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Given two phylogenetic trees on the same set of taxa X, the maximum parsimony distance dMP is defined as the maximum, ranging over all characters on X, of the absolute difference in parsimony score induced by on the two trees. In this note we prove that for binary trees there exists a character achieving this maximum that is convex on one of the trees (i.e.… (More)

The hybridization number problem requires us to embed a set of binary rooted phylogenetic trees into a binary rooted phylogenetic network such that the number of nodes with indegree two is minimized. However, from a biological point of view accurately inferring the root location in a phylogenetic tree is notoriously difficult and poor root placement can… (More)

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