Pattern Matching for Arc-Annotated Sequences

  • Authors:
  • Jens Gramm;Jiong Guo;Rolf Niedermeier

  • Affiliations:
  • -;-;-

  • Venue:
  • FST TCS '02 Proceedings of the 22nd Conference Kanpur on Foundations of Software Technology and Theoretical Computer Science
  • Year:
  • 2002

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Abstract

A study of pattern matching for arc-annotated sequences is started. An O(nm) time algorithm is given to determine whether a length m sequence with nested arc annotations is an arc-preserving subsequence of a length n sequence with nested arc annotations, called APS(NESTED,NESTED). Arc-annotated sequences and, in particular, those with nested arc structure are motivated by applications in RNA structure comparison. Our algorithm can be used to accelerate a recent fixed-parameter algorithm for LAPCS(NESTED,NESTED) and generalizes results for ordered tree inclusion problems. In particular, the presented dynamic programming methodology implies a quadratic time algorithm for an open problem posed by Vialette.