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Related papers: Transformations to simplify phylogenetic networks

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Phylogenetic networks are used to represent the evolutionary history of species. They are versatile when compared to traditional phylogenetic trees, as they capture more complex evolutionary events such as hybridization and horizontal gene…

Combinatorics · Mathematics 2023-05-18 Shunsuke Maeda , Yusuke Kaneko , Hideaki Muramatsu , Yukihiro Murakami , Momoko Hayamizu

The Tree of Life is the graphical structure that represents the evolutionary process from single-cell organisms at the origin of life to the vast biodiversity we see today. Reconstructing this tree from genomic sequences is challenging due…

Populations and Evolution · Quantitative Biology 2020-10-06 Claudia Solis-Lemus , Arrigo Coen , Cecile Ane

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

Scientists world-wide are putting together massive efforts to understand how the biodiversity that we see on Earth evolved from single-cell organisms at the origin of life and this diversification process is represented through the Tree of…

Populations and Evolution · Quantitative Biology 2023-12-22 Xudong Tang , Leonardo Zepeda-Nunez , Shengwen Yang , Zelin Zhao , Claudia Solis-Lemus

Horizontal gene transfer (HGT) is an important process in bacterial evolution. Current phylogeny-based approaches to capture it cannot however appropriately account for the fact that HGT can occur between bacteria living in different…

Populations and Evolution · Quantitative Biology 2025-03-31 Katharina T. Huber , Darren Overman

Unrooted phylogenetic networks are graphs used to represent evolutionary relationships. Accurately reconstructing such networks is of great relevance for evolutionary biology. It has recently been conjectured that all phylogenetic networks…

Combinatorics · Mathematics 2021-01-01 Péter L. Erdős , Leo van Iersel , Mark Jones

Phylogenetic networks are graphs that are used to represent evolutionary relationships between different taxa. They generalize phylogenetic trees since for example, unlike trees, they permit lineages to combine. Recently, there has been…

Populations and Evolution · Quantitative Biology 2025-08-05 Katharina T. Huber , Leo van Iersel , Mark Jones , Vincent Moulton , Leonie Veenema - Nipius

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

In evolutionary biology, phylogenetic networks are graphs that provide a flexible framework for representing complex evolutionary histories that involve reticulate evolutionary events. Recently phylogenetic studies have started to focus on…

Populations and Evolution · Quantitative Biology 2025-11-17 Niels Holtgrefe , Katharina T. Huber , Leo van Iersel , Mark Jones , Vincent Moulton

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

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 mutation process for a set of such species can be modeled as a…

Populations and Evolution · Quantitative Biology 2022-11-23 Travis Barton , Elizabeth Gross , Colby Long , Joseph Rusinko

Phylogenetic networks model reticulate evolutionary histories. The last two decades have seen an increased interest in establishing mathematical results and developing computational methods for inferring and analyzing these networks. A…

Populations and Evolution · Quantitative Biology 2016-06-24 Jiafan Zhu , Yun Yu , Luay Nakhleh

Phylogenetic trees describe the evolutionary history of a group of present-day species from a common ancestor. These trees are typically reconstructed from aligned DNA sequence data. In this paper we analytically address the following…

Populations and Evolution · Quantitative Biology 2008-07-14 Mike Steel , Laszlo Szekely , Elchanan Mossel

Rooted phylogenetic networks are used by biologists to infer and represent complex evolutionary relationships between species that cannot be accurately explained by a phylogenetic tree. Tree-child networks are a particular class of rooted…

Combinatorics · Mathematics 2024-09-02 Janosch Döcker , Simone Linz

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 leaves, then the resulting network may no longer lie within…

Populations and Evolution · Quantitative Biology 2025-09-24 Michael Fuchs , Mike Steel

Rooted phylogenetic networks are often constructed by combining trees, clusters, triplets or characters into a single network that in some well-defined sense simultaneously represents them all. We review these four models and investigate…

Populations and Evolution · Quantitative Biology 2010-04-30 Leo van Iersel , Steven Kelk

Phylogenetic networks are a type of directed acyclic graph that represent how a set $X$ of present-day species are descended from a common ancestor by processes of speciation and reticulate evolution. In the absence of reticulate evolution,…

Combinatorics · Mathematics 2017-08-11 Andrew Francis , Charles Semple , Mike Steel

An important problem in phylogenetics is the construction of phylogenetic trees. One way to approach this problem, known as the supertree method, involves inferring a phylogenetic tree with leaves consisting of a set $X$ of species from a…

Populations and Evolution · Quantitative Biology 2017-11-21 Katharine T. Huber , Vincent Moulton , Charles Semple , Taoyang Wu

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

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