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Phylogenetic networks generalize phylogenetic trees by allowing reticulate evolutionary events such as horizontal gene transfer and hybridization. Among the many subclasses of phylogenetic networks, orchard networks have attracted…

种群与进化 · 定量生物学 2026-05-20 Peng Li , Zhiwei Liu , Yangjing Long

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…

种群与进化 · 定量生物学 2007-08-28 Gabriel Cardona , Francesc Rossello , Gabriel Valiente

The subtree prune-and-regraft (SPR) distance metric is a fundamental way of comparing evolutionary trees. It has wide-ranging applications, such as to study lateral genetic transfer, viral recombination, and Markov chain Monte Carlo…

离散数学 · 计算机科学 2016-11-09 Chris Whidden , Frederick A. Matsen

Phylogenetic trees are leaf-labelled trees used to model the evolution of species. Here we explore the practical impact of kernelization (i.e. data reduction) on the NP-hard problem of computing the TBR distance between two unrooted binary…

数据结构与算法 · 计算机科学 2023-08-21 Rim van Wersch , Steven Kelk , Simone Linz , Georgios Stamoulis

Phylogenetic networks are used in biology to represent evolutionary histories. The class of orchard phylogenetic networks was recently introduced for their computational benefits, without any biological justification. Here, we show that…

组合数学 · 数学 2021-10-22 Leo van Iersel , Remie Janssen , Mark Jones , Yukihiro Murakami

We develop a time-optimal $O(mn^2)$-time algorithm to construct the subtree prune-regraft (SPR) graph on a collection of m phylogenetic trees with n leaves. This improves on the previous bound of $O(mn^3)$. Such graphs are used to better…

数据结构与算法 · 计算机科学 2017-04-28 Chris Whidden , Frederick A. Matsen

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…

种群与进化 · 定量生物学 2020-05-11 Mareike Fischer , Michelle Galla , Lina Herbst , Yangjing Long , Kristina Wicke

Phylogenetic networks extend phylogenetic trees to model non-vertical inheritance, by which a lineage inherits material from multiple parents. The computational complexity of estimating phylogenetic networks from genome-wide data with…

种群与进化 · 定量生物学 2022-06-28 Jingcheng Xu , Cécile Ané

Phylogenetic networks are a special type of graph which generalize phylogenetic trees and that are used to model non-treelike evolutionary processes such as recombination and hybridization. In this paper, we consider {\em unrooted}…

组合数学 · 数学 2025-05-21 Katharina T. Huber , Simone Linz , Vincent Moulton

Rooted phylogenetic networks provide an explicit representation of the evolutionary history of a set $X$ of sampled species. In contrast to phylogenetic trees which show only speciation events, networks can also accommodate reticulate…

组合数学 · 数学 2021-01-01 Peter L. Erdos , Charles Semple , Mike Steel

In this article we study the treewidth of the \emph{display graph}, an auxiliary graph structure obtained from the fusion of phylogenetic (i.e., evolutionary) trees at their leaves. Earlier work has shown that the treewidth of the display…

离散数学 · 计算机科学 2017-04-03 Steven Kelk , Georgios Stamoulis , Taoyang Wu

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…

种群与进化 · 定量生物学 2017-11-21 Michael Hendriksen

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…

Agreement forests continue to play a central role in the comparison of phylogenetic trees since their introduction more than 25 years ago. More specifically, they are used to characterise several distances that are based on tree…

组合数学 · 数学 2025-09-23 Steven Kelk , Simone Linz , Charles Semple

The hybridization number problem requires us to embed a set of binary rooted phylogenetic trees into a binary rooted phylogenetic network such that the number of nodes with indegree two is minimized. However, from a biological point of view…

数据结构与算法 · 计算机科学 2016-09-05 Leo van Iersel , Steven Kelk , Georgios Stamoulis , Leen Stougie , Olivier Boes

Phylogenetic networks are a generalization of phylogenetic trees that are used to represent non-tree-like evolutionary histories that arise in organisms such as plants and bacteria, or uncertainty in evolutionary histories. An…

种群与进化 · 定量生物学 2017-12-08 Andrew Francis , Katharina Huber , Vincent Moulton

The number of the non-shared edges of two phylogenies is a basic measure of the dissimilarity between the phylogenies. The non-shared edges are also the building block for approximating a more sophisticated metric called the nearest…

数据结构与算法 · 计算机科学 2007-05-23 Wing-Kai Hon , Ming-Yang Kao , Tak-Wah Lam , Wing-Kin Sung , Siu-Ming Yiu

In the context of reconstructing phylogenetic networks from a collection of phylogenetic trees, several characterisations and subsequently algorithms have been established to reconstruct a phylogenetic network that collectively embeds all…

组合数学 · 数学 2023-08-21 Janosch Döcker , Simone Linz , Charles Semple

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…

种群与进化 · 定量生物学 2022-01-20 Sungsik Kong , Joan Carles Pons , Laura Kubatko , Kristina Wicke

The subtree prune-and-regraft (SPR) distance metric is a fundamental way of comparing evolutionary trees. It has wide-ranging applications, such as to study lateral genetic transfer, viral recombination, and Markov chain Monte Carlo…

数据结构与算法 · 计算机科学 2017-11-07 Chris Whidden , Frederick A. Matsen