## Two results on expected values of imbalance indices of phylogenetic trees

*Mir, Arnau*;

*Rossello, Francesc*;

- Subject: Quantitative Biology - Populations and Evolutionarxiv: Quantitative Biology::Genomics | Quantitative Biology::Populations and Evolution

We compute an explicit formula for the expected value of the Colless index of a phylogenetic tree generated under the Yule model, and an explicit formula for the expected value of the Sackin index of a phylogenetic tree generated under the uniform model.

- References (2)
1. N. Bortolussi, E. Durand, M. Blum, O. Franc¸ois, apTreeshape: statistical analysis of phylogenetic tree shape. Bioinformatics 22 (2006), 363-364.

2. W.N. Bayley, Generalized Hypergeometric Series. Cambridge Tracts in Mathematics and Mathematical Physics 32, Stechert-Hafner Service Inc. (1964).

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