2 papers
math.CO2024
Tamari intervals and blossoming trees
Wenjie Fang, Ãric Fusy, Philippe Nadeau
We introduce a simple bijection between Tamari intervals and the blossoming trees (Poulalhon and Schaeffer, 2006) encoding planar triangulations, using a new meandering representat…
math.PR2024
Phase transition for tree-rooted maps
Marie Albenque, Ãric Fusy, Zéphyr Salvy
We introduce a model of tree-rooted planar maps weighted by their number of -connected blocks. We study its enumerative properties and prove that it undergoes a phase transition…