Squaring within the Colless index yields a better balance index
From MaRDI portal
Publication:2657967
DOI10.1016/j.mbs.2020.108503zbMath1457.92123arXiv2007.14731OpenAlexW3108711400WikidataQ103756959 ScholiaQ103756959MaRDI QIDQ2657967
Krzysztof Bartoszek, Tomás M. Coronado, Arnau Mir, Francesc Rosselló
Publication date: 18 March 2021
Published in: Mathematical Biosciences (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2007.14731
Related Items
Hardness of \textsc{Balanced Mobiles} ⋮ A simple derivation of the mean of the Sackin index of tree balance under the uniform model on rooted binary labeled trees
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A new balance index for phylogenetic trees
- On joint subtree distributions under two evolutionary models
- Topological properties of phylogenetic trees in evolutionary models
- The mean, variance and limiting distribution of two statistics sensitive to phylogenetic tree balance
- Stochastic models and descriptive statistics for phylogenetic trees, from Yule to today.
- Distributions of cherries for two models of trees
- Exact and approximate limit behaviour of the Yule tree's cophenetic index
- On the minimum value of the Colless index and the bifurcating trees that achieve it
- A balance index for phylogenetic trees based on rooted quartets
- Exact formulas for the variance of several balance indices under the Yule model
- On statistical tests of phylogenetic tree imbalance: The Sackin and other indices revisited
- Phylogeny
- Chu–Vandermonde convolution and harmonic number identities
- Limit distribution of the quartet balance index for Aldous’s $(\beta \ge 0)$-model
- The probabilities of rooted tree-shapes generated by random bifurcation
- A limit theorem for “quicksort”
