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arXiv · 2410.06481

Leaf Stripping on Uniform Attachment Trees

Louigi Addario-Berry·Anna Brandenberger·Simon Briend·Nicolas Broutin·Gábor Lugosi
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Abstract

In this note we analyze the performance of a simple root-finding algorithm in uniform attachment trees. The leaf-stripping algorithm recursively removes all leaves of the tree for a carefully chosen number of rounds. We show that, with probability $1 - \epsilon$, the set of remaining vertices contains the root and has a size only depending on $\epsilon$ but not on the size of the tree.

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Louigi Addario-Berry, Anna Brandenberger, Simon Briend, Nicolas Broutin, Gábor Lugosi. 2024-10-09. Leaf Stripping on Uniform Attachment Trees. https://arxiv.org/abs/2410.06481

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