Approximation Algorithms for the Largest Common Subtree Problem.

  • Authors:
  • Sanjeev Khanna;Rajeev Motwani;Frances F. Yao

  • Affiliations:
  • -;-;-

  • Venue:
  • Approximation Algorithms for the Largest Common Subtree Problem.
  • Year:
  • 1995

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Abstract

The largest common subtree problem is to find a largest subtree which occurs as a common subgraph in a given collection of trees. We show that in case of bounded degree trees, we can achieve an approximation ratio of O(( n*loglog n ) / log^{2} n). In case of unbounded degree nodes, we give an algorithm with approximation ratio O(( n*(loglog n)^{2}) / log^{2} n) when the trees are unlabeled. An approximation ratio of O(( n*(loglog n)^{2} ) / log^{2} n) is also achieved for the case of labeled unbounded degree trees provided the number of distinct labels is O(log^{O(1)} n).