Exact and asymptotic enumeration of unrestricted binary phylogenetic networks through automorphism weights

Josep Batle

Let $\cP_{\ell,k}$ be the set of rooted binary phylogenetic networks with $\ell$ labelled leaves, $k$ reticulations and no parallel edges. We write $|\cP_{\ell,k}|=W_k(\ell)+D_k(\e…