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The Computational Complexity of the Tutte Plane: the Bipartite Case

Published online by Cambridge University Press:  12 September 2008

D. L. Vertigan  and
D. J. A. Welsh
D. L. Vertigan
Affiliation:
Mathematical Institute, University of Oxford, 24–29 St Giles, Oxford OX1 3LB
D. J. A. Welsh
Affiliation:
Merton College, University of Oxford, Oxford OX1 4JD and University of Bonn
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Abstract

Along different curves and at different points of the (x, y)-plane the Tutte polynomial evaluates a wide range of quantities. Some of these, such as the number of spanning trees of a graph and the partition function of the planar Ising model, can be computed in polynomial time, others are # P-hard. Here we give a complete characterisation of which points and curves are easy/hard in the bipartite case.

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 1 , Issue 2 , June 1992 , pp. 181 - 187
Copyright
Copyright © Cambridge University Press 1992

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References

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