The Kauffman Bracket Polynomial of Links and Universal Signed Plane Graph

摘要

In this paper we show that a list of chain polynomials of 6 graphs are sufficient to give all the chain polynomials of signed plane graphs with cyclomatic number 1 — 5 by special parametrization. Using this result the Kauffman bracket polynomials of 801 knots and 1424 links with crossing number no more than 11 can be obtained in a unify way.