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.
|Number of pages||23|
|Journal||Physica A: Statistical Mechanics and its Applications|
|Publication status||Published - 2001 Dec 1|
All Science Journal Classification (ASJC) codes
- Statistics and Probability
- Condensed Matter Physics