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Establishing a distance between genomes is a significant problem in computational genomics, because its solution can be used to establish evolutionary relationships including phylogeny. The "double cut and join" (DCJ) model of chromosomal…

Group Theory · Mathematics 2014-09-26 Sangeeta Bhatia , Attila Egri-Nagy , Andrew R. Francis

The inversion distance, that is the distance between two unichromosomal genomes with the same content allowing only inversions of DNA segments, can be exactly computed thanks to a pioneering approach of Hannenhalli and Pevzner from 1995. In…

Data Structures and Algorithms · Computer Science 2019-10-01 Eyla Willing , Jens Stoye , Marília D. V. Braga

A "genome structure" is a labeled directed graph with vertices of degree 1 or 2. A set of operations over such graphs is fixed, and each of the operations has a certain cost, a strictly positive number. The transformation problem consists…

Combinatorics · Mathematics 2020-04-30 K. Yu. Gorbunov , V. A. Lyubetsky

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

In this work, we explore heuristics for the Adjacency Graph Packing problem, which can be applied to the Double Cut and Join (DCJ) Distance Problem. The DCJ is a rearrangement operation and the distance problem considering it is a well…

Quantitative Methods · Quantitative Biology 2025-01-15 Gabriel Siqueira , Alexsandro Oliveira Alexandrino , Andre Rodrigues Oliveira , Zanoni Dias

In this paper, we study the problem of sorting unichromosomal linear genomes by prefix double-cut-and-joins (or DCJs) in both the signed and the unsigned settings. Prefix DCJs cut the leftmost segment of a genome and any other segment, and…

Data Structures and Algorithms · Computer Science 2022-08-31 Guillaume Fertin , Géraldine Jean , Anthony Labarre

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

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

The computation of genomic distances has been a very active field of computational comparative genomics over the last 25 years. Substantial results include the polynomial-time computability of the inversion distance by Hannenhalli and…

Data Structures and Algorithms · Computer Science 2021-08-11 Leonard Bohnenkämper , Marília D. V. Braga , Daniel Doerr , Jens Stoye

The circular median problem in the Double-Cut-and-Join (DCJ) distance asks to find, for three given genomes, a fourth circular genome that minimizes the sum of the mutual distances with the three other ones. This problem has been shown to…

Discrete Mathematics · Computer Science 2011-11-28 Ahmad Mahmoody-Ghaidary , Cedric Chauve , Ladislav Stacho

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

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

We present a data structure called a history graph that offers a practical basis for the analysis of genome evolution. It conceptually simplifies the study of parsimonious evolutionary histories by representing both substitutions and double…

Genomics · Quantitative Biology 2014-05-13 Benedict Paten , Daniel R. Zerbino , Glenn Hickey , David Haussler

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

The Single Cut or Join (SCJ) operation on genomes, generalizing chromosome evolution by fusions and fissions, is the computationally simplest known model of genome rearrangement. While most genome rearrangement problems are already hard…

Computational Engineering, Finance, and Science · Computer Science 2013-04-09 Istvan Miklos , Sandor Z. Kiss , Eric Tannier

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

The study of genome rearrangement has many flavours, but they all are somehow tied to edit distances on variations of a multi-graph called the breakpoint graph. We study a weighted 2-break distance on Eulerian 2-edge-colored multi-graphs,…

Data Structures and Algorithms · Computer Science 2018-10-24 Pijus Simonaitis , Annie Chateau , Krister M. Swenson

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

Considering a pair of genomes, the goal of rearrangement distance problems is to estimate how distant these genomes are from each other based on genome rearrangements. Seminal works in genome rearrangements assumed that both genomes being…

Data Structures and Algorithms · Computer Science 2024-05-21 Alexsandro Oliveira Alexandrino

Genome editing allows scientists to change an organism's DNA. One promising genome editing protocol, already validated in living organisms, is based on clustered regularly interspaced short palindromic repeats (CRISPR)/Cas protein-nucleic…

Biological Physics · Physics 2019-07-25 Angana Ray , Rosa Di Felice
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