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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.PR2021
Universal height and width bounds for random trees
Louigi Addario-Berry, Anna Brandenberger, Jad Hamdan +1
We prove non-asymptotic stretched exponential tail bounds on the height of a randomly sampled node in a random combinatorial tree, which we use to prove bounds on the heights and w…