38 citations · 74 across the 13 of their papers we have counts for
4 papers · 1 filter
Brauer and partition diagram models for phylogenetic trees and forests
Andrew Francis, Peter D Jarvis
We introduce a correspondence between phylogenetic trees and Brauer diagrams, inspired by links between binary trees and matchings described by Diaconis and Holmes (1998). This cor…
Systematics and symmetry in molecular phylogenetic modelling: perspectives from physics
Peter D Jarvis, Jeremy G Sumner
The aim of this review is to present and analyze the probabilistic models of mathematical phylogenetics which have been intensively used in recent years in biology as the cornersto…
A representation-theoretic approach to the calculation of evolutionary distance in bacteria
Jeremy G Sumner, Peter D Jarvis, Andrew R Francis
In the context of bacteria and models of their evolution under genome rearrangement, we explore a novel application of group representation theory to the inference of evolutionary…
A tensorial approach to the inversion of group-based phylogenetic models
Jeremy G. Sumner, Peter D. Jarvis, Barbara R. Holland
Using a tensorial approach, we show how to construct a one-one correspondence between pattern probabilities and edge parameters for any group-based model. This is a generalisation…