Partial duality and Bollobas and Riordan's ribbon graph polynomial
Combinatorics
2012-03-01 v2
Abstract
Recently S. Chmutov introduced a generalization of the dual of a ribbon (or embedded) graph and proved a relation between Bollobas and Riordan's ribbon graph polynomial of a ribbon graph and its generalized duals. Here I show that the duality relation satisfied by the ribbon graph polynomial can be understood in terms of knot theory and I give a simple proof of the relation via the homfly polynomial of a knot.
Keywords
Cite
@article{arxiv.0809.3014,
title = {Partial duality and Bollobas and Riordan's ribbon graph polynomial},
author = {Iain Moffatt},
journal= {arXiv preprint arXiv:0809.3014},
year = {2012}
}