Make our arguments more concise and revise the statement of some of the results to make it clearer if we are referring to a (graph theoretical) tree or a phylogenetic tree.
We have revised our arguments and now all graph-theoretic notions are properly introduced and explained, so it is safe to assume that by a tree we mean phylogenetic tree throughout the paper.
Make our arguments more concise and revise the statement of some of the results to make it clearer if we are referring to a (graph theoretical) tree or a phylogenetic tree.