Homfly Polynomials of Two Kinds of Oriented Links Based on Plane Graphs
Xian’an Jin · Journal of Xiamen University · 2007
Given a graph,Jaeger assocated it with an oriented link,established a relation between Tutte polynomial of the graph and Homfly polynomial of the assocated oriented link.Inspired by his work,in this paper the author associates a plane graph with another two oriented links and establishes two relations between the Tutte polynomial of this graph and the Homfly polynomial of the corresponding oriented link,one of which generalizes Jaeger's result.Based on these relations,the Homfly polynomials for two families of oriented links are obtained.