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math.CO2025
A model of trees for 5-connected planar triangulations
Éric 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.CO2019
Plane bipolar orientations and quadrant walks
Mireille Bousquet-Mélou, Éric Fusy, Kilian Raschel
Bipolar orientations of planar maps have recently attracted some interest in combinatorics, probability theory and theoretical physics. Plane bipolar orientations with edges ar…
math.CO2016
On symmetries in phylogenetic trees
Éric Fusy
Billey et al. [arXiv:1507.04976] have recently discovered a surprisingly simple formula for the number of leaf-labelled rooted non-embedded binary trees (also known as phy…