Encoding level-k phylogenetic networks

Phylogenetic networks are used to describe evolutionary histories and are a generalisation of evolutionary trees. They can contain so called reticulations, representing reticulate evolution, such as hybridization, lateral gene transfer and recombination. Methods are being developed to construct certain rooted phylogenetic networks from their...

Heading in the right direction? Using head moves to traverse phylogenetic network space

Head moves are a type of rearrangement moves for phylogenetic net-works. They have primarily been studied as part of other types of moves, such as rSPR moves. Here, we study head moves as a type of moves on themselves. We show that the tiers (k > 0) of phylogenetic network space are connected by local head moves. Then, we show tail moves...

A unifying characterization of tree-based networks and orchard networks using cherry covers

Phylogenetic networks are used to represent evolutionary relationships between species in biology. Such networks are often categorized into classes by their topological features, which stem from both biological and computational motivations. We study two network classes in this paper: tree-based networks and orchard networks. Tree-based...