Enumeration of lonely pairs of gene trees and species trees by means of antipodal cherries

DOI10.1016/j.aam.2018.09.001zbMath1401.05025OpenAlexW2890960904WikidataQ93085760 ScholiaQ93085760MaRDI QIDQ1631450

Noah A. Rosenberg

Publication date: 6 December 2018

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

Full work available at URL: https://doi.org/10.1016/j.aam.2018.09.001

zbMATH Keywords

phylogeneticscoalescent historiescherries

Mathematics Subject Classification ID

Trees (05C05) Problems related to evolution (92D15) Applications of graph theory (05C90) Exact enumeration problems, generating functions (05A15)

Related Items (7)

Enumeration of coalescent histories for caterpillar species trees and \(p\)-pseudocaterpillar gene trees ⋮ 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 ⋮ Triangular recurrences, generalized Eulerian numbers, and related number triangles ⋮ Roadblocked monotonic paths and the enumeration of coalescent histories for non-matching caterpillar gene trees and species trees ⋮ Counting and sampling gene family evolutionary histories in the duplication-loss and duplication-loss-transfer models ⋮ The distributions under two species-tree models of the number of root ancestral configurations for matching gene trees and species trees

Uses Software

• CompactCH

Cites Work

• On joint subtree distributions under two evolutionary models
• The probability distribution of ranked gene trees on a species tree
• There are no caterpillars in a wicked forest
• The probability of topological concordance of gene trees and species trees.
• Coalescent histories for discordant gene trees and species trees
• Enumeration of compact coalescent histories for matching gene trees and species trees
• Phylogeny
• Matchings and phylogenetic trees
• The probabilities of rooted tree-shapes generated by random bifurcation

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