Orchard Networks are Trees with Additional Horizontal Arcs

Phylogenetic networks are used in biology to represent evolutionary histories. The class of orchard phylogenetic networks was recently introduced for their computational benefits, without any biological justification. Here, we show that orchard networks can be interpreted as trees with additional horizontal arcs. Therefore, they are closely...

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...