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題名 Two results about the Sackin and Colless indices for phylogenetic trees and their shapes
作者 符麥克
Fuchs, Michael;Goh, Gary;Zhang, Louxin
貢獻者 應數系
關鍵詞 Phylogenetics; Tree balance; Sackin index; Colless index; Asymptotic analysis
日期 2022-11
上傳時間 13-Dec-2023 14:16:24 (UTC+8)
摘要 The Sackin and Colless indices are two widely-used metrics for measuring the balance of trees and for testing evolutionary models in phylogenetics. This short paper contributes two results about the Sackin and Colless indices of trees. One result is the asymptotic analysis of the expected Sackin and Colless indices of tree shapes (which are full binary rooted unlabelled trees) under the uniform model where tree shapes are sampled with equal probability. Another is a short direct proof of the closed formula for the expected Sackin index of phylogenetic trees (which are full binary rooted trees with leaves being labelled with taxa) under the uniform model.
關聯 Journal of Mathematical Biology, No.85, Article number: 69
資料類型 article
DOI https://doi.org/10.1007/s00285-022-01831-2
dc.contributor 應數系
dc.creator (作者) 符麥克
dc.creator (作者) Fuchs, Michael;Goh, Gary;Zhang, Louxin
dc.date (日期) 2022-11
dc.date.accessioned 13-Dec-2023 14:16:24 (UTC+8)-
dc.date.available 13-Dec-2023 14:16:24 (UTC+8)-
dc.date.issued (上傳時間) 13-Dec-2023 14:16:24 (UTC+8)-
dc.identifier.uri (URI) https://nccur.lib.nccu.edu.tw/handle/140.119/148724-
dc.description.abstract (摘要) The Sackin and Colless indices are two widely-used metrics for measuring the balance of trees and for testing evolutionary models in phylogenetics. This short paper contributes two results about the Sackin and Colless indices of trees. One result is the asymptotic analysis of the expected Sackin and Colless indices of tree shapes (which are full binary rooted unlabelled trees) under the uniform model where tree shapes are sampled with equal probability. Another is a short direct proof of the closed formula for the expected Sackin index of phylogenetic trees (which are full binary rooted trees with leaves being labelled with taxa) under the uniform model.
dc.format.extent 106 bytes-
dc.format.mimetype text/html-
dc.relation (關聯) Journal of Mathematical Biology, No.85, Article number: 69
dc.subject (關鍵詞) Phylogenetics; Tree balance; Sackin index; Colless index; Asymptotic analysis
dc.title (題名) Two results about the Sackin and Colless indices for phylogenetic trees and their shapes
dc.type (資料類型) article
dc.identifier.doi (DOI) 10.1007/s00285-022-01831-2
dc.doi.uri (DOI) https://doi.org/10.1007/s00285-022-01831-2