A note on the computational complexity of bracketing and related problems

  • Mirko Křivánek
Chapter 3 Algorithmics
Part of the Lecture Notes in Computer Science book series (LNCS, volume 381)


It is shown that the problem of finding the minimum number of bracketing transfers in order to transform one bracketing to another bracketing is an NP-complete problem. This problem is related to problems on random walks, planar triangulations of convex polygons and to the problem of comparison of two (labeled) rooted trees. The latter problem is studied with the connection to cluster analysis. Finally, some polynomially solvable classes of bracketing problems are obtained.


Rooted Tree Convex Polygon Planar Triangulation Solvable Classis Binary Rooted Tree 
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Copyright information

© Springer-Verlag Berlin Heidelberg 1989

Authors and Affiliations

  • Mirko Křivánek
    • 1
  1. 1.Department of Computer ScienceCharles UniversityPraha 1

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