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math.GT2006★ 162 cited
The Jones polynomial and graphs on surfaces
Oliver T. Dasbach, David Futer, Efstratia Kalfagianni +2
The Jones polynomial of an alternating link is a certain specialization of the Tutte polynomial of the (planar) checkerboard graph associated to an alternating projection of the li…
math.GT2006★ 1 cited
On the Head and the Tail of the Colored Jones Polynomial
Oliver T. Dasbach, Xiao-Song Lin
The colored Jones polynomial is a series of one variable Laurent polynomials J(K,n) associated with a knot K in 3-space. We will show that for an alternating knot K the absolute va…