Enumeration of coalescent histories for caterpillar species trees and \(p\)-pseudocaterpillar gene trees

DOI10.1016/j.aam.2021.102265zbMath1471.92232arXiv2103.13464OpenAlexW3193312128MaRDI QIDQ820935

Egor Alimpiev, Noah A. Rosenberg

Publication date: 29 September 2021

Published in: Advances in Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2103.13464

zbMATH Keywords

Dyck pathsCatalan numbersphylogeneticscoalescent historiesmonotonic paths

Mathematics Subject Classification ID

Problems related to evolution (92D15) Taxonomy, cladistics, statistics in mathematical biology (92B10) Exact enumeration problems, generating functions (05A15) Genetics and epigenetics (92D10)

Related Items (3)

The distributions under two species-tree models of the total number of ancestral configurations for matching gene trees and species trees ⋮ A lattice structure for ancestral configurations arising from the relationship between gene trees and species trees ⋮ The distributions under two species-tree models of the number of root ancestral configurations for matching gene trees and species trees

Cites Work

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• There are no caterpillars in a wicked forest
• Coalescent histories for discordant gene trees and species trees
• Enumeration of lonely pairs of gene trees and species trees by means of antipodal cherries
• A \textit{Mathematica} version of Zeilberger's algorithm for proving binomial coefficient identities
• Roadblocked monotonic paths and the enumeration of coalescent histories for non-matching caterpillar gene trees and species trees
• CATALAN'S TRAPEZOIDS
• Catalan Numbers

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