Abstract Advances in experimental technologies, such as DNA sequencing, have opened up new avenues for the applications of phylogenetic methods to various fields beyond their traditional application evolutionary investigations, extending development, differentiation, cancer genomics, and immunogenomics. Thus, importance is increasingly being recognized, development a novel approach can contribu...

Phylogenetic networks generalise phylogenetic trees and allow for the accurate representation of the evolutionary history of a set of present-day species whose past includes reticulate events such as hybridisation and lateral gene transfer. One way to obtain such a network is by starting with a (rooted) phylogenetic tree T , called a base tree, and adding arcs between arcs of T . The class of p...