Combinatorial and stochastic properties of ranked tree‐child networks

DOI10.1002/rsa.21048zbMath1526.92034arXiv2007.09701OpenAlexW3199262607MaRDI QIDQ6074698

François Bienvenu, Amaury Lambert, Mike A. Steel

Publication date: 12 October 2023

Published in: Random Structures & Algorithms (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2007.09701

zbMATH Keywords

random graphsphylogenetic networksreticulate evolution

Mathematics Subject Classification ID

Problems related to evolution (92D15) Random graphs (graph-theoretic aspects) (05C80) Enumeration in graph theory (05C30)

Related Items (9)

Asymptotic enumeration and distributional properties of galled networks ⋮ Bijections for ranked tree-child networks ⋮ Counting phylogenetic networks with few reticulation vertices: a second approach ⋮ Distributions of cherries and pitchforks for the Ford model ⋮ Enumeration of rooted binary unlabeled galled trees ⋮ A branching process with coalescence to model random phylogenetic networks ⋮ Limit theorems for patterns in ranked tree‐child networks ⋮ A lattice structure for ancestral configurations arising from the relationship between gene trees and species trees ⋮ The space of equidistant phylogenetic cactuses

Cites Work

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• Fundamentals of Stein's method
• Probabilistic models for the (sub)tree(s) of life
• A bound for the distribution of the sum of discrete associated or negatively associated random variables.
• Counting and enumerating tree-child networks and their subclasses
• On the asymptotic growth of the number of tree-child networks
• Counting phylogenetic networks
• Unique determination of some homoplasies at hybridization events
• Combinatorial stochastic processes. Ecole d'Eté de Probabilités de Saint-Flour XXXII -- 2002.
• Phylogeny
• Stochastic Calculus
• Counting Phylogenetic Networks with Few Reticulation Vertices: Tree-Child and Normal Networks
• Properties of phylogenetic trees generated by Yule-type speciation models

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