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The leaf sets are denoted L and L' for T and T' respectively, note that L = L =
All of the above algorithms make use of the sizes of the leaf sets of the rooted subtrees of the input trees, either directly or indirectly.
Moreover, the leaf sets of the two subtrees rooted at the children of w in T must be identical to the leaf sets of the two subtrees rooted at the children of w in ThisThimpliesies that if ℳ S, T (u) = w, then ℳ S, T' (u) = w as well.
In the more general setting where there is little overlap among the leaf sets of the input trees, the gap between the size of an MFST and the size of a MAST can be even wider.
By that we mean looking for a rooting such that the leaf sets of the descendant subtrees each have a single taxonomic classification at the highest taxonomic rank that contains multiple taxonomic identifiers.
We say that a collection of phylogenetic trees T1,..., T k defines a phylogenetic X-tree T if X is the union of the leaf sets of the trees T1,..., T k and there exists one, and only one phylogenetic X-tree that displays these trees, and this tree is T.
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The leaf set of a tree T is denoted by ℒ T).
This definition restricts the larger tree to only the leaf set of the smaller tree before evaluating the RF distance.
3. Evaluation of the scalability of MfstMiner with respect to the number of trees, the size of the leaf set and the support value.
We represented each tree T on leaf set S by the set ∑(T) of bipartitions induced on the leaf set, one bipartition for each internal edge in the tree.
In the resultant shortest path map, we search vertices that have no child, and call such a set as the leaf set.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com