebvre

  • Affiliations:
  • LIFAR - ABISS, Université de Rouen, Mont-Saint-Aignan Cedex, France;LIFAR - ABISS, Université de Rouen, Mont-Saint-Aignan Cedex, France;LIFAR - ABISS, Université de Rouen, Mont-Saint-Aignan Cedex, France

  • Venue:
  • Journal of Automata, Languages and Combinatorics
  • Year:
  • 2005

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Abstract

In this article we present an on-line linear time algorithm, to check if an integer array f is a border array of some string x built on a bounded size alphabet, which is simpler than the one given in [2]. Furthermore if f is a border array we are able to build, on-line and in linear time, a string x on a minimal size alphabet for which f is the border array. The reader can refer to the URL http://al.jalix.org/Baba/Applet/to run the algorithm on his own examples.