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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

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

Motivation: While the majority of gene histories found in a clade of organisms are expected to be generated by a common process (e.g. the coalescent process), it is well-known that numerous other coexisting processes (e.g. horizontal gene…

基因组学 · 定量生物学 2014-04-23 Grady Weyenberg , Peter Huggins , Christopher Schardl , Daniel K Howe , Ruriko Yoshida

A merge tree is a fundamental topological structure used to capture the sub-level set (and similarly, super-level set) topology in scalar data analysis. The interleaving distance is a theoretically sound, stable metric for comparing merge…

计算几何 · 计算机科学 2026-02-13 Althaf P , Amit Chattopadhyay , Osamu Saeki

A classical result, fundamental to evolutionary biology, states that an edge-weighted tree $T$ with leaf set $X$, positive edge weights, and no vertices of degree 2 can be uniquely reconstructed from the set of leaf-to-leaf distances…

种群与进化 · 定量生物学 2011-07-15 A. W. M. Dress , K. T. Huber , M. Steel

We present a new method for inferring species trees from multi-copy gene trees. Our method is based on a generalization of the Robinson-Foulds (RF) distance to multi-labeled trees (mul-trees), i.e., gene trees in which multiple leaves can…

数据结构与算法 · 计算机科学 2012-10-10 Ruchi Chaudhary , J. Gordon Burleigh , David Fernández-Baca

An evolutionary tree is a cascade of bifurcations starting from a single common root, generating a growing set of daughter species as time goes by. Species here is a general denomination for biological species, spoken languages or any other…

定量方法 · 定量生物学 2013-08-26 Paulo Murilo Castro de Oliveira

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

The inability to resolve deep node relationships of highly divergent/rapidly evolving protein families is a major factor that stymies evolutionary studies. In this manuscript, we propose a Multiple Sequence Alignment (MSA) independent…

Phylogenetic networks provide a way to describe and visualize evolutionary histories that have undergone so-called reticulate evolutionary events such as recombination, hybridization or horizontal gene transfer. The level k of a network…

种群与进化 · 定量生物学 2008-07-21 Leo van Iersel , Steven Kelk , Matthias Mnich

Rearrangement operations transform a phylogenetic tree into another one and hence induce a metric on the space of phylogenetic trees. Popular operations for unrooted phylogenetic trees are NNI (nearest neighbour interchange), SPR (subtree…

组合数学 · 数学 2019-12-24 Remie Janssen , Jonathan Klawitter

Statistical phylogenetic inference methods use tree rearrangement operations to perform either hill-climbing local search or Markov chain Monte Carlo across tree topologies. The canonical class of such moves are the subtree-prune-regraft…

离散数学 · 计算机科学 2015-11-05 Chris Whidden , Frederick A. Matsen

Reciprocal best match graphs (RBMGs) are vertex colored graphs whose vertices represent genes and the colors the species where the genes reside. Edges identify pairs of genes that are most closely related with respect to an underlying…

计算复杂性 · 计算机科学 2019-07-23 Marc Hellmuth , Manuela Geiß , Peter F. Stadler

Phylogenetically decisive collections of taxon sets have the property that if trees are chosen for each of their elements, as long as these trees are compatible, the resulting supertree is unique. This means that as long as the trees…

种群与进化 · 定量生物学 2025-05-29 Mareike Fischer , Janne Pott

A phylogenetic tree is an important way in Bioinformatics to find the evolutionary relationship among biological species. In this research, a proposed model is described for the estimation of a phylogenetic tree for a given set of data. To…

种群与进化 · 定量生物学 2025-09-03 S M Rafiuddin

Recent work has proven the existence of extreme inbreeding in a European ancestry sample taken from the contemporary UK population \cite{nature_01}. This result brings our attention again to a math problem related to inbreeding family trees…

种群与进化 · 定量生物学 2021-09-08 C. Jarne , F A. Gómez Albarracín , M. Caruso

Evolutionary scenarios describing the evolution of a family of genes within a collection of species comprise the mapping of the vertices of a gene tree $T$ to vertices and edges of a species tree $S$. The relative timing of the last common…

种群与进化 · 定量生物学 2023-08-03 David Schaller , Tom Hartmann , Manuel Lafond , Nicolas Wieseke , Peter F. Stadler , Marc Hellmuth

We investigated testing the likelihood of a phylogenetic tree by comparison to its subtree pruning and regrafting (SPR) neighbors, with or without re-optimizing branch lengths. This is inspired by aspects of Bayesian significance tests, and…

应用统计 · 统计学 2014-07-30 Thurston H. Y. Dang , Elchanan Mossel

Genome rearrangement is a common model for molecular evolution. In this paper, we consider the Pairwise Rearrangement problem, which takes as input two genomes and asks for the number of minimum-length sequences of permissible operations…

The reconstruction of phylogenetic trees from mixed populations has become important in the study of cancer evolution, as sequencing is often performed on bulk tumor tissue containing mixed populations of cells. Recent work has shown how to…

数据结构与算法 · 计算机科学 2016-04-12 Mohammed El-Kebir , Gryte Satas , Layla Oesper , Benjamin J. Raphael