# Root Estimation in Galton-Watson Trees

@article{Brandenberger2020RootEI, title={Root Estimation in Galton-Watson Trees}, author={Anna Brandenberger and L. Devroye and Marcel K. Goh}, journal={arXiv: Probability}, year={2020} }

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 maximum-likelihood estimator for the root of a free tree when the underlying tree is a size-conditioned Galton-Watson tree and calculate its probability of being correct.

#### 2 Citations

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

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The Horton-Strahler number of a tree is a measure of its branching complexity; it is also known in the literature as the register function. We show that for critical Galton-Watson trees with finite… Expand

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