Hierarchical Clustering of Trees: Algorithms and Experiments

  • Authors:
  • Irene Finocchi;Rossella Petreschi

  • Affiliations:
  • -;-

  • Venue:
  • ALENEX '01 Revised Papers from the Third International Workshop on Algorithm Engineering and Experimentation
  • Year:
  • 2001

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Abstract

We focus on the problem of experimentally evaluating the quality of hierarchical decompositions of trees with respect to criteria relevant in graph drawing applications. We suggest a new family of tree clustering algorithms based on the notion of t-divider and we empirically show the relevance of this concept as a generalization of the ideas of centroid and separator. We compare the t-divider based algorithms with two well-known clustering strategies suitably adapted to work on trees. The experiments analyze how the performances of the algorithms are affected by structural properties of the input tree, such as degree and balancing, and give insight in the choice of the algorithm to be used on a given tree instance.