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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…

种群与进化 · 定量生物学 2020-02-28 Gabriel Cardona , Louxin Zhang

Evolutionary histories for species that cross with one another or exchange genetic material can be represented by leaf-labelled, directed graphs called phylogenetic networks. A major challenge in the burgeoning area of phylogenetic networks…

数据结构与算法 · 计算机科学 2021-09-24 Leo van Iersel , Sjors Kole , Vincent Moulton , Leonie Nipius

Mutations of genetic sequences are often accompanied by their recombinations, known as phylogenetic networks. These networks are typically reconstructed from coalescent processes that may arise from optimal merging or fitting together a…

代数拓扑 · 数学 2024-08-28 Paweł Dłotko , Jan Felix Senge , Anastasios Stefanou

Supertree construction is the process by which a set of phylogenetic trees, each on a subset of the overall set X of species, is combined into a tree on the full set S. The traditional use of supertree methods is the assembly of a large…

种群与进化 · 定量生物学 2018-05-10 Tandy Warnow

A binary phylogenetic network on a taxon set $X$ is a rooted acyclic digraph in which the degree of each nonleaf node is three and its leaves (i.e.degree-one nodes) are uniquely labeled with the taxa of $X$. It is tree-child if each nonleaf…

种群与进化 · 定量生物学 2022-07-07 Yufeng Wu , Louxin Zhang

We analyse a maximum-likelihood approach for combining phylogenetic trees into a larger `supertree'. This is based on a simple exponential model of phylogenetic error, which ensures that ML supertrees have a simple combinatorial description…

种群与进化 · 定量生物学 2007-08-17 Mike Steel , Allen Rodrigo

We present a link-by-link rule-based method for constructing all members of the ensemble of spanning trees for any recursively generated, finitely articulated graph, such as the DGM net. The recursions allow for many large-scale properties…

物理与社会 · 物理学 2022-03-14 C. Tyler Diggans , Erik M. Bollt , Daniel ben-Avraham

Phylogenomics is a new field which applies to tools in phylogenetics to genome data. Due to a new technology and increasing amount of data, we face new challenges to analyze them over a space of phylogenetic trees. Because a space of…

组合数学 · 数学 2020-05-15 Ruriko Yoshida

Rooted phylogenetic networks are used to describe evolutionary histories that contain non-treelike evolutionary events such as hybridization and horizontal gene transfer. In some cases, such histories can be described by a phylogenetic…

种群与进化 · 定量生物学 2016-10-03 Laura Jetten , Leo van Iersel

In this paper, we lay the groundwork on the comparison of phylogenetic networks based on edge contractions and expansions as edit operations, as originally proposed by Robinson and Foulds to compare trees. We prove that these operations…

数据结构与算法 · 计算机科学 2025-02-21 Bertrand Marchand , Nadia Tahiri , Olivier Tremblay-Savard , Manuel Lafond

A binary phylogenetic network may or may not be obtainable from a tree by the addition of directed edges (arcs) between tree arcs. Here, we establish a precise and easily tested criterion (based on `2-SAT') that efficiently determines…

种群与进化 · 定量生物学 2015-05-25 Andrew R. Francis , Mike Steel

In a previous work, we gave a metric on the class of semibinary tree-sibling time consistent phylogenetic networks that is computable in polynomial time; in particular, the problem of deciding if two networks of this kind are isomorphic is…

种群与进化 · 定量生物学 2009-02-27 Gabriel Cardona , Merce Llabres , Francesc Rossello , Gabriel Valiente

Phylogenetic trees represent certain species and their likely ancestors. In such a tree, present-day species are leaves and an edge from u to v indicates that u is an ancestor of v. Weights on these edges indicate the phylogenetic distance.…

种群与进化 · 定量生物学 2025-10-08 Jannik Schestag

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

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…

种群与进化 · 定量生物学 2025-03-31 Katharina T. Huber , Darren Overman

Rooted phylogenetic networks are often used to represent conflicting phylogenetic signals. Given a set of clusters, a network is said to represent these clusters in the "softwired" sense if, for each cluster in the input set, at least one…

种群与进化 · 定量生物学 2011-03-10 Steven Kelk , Celine Scornavacca , Leo van Iersel

Tree containment problem is a fundamental problem in phylogenetic study, as it is used to verify a network model. It asks whether a given network contain a subtree that resembles a binary tree. The problem is NP-complete in general, even in…

种群与进化 · 定量生物学 2017-02-15 Andreas Gunawan

The problem of constructing an optimal rooted phylogenetic network from a set of rooted triplets is an NP-hard problem. In this paper, we present a heuristic algorithm called TripNet which tries to construct an optimal rooted phylogenetic…

数据结构与算法 · 计算机科学 2012-01-19 Hadi Poormohammadi , Changiz Eslahchi , Ruzbeh Tusserkani

Phylogenetic trees are leaf-labelled trees used to model the evolution of species. In practice it is not uncommon to obtain two topologically distinct trees for the same set of species, and this motivates the use of distance measures to…

数据结构与算法 · 计算机科学 2026-03-24 David Mestel , Steven Chaplick , Steven Kelk , Ruben Meuwese

Metrics on rooted phylogenetic trees are integral to a number of areas of phylogenetic analysis. Cluster-similarity metrics have recently been introduced in order to limit skew in the distribution of distances, and to ensure that trees in…

种群与进化 · 定量生物学 2019-11-26 Michael Hendriksen , Andrew Francis