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Randomised Approximation in the Tutte Plane

Published online by Cambridge University Press:  12 September 2008

D. J. A. Welsh
D. J. A. Welsh
Affiliation:
Mathematical Institute and Merton College, University of Oxford
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Abstract

It is shown that unless NP collapses to random polynomial time RP, there can be no fully polynomial randomised approximation scheme for the antiferromagnetic version of the Q-state Potts model.

Information

Type
Research Article
Information
Combinatorics, Probability and Computing , Volume 3 , Issue 1 , March 1994 , pp. 137 - 143
Copyright
Copyright © Cambridge University Press 1994

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References

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[5]Vertigan, D. L. and Welsh, D. J. A. (1992) The computational complexity of the Tutte plane: the bipartite case. Combinatorics, Probability and Computing 1, 181–187.Google Scholar
[6]Welsh, D. J. A. (1993) Complexity: Knots Colourings and Counting. London Mathematical Society Lecture Note Series 186, Cambridge University Press.Google Scholar