On the number of genealogical ancestors tracing to the source groups of an admixed population

no code implementations • 22 Oct 2022 • Jazlyn A. Mooney, Lily Agranat-Tamir, Jonathan K. Pritchard, Noah A. Rosenberg

Using a mechanistic model of admixture, we characterize admixture genealogically: how many distinct ancestors from the source populations does the admixture represent?

A lattice structure for ancestral configurations arising from the relationship between gene trees and species trees

no code implementations • 19 Nov 2021 • Egor Lappo, Noah A. Rosenberg

To a given gene tree topology $G$ and species tree topology $S$ with leaves labeled bijectively from a fixed set $X$, one can associate a set of ancestral configurations, each of which encodes a set of gene lineages that can be found at a given node of the species tree.

Enumeration of binary trees compatible with a perfect phylogeny

no code implementations • 10 Aug 2021 • Julia A. Palacios, Anand Bhaskar, Filippo Disanto, Noah A. Rosenberg

Here, we investigate enumerative properties of the set of binary ranked and unranked tree shapes that are compatible with a perfect phylogeny, and hence, the binary ranked and unranked tree shapes conditioned on an observed pattern of mutations under the in? nitely-many-sites mutation model.