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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

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

In computational genomics, many analyses rely on efficient storage and traversal of $k$-mers, motivating compact representations such as spectrum-preserving string sets (SPSS), which store strings whose $k$-mer spectrum matches that of the…

Data Structures and Algorithms · Computer Science 2026-02-24 Sankardeep Chakraborty , Roberto Grossi , Ren Kimura , Giulia Punzi , Kunihiko Sadakane , Wiktor Zuba

Converting a set of sequencing reads into a lossless compact data structure that encodes all the relevant biological information is a major challenge. The classical approaches are to build the string graph or the de Bruijn graph. Each has…

Data Structures and Algorithms · Computer Science 2019-12-02 Diego Díaz-Domínguez , Travis Gagie , Gonzalo Navarro

Genome assembly from the high-throughput sequencing (HTS) reads is a fundamental yet challenging computational problem. An intrinsic challenge is the uncertainty caused by the widespread repetitive elements. Here we get around the…

Genomics · Quantitative Biology 2016-09-13 Anqi Wang , Zheng Li , Zhanyu Wang , Lei M. Li

The rapid expansion of genomic sequence data calls for new methods to achieve robust sequence representations. Existing techniques often neglect intricate structural details, emphasizing mainly contextual information. To address this, we…

Machine Learning · Computer Science 2023-12-08 Kacper Kapuśniak , Manuel Burger , Gunnar Rätsch , Amir Joudaki

Deep sequencing has enabled the investigation of a wide range of environmental microbial ecosystems, but the high memory requirements for {\em de novo} assembly of short-read shotgun sequencing data from these complex populations are an…

Genomics · Quantitative Biology 2015-06-03 Jason Pell , Arend Hintze , Rosangela Canino-Koning , Adina Howe , James M. Tiedje , C. Titus Brown

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

Complex networks contain complete subgraphs such as nodes, edges, triangles, etc., referred to as simplices and cliques of different orders. Notably, cavities consisting of higher-order cliques play an important role in brain functions.…

Neural and Evolutionary Computing · Computer Science 2021-11-02 Dinghua Shi , Zhifeng Chen , Xiang Sun , Qinghua Chen , Chuang Ma , Yang Lou , Guanrong Chen

We propose a new algorithm for merging succinct representations of de Bruijn graphs introduced in [Bowe et al. WABI 2012]. Our algorithm is based on the lightweight BWT merging approach by Holt and McMillan [Bionformatics 2014, ACM-BCB…

Data Structures and Algorithms · Computer Science 2020-09-10 Lavinia Egidi , Felipe A. Louza , Giovanni Manzini

A de Bruijn sequence of order n over a k-symbol alphabet is a circular sequence where each length-n sequence occurs exactly once. We present a way of extending de Bruijn sequences by adding a new symbol to the alphabet: the extension is…

Discrete Mathematics · Computer Science 2020-11-23 Verónica Becher , Lucas Cortés

De novo genome assembly is challenging in highly repetitive regions; however, reference-guided assemblers often suffer from bias. We propose a framework for pangenome-guided sequence assembly, which can resolve short-read data in complex…

Quantum Physics · Physics 2026-02-11 Josh Cudby , James Bonfield , Chenxi Zhou , Richard Durbin , Sergii Strelchuk

De Bruijn graphs are essential for sequencing data analysis and must be efficiently constructed and stored for large-scale population studies. They also need to be dynamic to allow updates such as adding or removing edges and nodes.…

Data Structures and Algorithms · Computer Science 2024-06-19 Riccardo Nigrelli

A graph has the unique path property UPP_n if there is a unique path of length n between any ordered pair of nodes. This paper reiterates Royle and MacKay's technique for constructing orderly algorithms. We wish to use this technique to…

Rings and Algebras · Mathematics 2007-05-23 Tim Boykett

We use modular arithmetic to construct a de Bruijn array containing all fillings of an L (a 2 x 2 array with the upper right corner removed) with digits chosen from {0,...,k-1}.

Combinatorics · Mathematics 2013-09-04 Lara Pudwell , Rachel Rockey

Genome sequencing is essential to decode genetic information, identify organisms, understand diseases and advance personalized medicine. A critical step in any genome sequencing technique is genome assembly. However, de novo genome…

Intersection graphs are well-studied in the area of graph algorithms. Some intersection graph classes are known to have algorithms enumerating all unlabeled graphs by reverse search. Since these algorithms output graphs one by one and the…

Data Structures and Algorithms · Computer Science 2022-12-15 Jun Kawahara , Toshiki Saitoh , Hirokazu Takeda , Ryo Yoshinaka , Yui Yoshioka

De novo genome assembly, i.e., rebuilding the sequence of an unknown genome from redundant and erroneous short sequences, is a key but computationally intensive step in many genomics pipelines. The exponential growth of genomic data is…

Distributed, Parallel, and Cluster Computing · Computer Science 2022-07-12 Giulia Guidi , Gabriel Raulet , Daniel Rokhsar , Leonid Oliker , Katherine Yelick , Aydin Buluc

One of the most computationally intensive tasks in computational biology is de novo genome assembly, the decoding of the sequence of an unknown genome from redundant and erroneous short sequences. A common assembly paradigm identifies…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-10-21 Giulia Guidi , Oguz Selvitopi , Marquita Ellis , Leonid Oliker , Katherine Yelick , Aydin Buluc

We introduce De Bruijn Graph Neural Networks (DBGNNs), a novel time-aware graph neural network architecture for time-resolved data on dynamic graphs. Our approach accounts for temporal-topological patterns that unfold in the causal topology…

Machine Learning · Computer Science 2022-09-20 Lisi Qarkaxhija , Vincenzo Perri , Ingo Scholtes