Revisiting Shao and Sokal's \(B_2\) index of phylogenetic balance

DOI10.1007/s00285-021-01662-7zbMath1475.92115arXiv2010.08079OpenAlexW4287524565WikidataQ113905464 ScholiaQ113905464MaRDI QIDQ2244896

François Bienvenu, Gabriel Cardona, Celine Scornavacca

Publication date: 12 November 2021

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

Full work available at URL: https://arxiv.org/abs/2010.08079

zbMATH Keywords

Shannon entropyphylogenetic networksSackin indexColless index\(B_2\) indexphylogenetic balance

Mathematics Subject Classification ID

Problems related to evolution (92D15) Applications of graph theory (05C90) Entropy and other invariants (28D20)

Related Items (1)

Peripherality in networks: theory and applications

Uses Software

• OEIS
• SackinMinimizer

Cites Work

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• Simply generated trees, conditioned Galton-Watson trees, random allocations and condensation
• The mean, variance and limiting distribution of two statistics sensitive to phylogenetic tree balance
• Level number sequences for trees
• The coalescent
• Distributions of cherries for two models of trees
• Probabilistic models for the (sub)tree(s) of life
• The contraction method for recursive algorithms
• On the minimum value of the Colless index and the bifurcating trees that achieve it
• Effect of selection on the topology of genealogical trees
• Counting and enumerating tree-child networks and their subclasses
• 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
• Chu–Vandermonde convolution and harmonic number identities
• On the convex layers of a planar set

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