3 problems

Maximally probable topology conjecture with simultaneity. The unlabeled topology whose labelings have the largest number of tie-permitting labeled histories has the form in Theorem…

Maximal-topology conjecture. The topology in Theorem Hammersley is unique in having the maximal total number of tie-permitting labeled histories. Moreover, for every

Let $T_1$ and $T_2$ be equidistant rooted phylogenetic trees with $n$ leaves in $X$, and let $\Gamma_{T_1,T_2}$ be the tropical line segment between them. A nearest neighbor interc…