On the HOMFLY and Tutte polynomials

Mathematics – Combinatorics

Scientific paper

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This paper has been withdrawn due to an error in Lemma 8

Scientific paper

A celebrated result of F. Jaeger states that the Tutte polynomial of a planar graph is determined by the HOMFLY polynomial of an associated link. Here we are interested in the converse of this result. We consider the question `to what extent does the Tutte polynomial determine the HOMFLY polynomial of any knot?' We show that the HOMFLY polynomial of a knot is determined by Tutte polynomials of plane graphs associated to the knot.

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