Classes of Semi-binary Phylogenetic Networks encoded by μ-representations

This thesis is on the subject of phylogenetic networks. These are schematic<br/>visualisations used mainly to investigate the evolutionary history of species,<br/>but which can be used for any set of distinguishable elements which have diverged from a common ancestor through some evolutionary process. The research specifically focuses on a way...

Encoding undirected and semi-directed binary phylogenetic networks by quarnets

Phylogenetic networks generalize evolutionary trees and are commonly used to represent evolutionary relationships between species that undergo reticulate evolutionary processes such as hybridization, recombination and lateral gene transfer. In this thesis all quarnets, networks on four species, of a network are assumed to be known. We prove that...

Rooted binary level-3 phylogenetic networks are encoded by quarnets

Phylogenetic networks generalize evolutionary trees and are commonly used to represent evolutionary relationships between species that undergo reticulate processes such as hybridization, recombination and lateral gene transfer. Recently, there has been great interest in knowing which networks are determined or encoded by their trinets, that are...