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The first step in any genome assembly algorithm entails the conversion from the domain of strings and overlaps to the language of graphs and paths, typically using one of the two conventional methods: de Bruijn graphs or overlap graphs.…

Genomics · Quantitative Biology 2026-04-27 Anton Bankevich

This paper is focused in designing an efficient on-line algorithm to reconstruct a DNA sequence and search the genes in it, we assume that the segment have no mutation or reading error, the algorithm is based on de Bruijn Graph for…

Data Structures and Algorithms · Computer Science 2017-06-12 Juan David Arcila Moreno , Santiago Passos , Mauricio Toro

The reduction of the fragment assembly problem to (variations of) the classical Eulerian trail problem [Pevzner et al., PNAS 2001] has led to remarkable progress in genome assembly. This reduction employs the notion of de Bruijn graph…

Data Structures and Algorithms · Computer Science 2025-10-17 Ben Bals , Sebastiaan van Krieken , Solon P. Pissis , Leen Stougie , Hilde Verbeek

De novo DNA assembly is a fundamental task in Bioinformatics, and finding Eulerian paths on de Bruijn graphs is one of the dominant approaches to it. In most of the cases, there may be no one order for the de Bruijn graph that works well…

Data Structures and Algorithms · Computer Science 2018-05-15 Diego Díaz-Domínguez , Djamal Belazzougui , Travis Gagie , Veli Mäkinen , Gonzalo Navarro , Simon J. Puglisi

De novo genome assembly focuses on finding connections between a vast amount of short sequences in order to reconstruct the original genome. The central problem of genome assembly could be described as finding a Hamiltonian path through a…

Machine Learning · Computer Science 2020-11-11 Lovro Vrček , Petar Veličković , Mile Šikić

The main challenge in de novo assembly of NGS data is certainly to deal with repeats that are longer than the reads. This is particularly true for RNA- seq data, since coverage information cannot be used to flag repeated sequences, of which…

Data Structures and Algorithms · Computer Science 2014-06-05 Gustavo Sacomoto , Blerina Sinaimeri , Camille Marchet , Vincent Miele , Marie-France Sagot , Vincent Lacroix

High read depth can be used to assemble short sequence repeats. The existing genome assemblers fail in repetitive regions of longer than average read. I propose a new algorithm for a DNA assembly which uses the relative frequency of reads…

Genomics · Quantitative Biology 2015-01-08 Robert M. Nowak

Genome assembly is a prominent problem studied in bioinformatics, which computes the source string using a set of its overlapping substrings. Classically, genome assembly uses assembly graphs built using this set of substrings to compute…

Data Structures and Algorithms · Computer Science 2024-09-24 Saumya Talera , Parth Bansal , Shabnam Khan , Shahbaz Khan

DNA sequencing is the process of determining the exact order of the nucleotide bases of an individual's genome in order to catalogue sequence variation and understand its biological implications. Whole-genome sequencing techniques produce…

Data Structures and Algorithms · Computer Science 2015-09-18 Ljiljana Brankovic , Costas S. Iliopoulos , Ritu Kundu , Manal Mohamed , Solon P. Pissis , Fatima Vayani

Earlier formulations of the DNA assembly problem were all in the context of perfect assembly; i.e., given a set of reads from a long genome sequence, is it possible to perfectly reconstruct the original sequence? In practice, however, it is…

Information Theory · Computer Science 2016-05-09 Ilan Shomorony , Govinda M. Kamath , Fei Xia , Thomas A. Courtade , David N. Tse

Assembling genomic sequences from a set of overlapping reads is one of the most fundamental problems in computational biology. Algorithms addressing the assembly problem fall into two broad categories -- based on the data structures which…

Data Structures and Algorithms · Computer Science 2010-03-10 Vamsi Kundeti , Sanguthevar Rajasekaran , Hieu Dinh

A quest to determine the complete sequence of a human DNA from telomere to telomere started three decades ago and was finally completed in 2021. This accomplishment was a result of a tremendous effort of numerous experts who engineered…

Genomics · Quantitative Biology 2022-06-03 Lovro Vrček , Xavier Bresson , Thomas Laurent , Martin Schmitz , Mile Šikić

We introduce a new concept of a subgraph class called a superbubble for analyzing assembly graphs, and propose an efficient algorithm for detecting it. Most assembly algorithms utilize assembly graphs like the de Bruijn graph or the overlap…

Data Structures and Algorithms · Computer Science 2013-08-02 Taku Onodera , Kunihiko Sadakane , Tetsuo Shibuya

We present a framework for the design of optimal assembly algorithms for shotgun sequencing under the criterion of complete reconstruction. We derive a lower bound on the read length and the coverage depth required for reconstruction in…

Genomics · Quantitative Biology 2013-02-20 Guy Bresler , Ma'ayan Bresler , David Tse

de Bruijn graph-based algorithms are one of the two most widely used approaches for de novo genome assembly. A major limitation of this approach is the large computational memory space requirement to construct the de Bruijn graph, which…

Data Structures and Algorithms · Computer Science 2011-07-11 Chengxi Ye , Zhanshan Sam Ma , Charles H. Cannon , Mihai Pop , Douglas W. Yu

Branched junction molecule assembly of DNA nanostructures, pioneered by Seeman's laboratory in the 1980s, has become increasingly sophisticated, as have the assembly targets. A critical design step is finding minimal sets of branched…

Combinatorics · Mathematics 2021-08-03 Leyda Almodóvar , Jo Ellis-Monaghan , Amanda Harsy , Cory Johnson , Jessica Sorrells

DNA self-assembly is an important tool that has a wide range of applications such as building nanostructures, the transport of target virotherapies, and nano-circuitry. Tools from graph theory can be used to encode the biological process of…

Combinatorics · Mathematics 2023-10-09 Cory Johnson , Andrew Lavengood-Ryan

The repeat content and heterozygosity rate of a target genome are important factors in determining the feasibility of achieving a complete telomere-to-telomere assembly. The mathematical relationship between the required coverage and read…

Information Theory · Computer Science 2025-04-08 Daanish Mahajan , Chirag Jain , Navin Kashyap

Genome assembly using high throughput data with short reads, arguably, remains an unresolvable task in repetitive genomes, since when the length of a repeat exceeds the read length, it becomes difficult to unambiguously connect the flanking…

Quantitative Methods · Quantitative Biology 2013-07-31 Viraj Deshpande , Eric DK Fung , Son Pham , Vineet Bafna

The Watson-Crick complementary properties of DNA make DNA a useful tool for the self-assembly of various target complexes. Concepts from graph theory can be used to model the self-assembling process in which the vertices of the graph…

Combinatorics · Mathematics 2023-02-28 Gabriel Lopez , Cory Johnson
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