Improved approximate string matching and regular expression matching on Ziv-Lempel compressed texts

  • Authors:
  • Philip Bille;Rolf Fagerberg;Inge Li Gørtz

  • Affiliations:
  • IT University of Copenhagen, Denmark;University of Southern Denmark, Odense M, Denmark;Technical University of Denmark, Lyngby, Denmark

  • Venue:
  • ACM Transactions on Algorithms (TALG)
  • Year:
  • 2009

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Abstract

We study the approximate string matching and regular expression matching problem for the case when the text to be searched is compressed with the Ziv-Lempel adaptive dictionary compression schemes. We present a time-space trade-off that leads to algorithms improving the previously known complexities for both problems. In particular, we significantly improve the space bounds, which in practical applications are likely to be a bottleneck.