if vertices x and y have n edges joining them. their tutte polynomial is
T(G with n (x,y) edges, x,y) = G with one (x.y) edge, x, y) + (y^{n-1} + y^{n - 2} + ... + y^{2} + y^{1}) T(G with (x,y) contracted and multiple (x,y) edges deleted,x,y)
the polynomial can be stacked with the graph as a value n-i and then
the final answer is multiplied by all these similar polynomials
collected in the computation of the graph. we do this final
multiplication process now but do not make sure there are no multiple
edges to be considered in any delete/contract step
Notes from Gary: