Abstract.
In recent decades, phylogenetic trees have been replaced in many applications by phylogenetic networks for modeling evolutionary processes. However, whereas the combinatorics of phylogenetic trees is largely clarified, still very little is known about the combinatorics of phylogenetic networks. In this talk, I will give an overview of some of the combinatorial counting results for these networks. Moreover, I will also explain our recent results for counting certain classes of phylogenetic networks.
This is joint work with Bernhard Gittenberger and Michael Fuchs.