3 papers
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
A model of trees for 5-connected planar triangulations
Ãric Fusy
Triangulations of the 5-gon with no separating triangle nor quadrangle, so called 5c-triangulations, are a planar map family closely related to 5-connected planar triangulations. W…
math.CO2024
Grand Schnyder Woods
Olivier Bernardi, Ãric Fusy, Shizhe Liang
We define a far-reaching generalization of Schnyder woods which encompasses many classical combinatorial structures on planar graphs. Schnyder woods are defined for planar triangul…