Pattern matching with address errors: rearrangement distances

  • Authors:
  • Amihood Amir;Yonatan Aumann;Gary Benson;Avivit Levy;Ohad Lipsky;Ely Porat;Steven Skiena;Uzi Vishne

  • Affiliations:
  • Bar Ilan University, Israel;Bar Ilan University, Israel;Boston University, Boston, MA;Bar Ilan University, Israel;Bar Ilan University, Israel;Bar Ilan University, Israel;State University of New York, NY;Bar Ilan University, Israel

  • Venue:
  • SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
  • Year:
  • 2006

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Abstract

Historically, approximate pattern matching has mainly focused at coping with errors in the data, while the order of the text/pattern was assumed to be more or less correct. In this paper we consider a class of pattern matching problems where the content is assumed to be correct, while the locations may have shifted/changed. We formally define a broad class of problems of this type, capturing situations in which the pattern is obtained from the text by a sequence of rearrangements. We consider several natural rearrangement schemes, including the analogues of the l1 and l2 distances, as well as two distances based on interchanges. For these, we present efficient algorithms to solve the resulting string matching problems.