4 papers
A quasi-tree expansion for the surface Tutte polynomial
Maya Thompson
The surface Tutte polynomial has recently been generalised to pseudo-surfaces equipping it with recursive deletion-contraction relations. We use these relations to show that this g…
Tensor product formulas for the Bollobás-Riordan and Krushkal polynomials
Iain Moffatt, Maya Thompson
Brylawski's tensor product formula expresses the Tutte polynomial of the tensor product of two graphs in terms of Tutte polynomials arising from the tensor factors. Analogous tenso…
Tensor products of multimatroids and a Brylawski-type formula for the transition polynomial
Iain Moffatt, Steven Noble, Maya Thompson
Brylawski's tensor product formula expresses the Tutte polynomial of the tensor product of two graphs or matroids in terms of Tutte polynomials arising from the tensor factors. Ana…
Deletion-Contraction and the Surface Tutte Polynomial
Iain Moffatt, Maya Thompson
In this paper we unify two families of topological Tutte polynomials. The first family is that coming from the surface Tutte polynomial, a polynomial that arises in the theory of l…