6 papers
Counting rankings of tree-child networks
Qiang Zhang, Mike Steel
Rooted phylogenetic networks allow biologists to represent evolutionary relationships between present-day species by revealing ancestral speciation and hybridization events. A conv…
Predicting the depth of the most recent common ancestor of a random sample of species: the impact of phylogenetic tree shape
Michael Fuchs, Mike Steel
We consider the following question: how close to the ancestral root of a phylogenetic tree is the most recent common ancestor of species randomly sampled from the tips of the t…
A dichotomy law for certain classes of phylogenetic networks
Michael Fuchs, Mike Steel
Many classes of phylogenetic networks have been proposed in the literature. A feature of several of these classes is that if one restricts a network in the class to a subset of its…
Asymptotic enumeration of normal and hybridization networks via tree decoration
Michael Fuchs, Mike Steel, Qiang Zhang
Phylogenetic networks provide a more general description of evolutionary relationships than rooted phylogenetic trees. One way to produce a phylogenetic network is to randomly plac…
The asymptotic distribution of the -Robinson-Foulds dissimilarity measure on labelled trees
Michael Fuchs, Mike Steel
Motivated by applications in medical bioinformatics, Khayatian et al. (2024) introduced a family of metrics on Cayley trees (the -RF distance, for ) and explor…
Transformations to simplify phylogenetic networks
Johanna Heiss, Daniel H. Huson, Mike Steel
The evolutionary relationships between species are typically represented in the biological literature by rooted phylogenetic trees. However, a tree fails to capture ancestral retic…