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This paper introduces a new family of reconstruction codes which is motivated by applications in DNA data storage and sequencing. In such applications, DNA strands are sequenced by reading some subset of their substrings. While previous…

Information Theory · Computer Science 2022-05-10 Yonatan Yehezkeally , Daniella Bar-Lev , Sagi Marcovich , Eitan Yaakobi

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

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

De novo genome assembly is the process of stitching short DNA sequences to generate longer DNA sequences, without using any reference sequence for alignment. It enables high-throughput genome sequencing and thus accelerates the discovery of…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-01-16 Da Yan , Hongzhi Chen , James Cheng , Zhenkun Cai , Bin Shao

A major hindrance to studies of microbial diversity has been that the vast majority of microbes cannot be cultured in the laboratory and thus are not amenable to traditional methods of characterization. Environmental shotgun sequencing…

Genomics · Quantitative Biology 2007-08-24 Sourav Chatterji , Ichitaro Yamazaki , Zhaojun Bai , Jonathan Eisen

At the core of high throughput DNA sequencing platforms lies a bio-physical surface process that results in a random geometry of clusters of homogenous short DNA fragments typically hundreds of base pairs long - bridge amplification. The…

Genomics · Quantitative Biology 2015-08-13 Eliza O'Reilly , Francois Baccelli , Gustavo de Veciana , Haris Vikalo

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

In the graph shotgun assembly problem, we are given the balls of radius $r$ around each vertex of a graph and asked to reconstruct the graph. We study the shotgun assembly of the Erd\H{o}s-R\'enyi random graph $\mathcal G(n,p)$ for a wide…

Combinatorics · Mathematics 2025-06-24 Tom Johnston , Gal Kronenberg , Alexander Roberts , Alex Scott

In just the last decade, a multitude of bio-technologies and software pipelines have emerged to revolutionize genomics. To further their central goal, they aim to accelerate and improve the quality of de novo whole-genome assembly starting…

Genomics · Quantitative Biology 2015-06-11 Francesco Vezzi , Giuseppe Narzisi , Bud Mishra

This paper introduces a new family of reconstruction codes which is motivated by applications in DNA data storage and sequencing. In such applications, DNA strands are sequenced by reading some subset of their substrings. While previous…

Information Theory · Computer Science 2023-04-21 Yonatan Yehezkeally , Daniella Bar-Lev , Sagi Marcovich , Eitan Yaakobi

The shotgun sequencing process involves fragmenting a long DNA sequence (input string) into numerous shorter, unordered, and overlapping segments (referred to as \emph{reads}). The reads are sequenced, and later aligned to reconstruct the…

Information Theory · Computer Science 2025-09-26 Mohammed Ihsan Ali , Hrishi Narayanan , Prasad Krishnan

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…

Genome assembly tools based on the de Bruijn graph framework rely on a parameter k, which represents a trade-off between several competing effects that are difficult to quantify. There is currently a lack of tools that would automatically…

Genomics · Quantitative Biology 2013-04-23 Rayan Chikhi , Paul Medvedev

With small-scale quantum processors transitioning from experimental physics labs to industrial products, these processors allow us to efficiently compute important algorithms in various fields. In this paper, we propose a quantum algorithm…

Quantum Physics · Physics 2020-05-22 Aritra Sarkar , Zaid Al-Ars , Carmen G. Almudever , Koen Bertels

Genome assembly is a fundamental problem in Bioinformatics, requiring to reconstruct a source genome from an assembly graph built from a set of reads (short strings sequenced from the genome). A notion of genome assembly solution is that of…

Discrete Mathematics · Computer Science 2021-11-03 Massimo Cairo , Shahbaz Khan , Romeo Rizzi , Sebastian Schmidt , Alexandru I. Tomescu , Elia C. Zirondelli

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

Mossel and Ross (2019) introduce the shotgun assembly problem for random graphs: what radius $R$ ensures that the random graph $G$ can be uniquely recovered from its list of rooted $R$-neighborhoods, with high probability? Here we consider…

Probability · Mathematics 2025-12-03 Brice Huang , Elchanan Mossel , Nike Sun , Claire Zhang , Leqi Zhou

In the shotgun assembly problem for a graph, we are given the empirical profile for rooted neighborhoods of depth $r$ (up to isomorphism) for some $r\geq 1$ and we wish to recover the underlying graph up to isomorphism. When the underlying…

Probability · Mathematics 2022-09-13 Jian Ding , Yiyang Jiang , Heng Ma

Aiming to generate easy-to-handle assembly sequences for robotic assembly, this study tackles assembly sequence generation by considering two tradeoff objectives: (1) insertion conditions and (2) degrees of constraints among assembled…

Robotics · Computer Science 2021-11-18 Takuya Kiyokawa , Jun Takamatsu , Tsukasa Ogasawara

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