The Homfly Polynomial for Even Polyhedral Links

In this paper, a general approach is presented to compute the Homfly polynomials of even polyhedral links formed from a polyhedron by ‘ n-branched curve and 2 ktwisted double-line covering’. We show that Homfly polynomials of the whole family of even polyhedral links can be obtained from the Tutte polynomial of the 1-skeleton of the polyhedron by special parametrizations As applications, by using computer algebra (Maple) techniques, Homfly polynomials of even Platonic polyhedral links are calculated.