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Counting Unlabelled Subtrees of a Tree is #P-complete

Published online by Cambridge University Press:  01 February 2010

Leslie Ann Goldberg  and
Mark Jerrum
Leslie Ann Goldberg
Affiliation:
Department of Computer Science, University of Warwick, Coventry, CV4 7AL, leslie@dcs.warwick.ac.uk, http://www.dcs.warwick.ac.uk/~leslie/
Mark Jerrum
Affiliation:
Department of Computer Science, University of Edinburgh, The King's Buildings, Edinburgh EH9 3JZ, mrj@dcs.ed.ac.uk, http://www.dcs.ed.ac.uk/~mrj/

Abstract

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The 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.

Type
Research Article
Information
LMS Journal of Computation and Mathematics , Volume 3 , 2000 , pp. 117 - 124
Copyright
Copyright © London Mathematical Society 2000

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