2 papers
math-ph2020
Functional Relations on Anisotropic Potts Models: from Biggs Formula to the Tetrahedron Equation
Boris Bychkov, Anton Kazakov, Dmitry Talalaev
We explore several types of functional relations on the family of multivariate Tutte polynomials: the Biggs formula and the star-triangle () transformation at the critical poi…
math.CO2019
Combinatorics of Bousquet-Mélou-Schaeffer numbers in the light of topological recursion
Boris Bychkov, Petr Dunin-Barkowski, Sergey Shadrin
In this paper we prove, in a purely combinatorial way, a structural quasi-polynomiality property for the Bousquet-Mélou-Schaeffer numbers. Conjecturally, this property should follo…