4 papers
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…