Optimal mappings with minimum number of connected components in tree-to-tree comparison problems

  • Authors:
  • Pascal Ferraro;Christophe Godin

  • Affiliations:
  • Université Bordeaux-1, LaBRI, 351, Cours de la Libération, 33405 Talence cedex, France;UMR Cirad/Inra/Cnrs AMAP, TA40/PSII, Bd de la Lironde, 34398 Montpellier cedex 5, France

  • Venue:
  • Journal of Algorithms
  • Year:
  • 2003

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Abstract

In this paper we consider the problem of finding a minimum cost mapping between two unordered trees which induces a graph with a minimum number of connected components. The proposed algorithm is based on the generalization of an algorithm for computing an edit distance between trees, and it solves the stated problem in sequential time precisely in O(|T1| × |T2| × (degT1 + deg T2) × log2 (deg T1 + deg T2)).