While phylogenies have been essential in understanding how species evolve, they do not adequately describe some evolutionary processes. For instance, hybridization, a common …
P Zaharias, T Warnow - Philosophical Transactions of the …, 2022 - royalsocietypublishing.org
With the increased availability of sequence data and even of fully sequenced and assembled genomes, phylogeny estimation of very large trees (even of hundreds of …
Rooted acyclic graphs appear naturally when the phylogenetic relationship of a set X of taxa involves not only speciations but also recombination, horizontal transfer, or hybridization that …
Phylogenetic estimation is, and has always been, a complex endeavor. Estimating a phylogenetic tree involves evaluating many possible solutions and possible evolutionary …
M Frohn, S Kelk - arXiv preprint arXiv:2409.18077, 2024 - arxiv.org
Finding the most parsimonious tree inside a phylogenetic network with respect to a given character is an NP-hard combinatorial optimization problem that for many network …
F Bienvenu - arXiv preprint arXiv:2410.13574, 2024 - arxiv.org
Models of random phylogenetic networks have been used since the inception of the field, but the introduction and rigorous study of mathematically tractable models is a much more …
The evolutionary relationships between species are typically represented in the biological literature by rooted phylogenetic trees. However, a tree fails to capture ancestral reticulate …
T Barton, E Gross, C Long, J Rusinko - arXiv preprint arXiv:2211.11919, 2022 - arxiv.org
Phylogenetic networks provide a means of describing the evolutionary history of sets of species believed to have undergone hybridization or gene flow during their evolution. The …
A Francis, M Steel - Bulletin of Mathematical Biology, 2023 - Springer
Phylogenetic networks are mathematical representations of evolutionary history that are able to capture both tree-like evolutionary processes (speciations) and non-tree-like …