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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

Attempting to recognize a tree inside a phylogenetic network is a fundamental undertaking in evolutionary analysis. In the last few years, therefore, tree-based phylogenetic networks, which are defined by a spanning tree called a…

组合数学 · 数学 2020-09-29 Momoko Hayamizu

In phylogenetics, phylogenetic trees are rooted binary trees, whereas phylogenetic networks are rooted arbitrary acyclic digraphs. Edges are directed away from the root and leaves are uniquely labeled with taxa in phylogenetic networks. For…

种群与进化 · 定量生物学 2016-03-30 Andreas DM Gunawan , Bhaskar DasGupta , Louxin Zhang

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

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 a recent series of papers devoted to the…

种群与进化 · 定量生物学 2007-07-17 Gabriel Cardona , Francesc Rossello , Gabriel Valiente

Invariants for complicated objects such as those arising in phylogenetics, whether they are invariants as matrices, polynomials, or other mathematical structures, are important tools for distinguishing and working with such objects. In this…

种群与进化 · 定量生物学 2022-04-06 Joan Carles Pons , Tomás M. Coronado , Michael Hendriksen , Andrew Francis

A challenging problem in complex networks is the network reconstruction problem from data. This work deals with a class of networks denoted as conserved networks, in which a flow associated with every edge and the flows are conserved at all…

机器学习 · 计算机科学 2020-04-14 Satya Jayadev P. , Shankar Narasimhan , Nirav Bhatt

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…

组合数学 · 数学 2024-09-02 Janosch Döcker , Simone Linz

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,…

种群与进化 · 定量生物学 2019-10-15 Mareike Fischer , Andrew Francis

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…

种群与进化 · 定量生物学 2026-02-02 Qiang Zhang , Mike Steel

Phylogenetic networks generalize evolutionary trees, and are commonly used to represent evolutionary histories of species that undergo reticulate evolutionary processes such as hybridization, recombination and lateral gene transfer.…

种群与进化 · 定量生物学 2012-10-02 Leo van Iersel , Vincent Moulton

Binets and trinets are phylogenetic networks with two and three leaves, respectively. Here we consider the problem of deciding if there exists a binary level-1 phylogenetic network displaying a given set $\mathcal{T}$ of binary binets or…

数据结构与算法 · 计算机科学 2014-11-26 Katharina Huber , Leo van Iersel , Vincent Moulton , Celine Scornavacca , Taoyang Wu

Trees have long been used as a graphical representation of species relationships. However complex evolutionary events, such as genetic reassortments or hybrid speciations which occur commonly in viruses, bacteria and plants, do not fit into…

种群与进化 · 定量生物学 2017-07-24 Sebastien Roch , Kun-Chieh Wang

Phylogenetics is the study of the evolutionary relationships between organisms. One of the main challenges in the field is to take biological data for a group of organisms and to infer an evolutionary tree, a graph that represents these…

种群与进化 · 定量生物学 2019-06-05 Elizabeth Gross , Colby Long , Joseph Rusinko

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…

组合数学 · 数学 2020-03-13 Mathilde Bouvel , Philippe Gambette , Marefatollah Mansouri

The comprehensive characterization of the structure of complex networks is essential to understand the dynamical processes which guide their evolution. The discovery of the scale-free distribution and the small world property of real…

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 displayed tree phylogenetic network model is shown to sit as a natural submodel of the graphical model associated to a directed acyclic graph (DAG). This representation allows to derive a number of results about the displayed tree…

种群与进化 · 定量生物学 2025-08-01 Seth Sullivant

A phylogenetic tree is a graphical representation of an evolutionary history of taxa in which the leaves correspond to the taxa and the non-leaves correspond to speciations. One of important problems in phylogenetic analysis is to assemble…

组合数学 · 数学 2022-02-25 Hiroshi Hirai , Yuni Iwamasa

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…

种群与进化 · 定量生物学 2025-03-19 Michael Fuchs , Mike Steel , Qiang Zhang