4 problems

Let $T$ be a gene tree, $S$ a species tree, and $sigma$ a leaf-association map. For a prescribed set of reconciliation edges $H\subseteq E(T)$, consider whether there exists a reco…

Let $H$ denote the model's horizontal gene-transfer parameter, let $\tau$ be the model parameter appearing in the ESS condition, and let an $m$-morphic ESS mean an evolutionarily s…

Let $N(B)$ be a tree-metrizable minimal support network of a biconnected component $B$, and suppose that $N(B)$ has $n$ leaves. A reticulation arc is an arc entering a reticulation…

Let $N$ be a level-$k$ HGT network with a biconnected component $B$. Let $N(B)$ denote the minimal support network of $B$, let $T_{N(B)}$ denote its underlying tree, and call a pai…