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Early literature on genome rearrangement modelling views the problem of computing evolutionary distances as an inherently combinatorial one. In particular, attention was given to estimating distances using the minimum number of events…

Populations and Evolution · Quantitative Biology 2023-01-12 Joshua Stevenson , Venta Terauds , Jeremy Sumner

Accurate estimation of evolutionary distances between taxa is important for many phylogenetic reconstruction methods. In the case of bacteria, distances can be estimated using a range of different evolutionary models, from single nucleotide…

Populations and Evolution · Quantitative Biology 2017-04-17 Stuart Serdoz , Attila Egri-Nagy , Jeremy Sumner , Barbara R. Holland , Peter D. Jarvis , Mark M. Tanaka , Andrew R. Francis

Genomic distance between two genomes, i.e., the smallest number of genome rearrangements required to transform one genome into the other, is often used as a measure of evolutionary closeness of the genomes in comparative genomics studies.…

Genomics · Quantitative Biology 2011-03-30 Shuai Jiang , Max A. Alekseyev

Genome rearrangements are events where large blocks of DNA exchange places during evolution. The analysis of these events is a promising tool for understanding evolutionary genomics, providing data for phylogenetic reconstruction based on…

Computational Complexity · Computer Science 2023-11-30 Luís Cunha , Ignasi Sau , Uéverton Souza

Of the many modern approaches to calculating evolutionary distance via models of genome rearrangement, most are tied to a particular set of genomic modelling assumptions and to a restricted class of allowed rearrangements. The "position…

Populations and Evolution · Quantitative Biology 2021-11-15 Venta Terauds , Joshua Stevenson , Jeremy Sumner

Genome rearrangement has been an active area of research in computational comparative genomics for the last three decades. While initially mostly an interesting algorithmic endeavor, now the practical application by applying rearrangement…

Computational Complexity · Computer Science 2025-07-23 Luís Cunha , Thiago Lopes , Uéverton Souza , Leonard Bohnenkämper , Marília D. V. Braga , Jens Stoye

During the course of evolution, an organism's genome can undergo changes that affect the large-scale structure of the genome. These changes include gene gain, loss, duplication, chromosome fusion, fission, and rearrangement. When gene gain…

Genomics · Quantitative Biology 2012-07-31 Birte Kehr , Knut Reinert , Aaron E. Darling

Understanding the dynamics of genome rearrangements is a major issue of phylogenetics. Phylogenetics is the study of species evolution. A major goal of the field is to establish evolutionary relationships within groups of species, in order…

Data Structures and Algorithms · Computer Science 2014-10-22 Antoine Thomas

We investigate the symmetry of circular genome rearrangement models, discuss the implementation of a new representation-theoretic method of calculating evolutionary distances between circular genomes, and give the results of some initial…

Populations and Evolution · Quantitative Biology 2017-12-05 Venta Terauds , Jeremy Sumner

This paper introduces a new way to define a genome rearrangement distance, using the concept of mean first passage time from probability theory. Crucially, this distance estimate provides a genuine metric on genome space. We develop the…

Populations and Evolution · Quantitative Biology 2020-01-06 Andrew Francis , Henry Wynn

Phylogenomics, even more so than traditional phylogenetics, needs to represent the uncertainty in evolutionary trees due to systematic error. Here we illustrate the analysis of genome-scale alignments of yeast, using robust measures of the…

Populations and Evolution · Quantitative Biology 2009-12-31 Peter J. Waddell , Ariful Azad

In comparative genomics, the rearrangement distance between two genomes (equal the minimal number of genome rearrangements required to transform them into a single genome) is often used for measuring their evolutionary remoteness.…

Genomics · Quantitative Biology 2014-01-03 Sergey Aganezov, , Max A. Alekseyev

Maximum parsimony distance is a measure used to quantify the dissimilarity of two unrooted phylogenetic trees. It is NP-hard to compute, and very few positive algorithmic results are known due to its complex combinatorial structure. Here we…

Data Structures and Algorithms · Computer Science 2020-04-07 Mark Jones , Steven Kelk , Leen Stougie

A classical problem in comparative genomics is to compute the rearrangement distance, that is the minimum number of large-scale rearrangements required to transform a given genome into another given genome. While the most traditional…

Data Structures and Algorithms · Computer Science 2020-07-16 Diego P. Rubert , Fábio V. Martinez , Marília D. V. Braga

Inferring the phylogenetic relationships among a sample of organisms is a fundamental problem in modern biology. While distance-based hierarchical clustering algorithms achieved early success on this task, these have been supplanted by…

Machine Learning · Computer Science 2025-12-03 Benjamin K. Rosenzweig , Matthew W. Hahn

The last decade brought a significant increase in the amount of data and a variety of new inference methods for reconstructing the detailed evolutionary history of various cancers. This brings the need of designing efficient procedures for…

Data Structures and Algorithms · Computer Science 2020-04-30 Giulia Bernardini , Paola Bonizzoni , Paweł Gawrychowski

Two genomes over the same set of gene families form a canonical pair when each of them has exactly one gene from each family. Different distances of canonical genomes can be derived from a structure called breakpoint graph, which represents…

Data Structures and Algorithms · Computer Science 2023-04-04 Marilia D. V. Braga , Leonie R. Brockmann , Katharina Klerx , Jens Stoye

Phylogenetic tree reconstruction is traditionally based on multiple sequence alignments (MSAs) and heavily depends on the validity of this information bottleneck. With increasing sequence divergence, the quality of MSAs decays quickly.…

Populations and Evolution · Quantitative Biology 2011-01-11 Roland F. Schwarz , William Fletcher , Frank Förster , Benjamin Merget , Matthias Wolf , Jörg Schultz , Florian Markowetz

Inversions, also sometimes called reversals, are a major contributor to variation among bacterial genomes, with studies suggesting that those involving small numbers of regions are more likely than larger inversions. Deletions may arise in…

Rings and Algebras · Mathematics 2023-07-11 Chad Clark , Julius Jonušas , James D. Mitchell , Andrew Francis

Genome rearrangements are evolutionary events that shuffle genomic architectures. Most frequent genome rearrangements are reversals, translocations, fusions, and fissions. While there are some more complex genome rearrangements such as…

Genomics · Quantitative Biology 2015-04-07 Nikita Alexeev , Rustem Aidagulov , Max A. Alekseyev
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