Tutte polynomials and link polynomials

Author:

Jaeger François

Abstract

We show how the Tutte polynomial of a plane graph can be evaluated as the "homfly" polynomial of an associated oriented link. Then we discuss some consequences for the partition function of the Potts model, the Four Color Problem and the time complexity of the computation of the homfly polynomial.

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Reference21 articles.

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3. Graph Theory with Applications

4. An enumeration of knots and links, and some of their algebraic properties;Conway, J. H.,1970

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