4 papers
Characterization of tree-child networks in terms of mu vectors
Toni Fuentes, Vincent Moulton, Katharina T. Huber +1
We characterize tree-child phylogenetic networks in terms of their mu-representations. First, we give a structural characterization of tree-child networks by means of ordered tree-…
Arboreal Networks and Ultrametrics
Katharina T. Huber, Vincent Moulton, Guillaume E. Scholz
Ultrametrics are an important class of distances used in applications such as phylogenetics, clustering and classification theory. Ultrametrics are essentially distances that can b…
Subtree Distances, Tight Spans and Diversities
David Bryant, Katharina T. Huber, Vincent Moulton +1
Metric embeddings are central to metric theory and its applications. Here we consider embeddings of a different sort: maps from a set to subsets of a metric space so that distances…
Phylogenetic trees defined by at most three characters
Katharina T. Huber, Simone Linz, Vincent Moulton +1
In evolutionary biology, phylogenetic trees are commonly inferred from a set of characters (partitions) of a collection of biological entities (e.g., species or individuals in a po…