2 papers
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…
math.CO2024
Refined Horton-Strahler numbers I: a discrete bijection
Louigi Addario-Berry, Marie Albenque, Serte Donderwinkel +1
The Horton-Strahler number of a rooted tree is the height of the tallest complete binary tree that can be homeomorphically embedded in . The number of full binary trees with…