3 papers
math.CO2025
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…
math.CO2025
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…
math.CO2024
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…