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Uniform attachment with freezing

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arxiv 2308.00493 v2 pith:LUPA33XD submitted 2023-08-01 math.PR math.CO

Étienne Bellin , Arthur Blanc-Renaudie , Emmanuel Kammerer , Igor Kortchemski This is my paper · ORCID
classification math.PRmath.CO
keywords treesverticesfreezingonesallowedalreadyattachedattaching
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In the classical model of random recursive trees, trees are recursively built by attaching new vertices to old ones. What happens if vertices are allowed to freeze, in the sense that new vertices cannot be attached to already frozen ones? We are interested in the impact of freezing on the height of such trees.

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Cited by 1 Pith paper

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  1. Fluid limit and gelation in the frozen Erd\H{o}s-R\'enyi random graph

    math.PR 2025-02 conditional novelty 7.0 of 10

    The frozen Erdős-Rényi graph has a fluid limit governed by explicit ODEs, and its total gelation time rescaled by n converges to a Gumbel distribution with explicit constants.

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