Two results about the Sackin and Colless indices for phylogenetic trees and their shapes

DOI10.1007/s00285-022-01831-2OpenAlexW4309878767MaRDI QIDQ2105803

Gary Goh, Louxin Zhang, Michael Fuchs

Publication date: 8 December 2022

Published in: Journal of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2201.10958

zbMATH Keywords

asymptotic analysisphylogeneticsSackin indextree balanceColless index

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of graph theory (05C90) Asymptotic enumeration (05A16)

Cites Work

• Unnamed Item
• A new balance index for phylogenetic trees
• Limiting distributions for additive functionals on Catalan trees
• Equality of Shapley value and fair proportion index in phylogenetic trees
• The mean, variance and limiting distribution of two statistics sensitive to phylogenetic tree balance
• The average height of binary trees and other simple trees
• A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees
• On statistical tests of phylogenetic tree imbalance: The Sackin and other indices revisited
• Phylogeny
• The distribution of height and diameter in random non-plane binary trees
• Distance metrics for ranked evolutionary trees

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