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政大典藏 > College of Science > Department of Mathematical Sciences > Periodical Articles > Item 140.119/148724

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Title:	Two results about the Sackin and Colless indices for phylogenetic trees and their shapes
Authors:	符麥克 Fuchs, Michael;Goh, Gary;Zhang, Louxin
Contributors:	應數系
Keywords:	Phylogenetics;Tree balance;Sackin index;Colless index;Asymptotic analysis
Date:	2022-11
Issue Date:	2023-12-13 14:16:24 (UTC+8)
Abstract:	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.
Relation:	Journal of Mathematical Biology, No.85, Article number: 69
Data Type:	article
DOI link:	https://doi.org/10.1007/s00285-022-01831-2
DOI:	10.1007/s00285-022-01831-2
Appears in Collections:	[Department of Mathematical Sciences] Periodical Articles

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