Leaf multiplicity in a Bienaym\'e-Galton-Watson tree

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 Bienaym\'e-Galton-Watson tree with critical offspring distribution $\xi$, conditioned on the tree being of size $n$. In particular, we sh...

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Bibliographic Details
Main Authors: Anna M. Brandenberger, Luc Devroye, Marcel K. Goh, Rosie Y. Zhao
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2022-03-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/7515/pdf