We calculate Jones polynomials VL(t) for several families of alternating knots and links by computing the Tutte polynomials T(G,x,y) for the associated graphs G and then obtaining VL(t) as a special case of the Tutte polynomial. For each of these families we determine the zeros of the Jones polynomial, including the accumulation set in the limit of infinitely many crossings. A discussion is also given of the calculation of Jones polynomials for non-alternating links.
|頁（從 - 到）||196-218|
|期刊||Physica A: Statistical Mechanics and its Applications|
|出版狀態||Published - 2001 12月 1|
All Science Journal Classification (ASJC) codes