@techreport{oai:kanazawa-u.repo.nii.ac.jp:00011969, month = {May}, note = {We consider the Tutte polynomial for the graph associated to the (2, 2k + 1) torus and twist knot. Up to a sign and multiplication by a power of t the Jones polynomial VL(t) of an al-ternating link L is equal to the Tutte polynomial χ(G; −t, −t−1 ). Therefore, the Jones polynomial could be calculated by using the Tutte polynomial for (2, 2k + 1) torus and twist knot. The Jones polynomial has a vanishing term if the knot is a (2, 2k + 1) torus knot, but there is no vanishing term if the knot is a twist knot. We look for graphs which the associated with 3-tuple of pretzel link have non-vanishing terms in the Jones polynomial. The term Jones polynomial is proven to be non-vanishing by calculated the Tutte polynomial of the given graph., Selected Papers from the International Symposium on Computational Science - International Symposium on Computational Science Kanazawa University, Japan}, title = {Non-vanishing Terms of the Jones Polynomial}, year = {2015} }