A constrained edit distance algorithm between semi-ordered trees

  • Authors:
  • Aïda Ouangraoua;Pascal Ferraro

  • Affiliations:
  • LaBRI - Université de Bordeaux 1, 351 Cours de la Libération, 33405 Talence Cedex, France;LaBRI - Université de Bordeaux 1, 351 Cours de la Libération, 33405 Talence Cedex, France

  • Venue:
  • Theoretical Computer Science
  • Year:
  • 2009

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Abstract

In this paper, we propose a formal definition of a new class oftrees called semi-ordered trees and a polynomial dynamicprogramming algorithm to compute a constrained edit distancebetween such trees. The core of the method relies on a similarapproach to compare unordered [Kaizhong Zhang, A constrained editdistance between unordered labeled trees, Algorithmica 15 (1996)205-222] and ordered trees [Kaizhong Zhang, Algorithms for theconstrained editing distance between ordered labeled trees andrelated problems, Pattern Recognition 28 (3) (1995) 463-474]. Themethod is currently applied to evaluate the similarity betweenarchitectures of apple trees [Vincent Segura, Aida Ouangraoua,Pascal Ferraro, Evelyne Costes, Comparison of tree architectureusing tree edit distances: Application to two-year-old apple tree,Euphytica 161 (2007) 155-164].