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math.PR2021
Leaf multiplicity in a Bienaymé-Galton-Watson tree
Anna M. Brandenberger, Luc Devroye, Marcel K. Goh +1
This note defines a notion of multiplicity for nodes in a rooted tree and presents an asymptotic calculation of the maximum multiplicity over all leaves in a Bienaymé-Galton-Watson…
math.PR2020
Root estimation in Galton-Watson trees
Anna M. Brandenberger, Luc Devroye, Marcel K. Goh
Given only the free-tree structure of a tree, the root estimation problem asks if one can guess which of the free tree's nodes is the root of the original tree. We determine the ma…