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Covering alignment problems arise from recent developments in genomics; so called pan-genome graphs are replacing reference genomes, and advances in haplotyping enable full content of diploid genomes to be used as basis of sequence…

Computational Complexity · Computer Science 2018-05-23 Romeo Rizzi , Massimo Cairo , Veli Mäkinen , Alexandru I. Tomescu , Daniel Valenzuela

Pangenomes serve as a framework for joint analysis of genomes of related organisms. Several pangenome models were proposed, offering different functionalities, applications provided by available tools, their efficiency etc. Among them, two…

Genomics · Quantitative Biology 2025-03-20 Adam Cicherski , Norbert Dojer

Research shows that gene duplication followed by either repurposing or removal of duplicated genes is an important contributor to evolution of gene and protein interaction networks. We aim to identify which characteristics of a network can…

Molecular Networks · Quantitative Biology 2021-07-27 Peter Crawford-Kahrl , Robert R. Nerem , Bree Cummins , Tomas Gedeon

Deep generative models have achieved remarkable success in various data domains, including images, time series, and natural languages. There remain, however, substantial challenges for combinatorial structures, including graphs. One of the…

Machine Learning · Computer Science 2018-09-21 Tengfei Ma , Jie Chen , Cao Xiao

Pangenome variation graphs (PVGs) allow for the representation of genetic diversity in a more nuanced way than traditional reference-based approaches. Here we focus on how PVGs are a powerful tool for studying genetic variation in viruses,…

Genomics · Quantitative Biology 2025-06-18 Tim Downing

A topological approach to the study of genetic recombination, based on persistent homology, was introduced by Chan, Carlsson, and Rabad\'an in 2013. This associates a sequence of signatures called barcodes to genomic data sampled from an…

Algebraic Topology · Mathematics 2020-01-17 Michael Lesnick , Raúl Rabadán , Daniel I. S. Rosenbloom

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

Evolutionary algorithms usually explore a search space of solutions by means of crossover and mutation. While a mutation consists of a small, local modification of a solution, crossover mixes the genetic information of two solutions to…

Neural and Evolutionary Computing · Computer Science 2022-08-24 Henri Thölke , Jens Kosiol

Gene assembly is an intricate biological process that has been studied formally and modeled through string and graph rewriting systems. Recently, a restriction of the general (intramolecular) model, called simple gene assembly, has been…

Logic in Computer Science · Computer Science 2007-12-21 Robert Brijder , Hendrik Jan Hoogeboom

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

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

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

Directed cographs (di-cographs) play a crucial role in the reconstruction of evolutionary histories of genes based on homology relations which are binary relations between genes. A variety of methods based on pairwise sequence comparisons…

Discrete Mathematics · Computer Science 2018-05-04 Nikolai Nøjgaard , Nadia El-Mabrouk , Daniel Merkle , Nikolas Wieseke , Marc Hellmuth

The recent explosion of genomic data has underscored the need for interpretable and comprehensive analyses that can capture complex phylogenetic relationships within and across species. Recombination, reassortment and horizontal gene…

Quantitative Methods · Quantitative Biology 2016-09-28 Pablo G. Camara , Arnold J. Levine , Raul Rabadan

Gradual argumentation frameworks represent arguments and their relationships in a weighted graph. Their graphical structure and intuitive semantics makes them a potentially interesting tool for interpretable machine learning. It has been…

Machine Learning · Computer Science 2021-06-28 Jonathan Spieler , Nico Potyka , Steffen Staab

Genome rearrangements are events in which large blocks of DNA exchange pieces during evolution. The analysis of such events is a tool for understanding evolutionary genomics, based on finding the minimum number of rearrangements to…

Computational Complexity · Computer Science 2025-04-29 Luís Cunha , Thiago Lopes , Arnaud Mary

Recombination is a powerful evolutionary process that shapes the genetic diversity observed in the populations of many species. Reconstructing genealogies in the presence of recombination from sequencing data is a very challenging problem,…

Populations and Evolution · Quantitative Biology 2022-06-01 Elizabeth Hayman , Anastasia Ignatieva , Jotun Hein

For theoretical analyses there are two specifics distinguishing GP from many other areas of evolutionary computation. First, the variable size representations, in particular yielding a possible bloat (i.e. the growth of individuals with…

Neural and Evolutionary Computing · Computer Science 2018-05-28 Timo Kötzing , J. A. Gregor Lagodzinski , Johannes Lengler , Anna Melnichenko

Gene conversion is a mechanism by which a double-strand break in a DNA molecule is repaired using a homologous DNA molecule as a template. As a result, one gene is 'copied and pasted' onto the other gene. It was recently reported that the…

Populations and Evolution · Quantitative Biology 2013-04-08 Shuhei Mano

A Genome rearrangement problem studies large-scale mutations on a set of DNAs in living organisms. Various rearrangements like reversals, transpositions, translocations, fissions, fusions, and combinations and different variations have been…

Discrete Mathematics · Computer Science 2022-05-11 Pramod P Nair