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Swap and Mismatch Edit Distance

  • Amihood Amir
  • Estrella Eisenberg
  • Ely Porat
Conference paper
Part of the Lecture Notes in Computer Science book series (LNCS, volume 3221)

Abstract

There is no known algorithm that solves the general case of approximate string matching problem with the extended edit distance, where the edit operations are: insertion, deletion, mismatch, and swap, in time o(nm), where n is the length of the text and m is the length of the pattern.

In the effort to study this problem, the edit operations where analysed independently. It turns out that the approximate matching problem with only the mismatch operation can be solved in time \(O(n\sqrt{m \log m})\). If the only edit operation allowed is the swap, then the problem can be solved in time O(n log mlog σ), where σ = min(m,|Σ|).

In this paper we show that the approximate string matching problem with the swap and mismatch as the edit operations, can be computed in time \(O(n\sqrt{m \log m})\).

Keywords

Edit Distance Polynomial Multiplication String Match Edit Operation Text Segment 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • Amihood Amir
    • 1
    • 2
  • Estrella Eisenberg
    • 1
  • Ely Porat
    • 1
  1. 1.Department of Computer ScienceBar-Ilan UniversityRamat-GanIsrael
  2. 2.Georgia Tech 

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