The LMS JCM, (3) 117-124. Published 26 Apr 2000. First received 26 Nov 1999.


Counting unlabelled subtrees of a tree is #P-complete

Leslie Ann Goldberg and Mark Jerrum



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

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