Phylogenetic network classes through the lens of expanding covers
arXiv:2306.06519 · doi:10.1007/s00285-024-02075-y
Abstract
It was recently shown that a large class of phylogenetic networks, the `labellable' networks, is in bijection with the set of `expanding' covers of finite sets. In this paper, we show how several prominent classes of phylogenetic networks can be characterised purely in terms of properties of their associated covers. These classes include the tree-based, tree-child, orchard, tree-sibling, and normal networks.
21 pages, 6 figures. Version 2 fixes an error in Fig 6, clarifies some statements, and corrects some typos