ReviewPhilosophical transactions of the Royal Society of London. Series B, Biological sciences2025
Shape parameters of evolutionary trees in theoretical computer science.
Review in Philosophical transactions of the Royal Society of London. Series B, Biological sciences, 2025. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 5 papers.
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5 citing papers in PubMed.
- Expected value of the Sackin index under biased speciation models.Journal of mathematical biology · 2026Article
- Tree Height and the Asymptotic Mean of the Colijn-Plazzotta Rank of Unlabeled Binary Rooted Trees.Bulletin of mathematical biology · 2025Article
- "A mathematical theory of evolution": phylogenetic models dating back 100 years.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2025Article
- Labelled histories with multifurcation and simultaneity.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2025Article
- Tree balance in phylogenetic models.Philosophical transactions of the Royal Society of London. Series B, Biological sciences · 2025Article
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1 author.
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Abstract
Shape parameters, e.g. balance indices, of evolutionary trees have been extensively studied under the Yule model in phylogenetics. Independently, many of the same parameters have also been studied for random binary search trees in computer science, where they measure the running time of algorithms. In fact, under the Yule and binary search tree models, these parameters have the same distribution, resulting in many identical discoveries. In this survey, we explain these connections and introduce some of the tools that have been used in computer science to derive stochastic results for shape parameters.This article is part of the theme issue '"A mathematical theory of evolution": phylogenetic models dating back 100 years'.
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