Partial duality and Bollobás and Riordan's ribbon graph polynomial

Abstract

Recently S. Chmutov introduced a generalization of the dual of a ribbon graph (or equivalently an embedded graph) and proved a relation between Bollobás and Riordan’s ribbon graph polynomial of a ribbon graph and of its generalized duals. Here I show that the duality relation satisfied by the ribbon graph polynomial can be understood in terms of knot theory… (More)
DOI: 10.1016/j.disc.2009.08.008

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