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In evolutionary studies it is common to use phylogenetic trees to represent the evolutionary history of a set of species. However, in case the transfer of genes or other genetic information between the species or their ancestors has…

Combinatorics · Mathematics 2022-02-15 Katharina T. Huber , Vincent Moulton , Guillaume E. Scholz

A fundamental problem in the study of phylogenetic networks is to determine whether or not a given phylogenetic network contains a given phylogenetic tree. We develop a quadratic-time algorithm for this problem for binary nearly-stable…

Data Structures and Algorithms · Computer Science 2022-08-29 Philippe Gambette , Andreas D. M. Gunawan , Anthony Labarre , Stéphane Vialette , Louxin Zhang

The evolutionary relationships among organisms have traditionally been represented using rooted phylogenetic trees. However, due to reticulate processes such as hybridization or lateral gene transfer, evolution cannot always be adequately…

Populations and Evolution · Quantitative Biology 2022-01-20 Sungsik Kong , Joan Carles Pons , Laura Kubatko , Kristina Wicke

We propose a reinforcement-learning algorithm to tackle the challenge of reconstructing phylogenetic trees. The search for the tree that best describes the data is algorithmically challenging, thus all current algorithms for phylogeny…

Populations and Evolution · Quantitative Biology 2023-03-14 Dana Azouri , Oz Granit , Michael Alburquerque , Yishay Mansour , Tal Pupko , Itay Mayrose

Recently, so-called treebased phylogenetic networks have gained considerable interest in the literature, where a treebased network is a network that can be constructed from a phylogenetic tree, called the base tree, by adding additional…

Populations and Evolution · Quantitative Biology 2019-11-28 Mareike Fischer , Michelle Galla , Lina Herbst , Yangjing Long , Kristina Wicke

Phylogenetic (i.e. leaf-labeled) trees play a fundamental role in evolutionary research. A typical problem is to reconstruct such trees from data like DNA alignments (whose columns are often referred to as characters), and a simple…

Populations and Evolution · Quantitative Biology 2022-09-08 Mareike Fischer

Tree-based networks are a class of phylogenetic networks that attempt to formally capture what is meant by "tree-like" evolution. A given non-tree-based phylogenetic network, however, might appear to be very close to being tree-based, or…

Populations and Evolution · Quantitative Biology 2020-01-17 Mareike Fischer , Andrew Francis

Phylogenetic networks are generalizations of phylogenetic trees that allow the representation of reticulation events such as horizontal gene transfer or hybridization, and can also represent uncertainty in inference. A subclass of these,…

Populations and Evolution · Quantitative Biology 2019-10-15 Mareike Fischer , Andrew Francis

Phylogenetic trees canonically arise as embeddings of phylogenetic networks. We recently showed that the problem of deciding if two phylogenetic networks embed the same sets of phylogenetic trees is computationally hard, \blue{in…

Combinatorics · Mathematics 2021-04-13 Janosch Doecker , Simone Linz , Charles Semple

Phylogenetic networks provide a way to describe and visualize evolutionary histories that have undergone so-called reticulate evolutionary events such as recombination, hybridization or horizontal gene transfer. The level k of a network…

Populations and Evolution · Quantitative Biology 2008-07-21 Leo van Iersel , Steven Kelk , Matthias Mnich

Phylogenetic networks provide a more general description of evolutionary relationships than rooted phylogenetic trees. One way to produce a phylogenetic network is to randomly place $k$ arcs between the edges of a rooted binary phylogenetic…

Populations and Evolution · Quantitative Biology 2025-03-19 Michael Fuchs , Mike Steel , Qiang Zhang

A phylogenetic tree is an important way in Bioinformatics to find the evolutionary relationship among biological species. In this research, a proposed model is described for the estimation of a phylogenetic tree for a given set of data. To…

Populations and Evolution · Quantitative Biology 2025-09-03 S M Rafiuddin

Phylogenetically informed k-mers, or phylo-k-mers for short, are k-mers that are predicted to appear within a given genomic region at predefined locations of a fixed phylogeny. Given a reference alignment for this genomic region and…

Quantitative Methods · Quantitative Biology 2022-09-21 Nikolai Romashchenko , Benjamin Linard , Fabio Pardi , Eric Rivals

Phylogenetic networks are a generalisation of phylogenetic trees that allow for more complex evolutionary histories that include hybridisation-like processes. It is of considerable interest whether a network can be considered `tree-like' or…

Populations and Evolution · Quantitative Biology 2017-11-21 Michael Hendriksen

In phylogenetics, tree-based networks are used to model and visualize the evolutionary history of species where reticulate events such as horizontal gene transfer have occurred. Formally, a tree-based network $N$ consists of a phylogenetic…

Discrete Mathematics · Computer Science 2020-08-21 Jonathan Klawitter , Peter Stumpf

Random forests on the one hand, and neural networks on the other hand, have met great success in the machine learning community for their predictive performance. Combinations of both have been proposed in the literature, notably leading to…

Machine Learning · Computer Science 2021-10-15 Ludovic Arnould , Claire Boyer , Erwan Scornet , Sorbonne Lpsm

In evolutionary biology, networks are becoming increasingly used to represent evolutionary histories for species that have undergone non-treelike or reticulate evolution. Such networks are essentially directed acyclic graphs with a leaf set…

Populations and Evolution · Quantitative Biology 2023-08-23 Katharina T. Huber , Leo van Iersel , Vincent Moulton , Guillaume Scholz

Given a rooted, binary phylogenetic network and a rooted, binary phylogenetic tree, can the tree be embedded into the network? This problem, called \textsc{Tree Containment}, arises when validating networks constructed by phylogenetic…

Populations and Evolution · Quantitative Biology 2024-02-14 Leo van Iersel , Mark Jones , Mathias Weller

Rooted phylogenetic networks allow biologists to represent evolutionary relationships between present-day species by revealing ancestral speciation and hybridization events. A convenient and well-studied class of such networks are…

Populations and Evolution · Quantitative Biology 2026-02-02 Qiang Zhang , Mike Steel

The ancestral maximum-likelihood and phylogeography problems are two fundamental problems involving evolutionary studies. The ancestral maximum-likelihood problem involves identifying a rooted tree alongside internal node sequences that…

Data Structures and Algorithms · Computer Science 2023-08-15 Mohammad-Hadi Foroughmand-Araabi , Sama Goliaei , Kasra Alishahi