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A wide variety of problems in computational biology, most notably the assessment of orthology, are solved with the help of reciprocal best matches. Using an evolutionary definition of best matches that captures the intuition behind the…

The standard approach to estimate species trees is to align a selected set of genes, concatenate the alignments and then estimate a consensus tree. However, individual genes contain differing levels of evolutionary information, either…

种群与进化 · 定量生物学 2021-11-29 Ali Amiryousefi

We systematically study the computational complexity of a broad class of computational problems in phylogenetic reconstruction. The class contains for example the rooted triple consistency problem, forbidden subtree problems, the quartet…

计算复杂性 · 计算机科学 2017-08-15 Manuel Bodirsky , Peter Jonsson , Trung Van Pham

Given a graph where every vertex has exactly one labeled token, how can we most quickly execute a given permutation on the tokens? In (sequential) token swapping, the goal is to use the shortest possible sequence of swaps, each of which…

Supertree methods are tree reconstruction techniques that combine several smaller gene trees (possibly on different sets of species) to build a larger species tree. The question of interest is whether the reconstructed supertree converges…

种群与进化 · 定量生物学 2021-05-06 Lam Si Tung Ho , Vu Dinh

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

In this paper, we consider a tree inference problem motivated by the critical problem in single-cell genomics of reconstructing dynamic cellular processes from sequencing data. In particular, given a population of cells sampled from such a…

统计方法学 · 统计学 2025-07-16 Elodie Maignant , Tim Conrad , Christoph von Tycowicz

We study complexity of rearrangement problems in the generalized breakpoint model and settle several open questions. The model was introduced by Tannier et al. (2009) who showed that the median problem is solvable in polynomial time in the…

离散数学 · 计算机科学 2013-01-11 Jakub Kovac

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

An important problem in evolutionary biology is to reconstruct the evolutionary history of a set $X$ of species. This history is often represented as a phylogenetic network, that is, a connected graph with leaves labelled by elements in $X$…

组合数学 · 数学 2017-02-01 Leo van Iersel , Vincent Moulton

Comparisons of single-cell RNA sequencing (scRNA-seq) data across species can reveal links between cellular gene expression and the evolution of cell functions, features, and phenotypes. These comparisons invoke evolutionary histories, as…

种群与进化 · 定量生物学 2023-07-07 Samuel H. Church , Jasmine L. Mah , Casey W. Dunn

Phylogenetic (evolutionary) trees and networks are leaf-labeled graphs that are widely used to represent the evolutionary relationships between entities such as species, languages, cancer cells, and viruses. To reconstruct and analyze…

数据结构与算法 · 计算机科学 2023-08-21 Michael J. Dinneen , Pankaj S. Ghodla , Simone Linz

The goal of this paper is to study the similarity between sequences using a distance between the \emph{context} trees associated to the sequences. These trees are defined in the framework of \emph{Sparse Probabilistic Suffix Trees} (SPST),…

应用统计 · 统计学 2008-04-29 Florencia Leonardi , Sergio R. Matioli , Hugo A. Armelin , Antonio Galves

Quartet Reconstruction, the task of recovering a phylogenetic tree from smaller trees on four species called \textit{quartets}, is a well-studied problem in theoretical computer science with far-reaching connections to statistics, graph…

数据结构与算法 · 计算机科学 2026-04-21 Dionysis Arvanitakis , Vaggos Chatziafratis , Yiyuan Luo , Konstantin Makarychev

We consider the Wright-Fisher model for a population of $N$ individuals, each identified with a sequence of a finite number of sites, and single-crossover recombination between them. We trace back the ancestry of single individuals from the…

概率论 · 数学 2014-04-24 Ellen Baake , Ute von Wangenheim

Phylogenetic trees are often constructed by using a metric on the set of taxa that label the leaves of the tree. While there are a number of methods for constructing a tree using a given metric, such trees will only display the metric if it…

种群与进化 · 定量生物学 2019-08-26 Michael Hendriksen , Andrew Francis

Large scale databases are available that contain homologous gene families constructed from hundreds of complete genome sequences from across the three domains of Life. Here we discuss approches of increasing complexity aimed at extracting…

基因组学 · 定量生物学 2011-02-14 Gergely J Szöllősi , Vincent Daubin

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

We describe a kernel of size 9k-8 for the NP-hard problem of computing the Tree Bisection and Reconnect (TBR) distance k between two unrooted binary phylogenetic trees. We achieve this by extending the existing portfolio of reduction rules…

数据结构与算法 · 计算机科学 2022-09-21 Steven Kelk , Simone Linz , Ruben Meuwese

We introduce a simple algorithm for reconstructing phylogenies from multiple gene trees in the presence of incomplete lineage sorting, that is, when the topology of the gene trees may differ from that of the species tree. We show that our…

种群与进化 · 定量生物学 2011-09-30 Elchanan Mossel , Sebastien Roch
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