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Lateral gene transfer (LGT) is a common mechanism of non-vertical evolution where genetic material is transferred between two more or less distantly related organisms. It is particularly common in bacteria where it contributes to adaptive…

Probability · Mathematics 2012-06-18 Sebastien Roch , Sagi Snir

Combining a set of phylogenetic trees into a single phylogenetic network that explains all of them is a fundamental challenge in evolutionary studies. Existing methods are computationally expensive and can either handle only small numbers…

Populations and Evolution · Quantitative Biology 2023-04-07 Giulia Bernardini , Leo van Iersel , Esther Julien , Leen Stougie

Phylogenetic trees illustrate the evolutionary history of genes and species. In most cases, although genes evolve along with the species they belong to, a species tree and gene tree are not identical, because of evolutionary events at the…

Data Structures and Algorithms · Computer Science 2019-02-25 Damir Hasic , Eric Tannier

Phylogenetic networks generalize phylogenetic trees in order to model reticulation events. Although the comparison of phylogenetic trees is well studied, and there are multiple ways to do it in an efficient way, the situation is much…

Populations and Evolution · Quantitative Biology 2023-02-21 Gabriel Cardona , Joan Carles Pons , Gerard Ribas , Tomás Martínez Coronado

Inference of phylogenetic networks is of increasing interest in the genomic era. However, the extent to which phylogenetic networks are identifiable from various types of data remains poorly understood, despite its crucial role in…

Populations and Evolution · Quantitative Biology 2025-05-01 Elizabeth S. Allman , Cecile Ane , Hector Banos , John A. Rhodes

As an alternative to parsimony analyses, stochastic models have been proposed (Lewis, 2001), (Nylander, et al., 2004) for morphological characters, so that maximum likelihood or Bayesian analyses may be used for phylogenetic inference. A…

Populations and Evolution · Quantitative Biology 2009-12-20 Elizabeth S. Allman , Mark T. Holder , John A. Rhodes

Horizontal gene transfer inference approaches are usually based on gene sequences: parametric methods search for patterns that deviate from a particular genomic signature, while phylogenetic methods use sequences to reconstruct the gene and…

Discrete Mathematics · Computer Science 2023-12-06 Alitzel López Sánchez , Manuel Lafond

Phylogenetic mixture models, in which the sites in sequences undergo different substitution processes along the same or different trees, allow the description of heterogeneous evolutionary processes. As data sets consisting of longer…

Populations and Evolution · Quantitative Biology 2012-07-17 Elizabeth S. Allman , John A. Rhodes , Seth Sullivant

Phylogenetic trees are widely used to display estimates of how groups of species evolved. Each phylogenetic tree can be seen as a collection of clusters, subgroups of the species that evolved from a common ancestor. When phylogenetic trees…

Populations and Evolution · Quantitative Biology 2009-10-19 Leo van Iersel , Steven Kelk , Regula Rupp , Daniel Huson

Much evidence from biological theory and empirical data indicates that, gene tree, phylogenetic trees reconstructed from different genes (loci), do not have to have exactly the same tree topologies. Such incongruence between gene trees…

Populations and Evolution · Quantitative Biology 2023-07-13 Ruriko Yoshida , David Barnhill , Keiji Miura , Daniel Howe

We prove that the tree-width of graphs in a hereditary class defined by a finite set $F$ of forbidden induced subgraphs is bounded if and only if $F$ includes a complete graph, a complete bipartite graph, a tripod (a forest in which every…

Combinatorics · Mathematics 2021-01-06 Vadim Lozin , Igor Razgon

Galled trees, directed acyclic graphs that model evolutionary histories with isolated hybridization events, have become very popular due to both their biological significance and the existence of polynomial time algorithms for their…

Populations and Evolution · Quantitative Biology 2009-06-08 Gabriel Cardona , Merce Llabres , Francesc Rossello , Gabriel Valiente

Phylogenetic networks are rooted, labelled directed acyclic graphs which are commonly used to represent reticulate evolution. There is a close relationship between phylogenetic networks and multi-labelled trees (MUL-trees). Indeed, any…

Populations and Evolution · Quantitative Biology 2015-06-16 Katharina T. Huber , Vincent Moulton , Mike Steel , Taoyang Wu

Evolving multiplex networks are a powerful model for representing the dynamics along time of different phenomena, such as social networks, power grids, biological pathways. However, exploring the structure of the multiplex network time…

Physics and Society · Physics 2016-01-11 Giuseppe Jurman

The log-det distance between two aligned DNA sequences was introduced as a tool for statistically consistent inference of a gene tree under simple non-mixture models of sequence evolution. Here we prove that the log-det distance, coupled…

Populations and Evolution · Quantitative Biology 2018-06-14 Elizabeth S. Allman , Colby Long , John A. Rhodes

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…

Populations and Evolution · Quantitative Biology 2009-02-27 Gabriel Cardona , Merce Llabres , Francesc Rossello , Gabriel Valiente

We consider the problem of estimating the evolutionary history of a set of species (phylogeny or species tree) from several genes. It is known that the evolutionary history of individual genes (gene trees) might be topologically distinct…

Populations and Evolution · Quantitative Biology 2016-11-18 Gautam Dasarathy , Robert Nowak , Sebastien Roch

Given a set of species whose evolution is represented by a species tree, a gene family is a group of genes having evolved from a single ancestral gene. A gene family evolves along the branches of a species tree through various mechanisms,…

Combinatorics · Mathematics 2019-05-14 Cedric Chauve , Yann Ponty , Michael Wallner

Galled networks, directed acyclic graphs that model evolutionary histories with reticulation cycles containing only tree nodes, have become very popular due to both their biological significance and the existence of polynomial time…

Populations and Evolution · Quantitative Biology 2010-09-06 Gabriel Cardona , Merce Llabres , Francesc Rossello

Recent advances in Neural Machine Translation (NMT) show that adding syntactic information to NMT systems can improve the quality of their translations. Most existing work utilizes some specific types of linguistically-inspired tree…

Computation and Language · Computer Science 2018-08-29 Xinyi Wang , Hieu Pham , Pengcheng Yin , Graham Neubig