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Updated: Feb 8, 2026

A Practical Guide to Phylogenetics for Nonexperts

A Practical Guide to Phylogenetics for Nonexperts

Published on: February 5, 2014

Tree-based unrooted nonbinary phylogenetic networks.

Michael Hendriksen¹

¹Centre for Research in Mathematics, Western Sydney University, NSW, Australia.

Mathematical Biosciences

|June 23, 2018

Summary

This summary is machine-generated.

This study generalizes phylogenetic networks, which model complex evolutionary histories, to unrooted, nonbinary cases. It introduces and classifies new tree-based networks and explores their colorability for tree-likeness determination.

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Area of Science:

Evolutionary Biology
Computational Biology
Graph Theory

Background:

Phylogenetic trees model evolutionary histories, but complex processes like hybridization require more general structures called phylogenetic networks.
Tree-based networks are a subset of phylogenetic networks constructible by adding edges to a base phylogenetic tree.
Previous work extended tree-based networks to rooted, nonbinary and unrooted, binary contexts.

Purpose of the Study:

To extend the concept of tree-based networks to unrooted, nonbinary phylogenetic networks.
To introduce and classify different types of unrooted, nonbinary tree-based networks based on permitted additional edges.
To investigate the properties of fully tree-based networks and their unrooted, nonbinary counterparts.
To explore the application of network colorability in identifying tree-based networks.

Main Methods:

Developing three distinct frameworks for unrooted, nonbinary tree-based networks.
Defining and analyzing "fully tree-based" networks within these frameworks.
Extending the concept of fully tree-based networks to the unrooted, nonbinary context.
Deriving graph-theoretic results on the colorability of these networks.

Main Results:

Introduced three new classes of unrooted, nonbinary tree-based networks.
Defined and classified fully tree-based networks in the unrooted, nonbinary context.
Established colorability results for tree-based networks, providing a potential method for identification.

Conclusions:

The study successfully extends tree-based network concepts to the unrooted, nonbinary domain.
The classification of fully tree-based networks provides a deeper understanding of network structures.
Network colorability offers a promising approach for determining the tree-likeness of phylogenetic networks.