抄録
We propose a fast algorithm for computing Jones polynomials of Montesinos
links. The Jones polynomial is a useful invariant and Montesinos links are
one of the fundamental classes in knot theory. Given the Tait graph of a Montesinos
diagram with n edges, our algorithm runs with O(n) additions and multiplications in
polynomials of degree O(n), namely in O(n2 log n) time.