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...

Reconstruction of Phylogenetic Networks: An algorithm for deconstructing and reconstructing Level-2 Binary Networks based on their distances

Van Iersel, Moulton, and Murakami (2020) proved that a level-2 binary phylogenetic network can be uniquely reconstructed based on the matrix of mulitsets of the distances of the leaves. Using a handful of lemma’s each<br/>describing the steps of identifying cherries, uncontained leaves and blobs in the network, I created an algorithm for...