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…