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Phylogenetic networks are an extension of phylogenetic trees that allow for the representation of reticulate evolution events. One of the classes of networks that has gained the attention of the scientific community over the last years is…

Populations and Evolution · Quantitative Biology 2023-08-01 Gabriel Cardona , Gerard Ribas , Joan Carles Pons

Phylogenetic network is an evolutionary model that uses a rooted directed acyclic graph (instead of a tree) to model an evolutionary history of species in which reticulate events (e.g., hybrid speciation or horizontal gene transfer)…

Populations and Evolution · Quantitative Biology 2023-12-01 Yufeng Wu , Louxin Zhang

Phylogenetic networks generalise phylogenetic trees and allow for the accurate representation of the evolutionary history of a set of present-day species whose past includes reticulate events such as hybridisation and lateral gene transfer.…

Populations and Evolution · Quantitative Biology 2018-09-05 Joan Carles Pons , Charles Semple , Mike Steel

A large class of phylogenetic networks can be obtained from trees by the addition of horizontal edges between the tree edges. These networks are called tree based networks. Reticulation-visible networks and child-sibling networks are all…

Populations and Evolution · Quantitative Biology 2015-09-09 Louxin Zhang

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

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

Galled trees are studied as a recombination model in theoretic population genetics. This class of phylogenetic networks has been generalized to tree-child networks, normal networks and tree-based networks by relaxing a structural condition.…

Populations and Evolution · Quantitative Biology 2019-08-05 Louxin Zhang

Phylogenetic networks are a generalization of evolutionary trees that are used by biologists to represent the evolution of organisms which have undergone reticulate evolution. Essentially, a phylogenetic network is a directed acyclic graph…

Populations and Evolution · Quantitative Biology 2017-02-01 Leo van Iersel , Vincent Moulton , Eveline de Swart , Taoyang Wu

One strategy for reconstruction of phylogenetic networks is to solve the phylogenetic network problem, which involves inferring phylogenetic trees first and subsequently computing the smallest phylogenetic network that displays all the…

Combinatorics · Mathematics 2023-09-26 Laurent Bulteau , Louxin Zhang

Phylogenetic networks are a generalization of phylogenetic trees that allow for the representation of non-treelike evolutionary events, like recombination, hybridization, or lateral gene transfer. In this paper, we present and study a new…

Populations and Evolution · Quantitative Biology 2007-08-28 Gabriel Cardona , Francesc Rossello , Gabriel Valiente

Tree-child networks are a recently-described class of directed acyclic graphs that have risen to prominence in phylogenetics (the study of evolutionary trees and networks). Although these networks have a number of attractive mathematical…

Probability · Mathematics 2023-01-10 François Bienvenu , Amaury Lambert , Mike Steel

Galled trees are studied as a recombination model in population genetics. This class of phylogenetic networks is generalized into tree-child, galled and reticulation-visible network classes by relaxing a structural condition imposed on…

Populations and Evolution · Quantitative Biology 2020-02-28 Gabriel Cardona , Louxin Zhang

Phylogenetic networks generalize phylogenetic trees, and have been introduced in order to describe evolution in the case of transfer of genetic material between coexisting species. There are many classes of phylogenetic networks, which can…

Combinatorics · Mathematics 2020-03-13 Mathilde Bouvel , Philippe Gambette , Marefatollah Mansouri

Construction of phylogenetic trees and networks for extant species from their characters represents one of the key problems in phylogenomics. While solution to this problem is not always uniquely defined and there exist multiple methods for…

Populations and Evolution · Quantitative Biology 2016-08-10 Nikita Alexeev , Max A. Alekseyev

An important problem in evolutionary biology is to reconstruct the evolutionary history of a set $X$ of species. This history is often represented as a phylogenetic network, that is, a connected graph with leaves labelled by elements in $X$…

Combinatorics · Mathematics 2017-02-01 Leo van Iersel , Vincent Moulton

Tree-child networks are one of the most prominent network classes for modeling evolutionary processes which contain reticulation events. Several recent studies have addressed counting questions for {\it bicombining tree-child networks}…

Combinatorics · Mathematics 2022-03-16 Yu-Sheng Chang , Michael Fuchs , Hexuan Liu , Michael Wallner , Guan-Ru Yu

Phylogenetic networks are becoming of increasing interest to evolutionary biologists due to their ability to capture complex non-treelike evolutionary processes. From a combinatorial point of view, such networks are certain types of rooted…

Combinatorics · Mathematics 2019-10-21 Katharina T. Huber , Guillaume E. Scholz

Phylogenetic networks are mathematical structures for modeling and visualization of reticulation processes in the study of evolution. Galled networks, reticulation visible networks, nearly-stable networks and stable-child networks are the…

Populations and Evolution · Quantitative Biology 2015-10-02 Andreas D. M. Gunawan , Louxin Zhang

A normal network is uniquely determined by the set of phylogenetic trees that it displays. Given a set $\mathcal{P}$ of rooted binary phylogenetic trees, this paper presents a polynomial-time algorithm that reconstructs the unique binary…

Combinatorics · Mathematics 2024-07-10 Magnus Bordewich , Simone Linz , Charles Semple

Phylogenetic networks are a generalization of phylogenetic trees allowing for the representation of non-treelike evolutionary events such as hybridization. Typically, such networks have been analyzed based on their `level', i.e. based on…

Populations and Evolution · Quantitative Biology 2020-05-11 Mareike Fischer , Michelle Galla , Lina Herbst , Yangjing Long , Kristina Wicke
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