5 papers
Arboreal Networks and Ultrametrics
Katharina T. Huber, Vincent Moulton, Guillaume E. Scholz
Ultametrics are an important class of distances used in applications such as phylogenetics, clustering and classification theory. Ultrametrics are essentially distances that can be…
Characterizing semi-directed phylogenetic networks and their multi-rootable variants
Niels Holtgrefe, Katharina T. Huber, Leo van Iersel +2
In evolutionary biology, phylogenetic networks are graphs that provide a flexible framework for representing complex evolutionary histories that involve reticulate evolutionary eve…
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…
When are quarnets sufficient to reconstruct semi-directed phylogenetic networks?
Katharina T. Huber, Leo van Iersel, Mark Jones +2
Phylogenetic networks are graphs that are used to represent evolutionary relationships between different taxa. They generalize phylogenetic trees since for example, unlike trees, t…
Cherry picking in forests: A new characterization for the unrooted hybrid number of two phylogenetic trees
Katharina T. Huber, Simone Linz, Vincent Moulton
Phylogenetic networks are a special type of graph which generalize phylogenetic trees and that are used to model non-treelike evolutionary processes such as recombination and hybri…