Indexing structures for approximate string matching

  • Authors:
  • Alessandra Gabriele;Filippo Mignosi;Antonio Restivo;Marinella Sciortino

  • Affiliations:
  • Dipartimento di Matematica ed Applicazioni, Università degli Studi di Palermo, Palermo, Italy;Dipartimento di Matematica ed Applicazioni, Università degli Studi di Palermo, Palermo, Italy;Dipartimento di Matematica ed Applicazioni, Università degli Studi di Palermo, Palermo, Italy;Dipartimento di Matematica ed Applicazioni, Università degli Studi di Palermo, Palermo, Italy

  • Venue:
  • CIAC'03 Proceedings of the 5th Italian conference on Algorithms and complexity
  • Year:
  • 2003

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Abstract

In this paper we give the first, to our knowledge, structures and corresponding algorithms for approximate indexing, by considering the Hamming distance, having the following properties. i) Their size is linear times a polylog of the size of the text on average. ii) For each pattern x, the time spent by our algorithms for finding the list occ(x) of all occurrences of a pattern x in the text, up to a certain distance, is proportional on average to |x| + |occ(x)|, under an additional but realistic hypothesis.