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Title:	Shape parameters of evolutionary trees in theoretical computer science
Authors:	符麥克 Fuchs, Michael
Contributors:	應數系
Keywords:	Yule model;binary search tree;shape parameter;moment-transfer approach;contraction method;β-splitting model
Date:	2025-02
Issue Date:	2025-11-13 10:59:19 (UTC+8)
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.
Relation:	Philosophical Transactions of the Royl Society B, Vol.380, No.1919, 20230304
Data Type:	article
DOI 連結:	https://doi.org/10.1098/rstb.2023.0304
DOI:	10.1098/rstb.2023.0304
Appears in Collections:	[應用數學系] 期刊論文

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