3 papers
math.CO2026
High genus one part monotone Hurwitz numbers
Simon Barazer, Baptiste Louf
We obtain bivariate asymptotics for one part monotone Hurwitz numbers in high genus (i.e. as both the size and the genus go to infinity). To do so, we start with a linear recurrenc…
math.CO2026
Slit-slide-sew bijections for oriented planar maps
Jérémie Bettinelli, Ãric Fusy, Baptiste Louf
We construct growth bijections for bipolar oriented planar maps and for Schnyder woods. These give direct combinatorial proofs of several counting identities for these objects. Our…
math.CO2025
The Ising model on cubic maps: arbitrary genus
Mireille Bousquet-Mélou, Ariane Carrance, Baptiste Louf
We design a recursive algorithm to compute the partition function of the Ising model, summed over cubic maps with fixed size and genus. The algorithm runs in polynomial time, which…