On the HOMFLY and Tutte polynomials
组合数学
2008-06-30 v2
摘要
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.
引用
@article{arxiv.0704.0644,
title = {On the HOMFLY and Tutte polynomials},
author = {Iain Moffatt},
journal= {arXiv preprint arXiv:0704.0644},
year = {2008}
}
备注
This paper has been withdrawn due to an error in Lemma 8