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Rooted phylogenetic networks provide an explicit representation of the evolutionary history of a set $X$ of sampled species. In contrast to phylogenetic trees which show only speciation events, networks can also accommodate reticulate…

Combinatorics · Mathematics 2021-01-01 Peter L. Erdos , Charles Semple , Mike Steel

The inference of the evolutionary history of a collection of organisms is a problem of fundamental importance in evolutionary biology. The abundance of DNA sequence data arising from genome sequencing projects has led to significant…

Populations and Evolution · Quantitative Biology 2015-07-07 Julia Chifman , Laura Kubatko

The ongoing explosion of genome sequence data is transforming how we reconstruct and understand the histories of biological systems. Across biological scales, from individual cells to populations and species, trees-based models provide a…

Populations and Evolution · Quantitative Biology 2025-12-08 Yun Deng , Shing H. Zhan , Yulin Zhang , Chao Zhang , Bingjie Chen

One of the goals of phylogenetic research is to find the species tree describing the evolutionary history of a set of species. But the trees derived from geneti data with the help of tree inference methods are gene trees that need not…

Populations and Evolution · Quantitative Biology 2015-07-28 Mareike Fischer , Martin Kreidl

Phylogenetic trees are a central tool in understanding evolution. They are typically inferred from sequence data, and capture evolutionary relationships through time. It is essential to be able to compare trees from different data sources…

Populations and Evolution · Quantitative Biology 2017-10-31 Michelle Kendall , Caroline Colijn

In this paper, we consider the problem of reconstructing trees from traces in the tree edit distance model. Previous work by Davies et al. (2019) analyzed special cases of reconstructing labeled trees. In this work, we significantly expand…

Computational Complexity · Computer Science 2022-01-14 Thomas Maranzatto

One approach to estimating a species tree from a collection of gene trees is to first estimate probabilities of clades from the gene trees, and then to construct the species tree from the estimated clade probabilities. While a greedy…

Populations and Evolution · Quantitative Biology 2012-11-14 Elizabeth S. Allman , James H. Degnan , John A. Rhodes

With advances in sequencing technologies, there are now massive amounts of genomic data from across all life, leading to the possibility that a robust Tree of Life can be constructed. However, "gene tree heterogeneity", which is when…

Populations and Evolution · Quantitative Biology 2018-03-08 Sebastien Roch , Michael Nute , Tandy Warnow

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…

Populations and Evolution · Quantitative Biology 2021-11-29 Ali Amiryousefi

A wide range of applications and research has been done with genome-scale metabolic models. In this work we describe a methodology for comparing metabolic networks constructed from genome-scale metabolic models and how to apply this…

Molecular Networks · Quantitative Biology 2026-02-06 D. Gamermann , A. Montagud , J. A. Conejero , P. F. de Córdoba , J. F. Urchieguía

The problem of reconstructing evolutionary trees or phylogenies is of great interest in computational biology. A popular model for this problem assumes that we are given the set of leaves (current species) of an unknown binary tree and the…

Data Structures and Algorithms · Computer Science 2022-06-16 Eshwar Ram Arunachaleswaran , Anindya De , Sampath Kannan

Ancestral sequence reconstruction is a key task in computational biology. It consists in inferring a molecular sequence at an ancestral species of a known phylogeny, given descendant sequences at the tip of the tree. In addition to its many…

Populations and Evolution · Quantitative Biology 2022-07-27 Brandon Legried , Sebastien Roch

Phylogenetic networks represent evolutionary history of species and can record natural reticulate evolutionary processes such as horizontal gene transfer and gene recombination. This makes phylogenetic networks a more comprehensive…

Populations and Evolution · Quantitative Biology 2021-06-15 Remie Janssen , Pengyu Liu

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…

Quantitative Methods · Quantitative Biology 2013-08-26 Paulo Murilo Castro de Oliveira

We present an efficient phylogenetic reconstruction algorithm allowing insertions and deletions which provably achieves a sequence-length requirement (or sample complexity) growing polynomially in the number of taxa. Our algorithm is…

Probability · Mathematics 2013-02-25 Constantinos Daskalakis , Sebastien Roch

There are several tools available to infer phylogenetic trees, which depict the evolutionary relationships among biological entities such as viral and bacterial strains in infectious outbreaks, or cancerous cells in tumor progression trees.…

Data Structures and Algorithms · Computer Science 2023-12-22 António Pedro Branco , Cátia Vaz , Alexandre P. Francisco

Comparative analyses of phylogenetic trees typically require identical taxon sets, however, in practice, trees often include distinct but overlapping taxa. Pruning non-shared leaves discards phylogenetic signal, whereas tree completion can…

Populations and Evolution · Quantitative Biology 2026-04-28 Aleksandr Koshkarov , Nadia Tahiri

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…

Populations and Evolution · Quantitative Biology 2011-07-15 A. W. M. Dress , K. T. Huber , M. Steel

Gene gains and losses have shaped the gene repertoire of species since the universal last common ancestor to species today. Genes in extant species were gained at different historical times via de novo creation of new genes, duplication of…

Populations and Evolution · Quantitative Biology 2018-02-19 Haiming Tang , Paul Thomas , Haoran Xia

Reticulate evolutionary processes result in phylogenetic histories that cannot be modeled using a tree topology. Here, we apply methods from topological data analysis to molecular sequence data with reticulations. Using a simple example, we…

Quantitative Methods · Quantitative Biology 2015-11-05 Kevin Emmett , Raul Rabadan