Counting Unlabelled Subtrees of a Tree is #P-complete

Author:

Goldberg Leslie Ann,Jerrum Mark

Abstract

AbstractThe problem of counting unlabelled subtrees of a tree (that is, sub-trees that are distinct up to isomorphism) is #P-complete, and hence equivalent in computational difficulty to evaluating the permanent of a 0,1-matrix.

Publisher

Wiley

Subject

Computational Theory and Mathematics,General Mathematics

Reference12 articles.

1. Efficient Planarity Testing

2. ‘Polynomial-time 1-Turing reductions from #PH to #P’;Toda;Theoret. Comput. Set,1992

3. 3. Garey M. R. and Johnson D. S. , Computers and intractability: a guide to the theory of NP-completeness (Freeman, San Francisco, CA, 1979).

4. Complexity: Knots, Colourings and Countings

5. The complexity of harmonious colouring for trees

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