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題名 Shape parameters of evolutionary trees in theoretical computer science
作者 符麥克
Fuchs, Michael
貢獻者 應數系
關鍵詞 Yule model; binary search tree; shape parameter; moment-transfer approach; contraction method; β-splitting model
日期 2025-02
上傳時間 13-Nov-2025 10:59:19 (UTC+8)
摘要 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.
關聯 Philosophical Transactions of the Royl Society B, Vol.380, No.1919, 20230304
資料類型 article
DOI https://doi.org/10.1098/rstb.2023.0304
dc.contributor 應數系
dc.creator (作者) 符麥克
dc.creator (作者) Fuchs, Michael
dc.date (日期) 2025-02
dc.date.accessioned 13-Nov-2025 10:59:19 (UTC+8)-
dc.date.available 13-Nov-2025 10:59:19 (UTC+8)-
dc.date.issued (上傳時間) 13-Nov-2025 10:59:19 (UTC+8)-
dc.identifier.uri (URI) https://ah.lib.nccu.edu.tw/item?item_id=179764-
dc.description.abstract (摘要) 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.
dc.format.extent 102 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Philosophical Transactions of the Royl Society B, Vol.380, No.1919, 20230304
dc.subject (關鍵詞) Yule model; binary search tree; shape parameter; moment-transfer approach; contraction method; β-splitting model
dc.title (題名) Shape parameters of evolutionary trees in theoretical computer science
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1098/rstb.2023.0304
dc.doi.uri (DOI) https://doi.org/10.1098/rstb.2023.0304