Phylogenetic Networks
Abstract
Phylogenetics is the study of the evolutionary relationships between organisms. One of the main challenges in the field is to take biological data for a group of organisms and to infer an evolutionary tree, a graph that represents these relationships. Developing practical and efficient methods for inferring phylogenetic trees has lead to a number of interesting mathematical questions across a variety of fields. However, due to hybridization and gene flow, a phylogenetic network may be a better representation of the evolutionary history of some groups of organisms. In this chapter, we introduce some of the basic concepts in phylogenetics, and present related undergraduate research projects on phylogenetic networks that touch on areas of graph theory and abstract algebra. In the first section, we describe several open research questions related to the combinatorics of phylogenetic networks. In the second, we describe problems related to understanding phylogenetic statistical models as algebraic varieties.
Cite
@article{arxiv.1906.01586,
title = {Phylogenetic Networks},
author = {Elizabeth Gross and Colby Long and Joseph Rusinko},
journal= {arXiv preprint arXiv:1906.01586},
year = {2019}
}
Comments
26 pages, 8 figures. Chapter submitted for "Foundations for Undergraduate Research in Mathematics" edited by Pamela Harris, Erik Insko, and Aaron Wooton