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The longest common prefix array is a very advantageous data structure that, combined with the suffix array and the Burrows-Wheeler transform, allows to efficiently compute some combinatorial properties of a string useful in several…

Data Structures and Algorithms · Computer Science 2016-05-16 Anthony J. Cox , Fabio Garofalo , Giovanna Rosone , Marinella Sciortino

Indexing of very large collections of strings such as those produced by the widespread sequencing technologies, heavily relies on multi-string generalizations of the Burrows-Wheeler Transform (BWT), and for this problem various in-memory…

Data Structures and Algorithms · Computer Science 2016-07-29 Paola Bonizzoni , Gianluca Della Vedova , Serena Nicosia , Marco Previtali , Raffaella Rizzi

Due to the increased availability of large datasets of biological sequences, the tools for sequence comparison are now relying on efficient alignment-free approaches to a greater extent. Most of the alignment-free approaches require the…

Data Structures and Algorithms · Computer Science 2018-07-23 F. Garofalo , G. Rosone , M. Sciortino , D. Verzotto

Efficient and consistent string processing is critical in the exponentially growing genomic data era. Locally Consistent Parsing (LCP) addresses this need by partitioning an input genome string into short, exactly matching substrings (e.g.,…

Longest Common Subsequence ($LCS$) deals with the problem of measuring similarity of two strings. While this problem has been analyzed for decades, the recent interest stems from a practical observation that considering single characters is…

Data Structures and Algorithms · Computer Science 2018-05-25 Filip Pavetić , Ivan Katanić , Gustav Matula , Goran Žužić , Mile Šikić

Indexing very large collections of strings, such as those produced by the widespread next generation sequencing technologies, heavily relies on multistring generalization of the Burrows-Wheeler Transform (BWT): large requirements of…

Data Structures and Algorithms · Computer Science 2020-12-07 Paola Bonizzoni , Gianluca Della Vedova , Yuri Pirola , Marco Previtali , Raffaella Rizzi

We present a new scalable, lightweight algorithm to incrementally construct the BWT and FM-index of large string sets such as those produced by Next Generation Sequencing. The algorithm is designed for massive parallelism and can…

Data Structures and Algorithms · Computer Science 2014-10-03 Jacopo Pantaleoni

The suffix tree is a very important data structure in string processing, but it suffers from a huge space consumption. In large-scale applications, compressed suffix trees (CSTs) are therefore used instead. A CST consists of three…

Data Structures and Algorithms · Computer Science 2010-12-21 Simon Gog , Enno Ohlebusch

A major challenge in next-generation genome sequencing (NGS) is to assemble massive overlapping short reads that are randomly sampled from DNA fragments. To complete assembling, one needs to finish a fundamental task in many leading…

Genomics · Quantitative Biology 2015-05-26 Yang Li , XifengYan

Non-parametric entropy estimation on sequential data is a fundamental tool in signal processing, capturing information flow within or between processes to measure predictability, redundancy, or similarity. Methods based on longest common…

Data Structures and Algorithms · Computer Science 2025-10-16 Bridget Smart , Max Ward , Matthew Roughan

The longest common prefix (LCP) array is a versatile auxiliary data structure in indexed string matching. It can be used to speed up searching using the suffix array (SA) and provides an implicit representation of the topology of an…

Data Structures and Algorithms · Computer Science 2016-03-09 German Tischler

Deep neural networks (DNNs) have inspired new studies in myriad edge applications with robots, autonomous agents, and Internet-of-things (IoT) devices. However, performing inference of DNNs in the edge is still a severe challenge, mainly…

Signal Processing · Electrical Eng. & Systems 2020-11-18 Ramyad Hadidi , Bahar Asgari , Jiashen Cao , Younmin Bae , Da Eun Shim , Hyojong Kim , Sung-Kyu Lim , Michael S. Ryoo , Hyesoon Kim

Next Generation Sequencing (NGS) technologies generate large amounts of short read data for many different organisms. The fact that NGS reads are generally short makes it challenging to assemble the reads and reconstruct the original genome…

Genomics · Quantitative Biology 2015-04-07 Jie Ren , Kai Song , Minghua Deng , Gesine Reinert , Charles H. Cannon , Fengzhu Sun

(An updated version of this manuscript has been accepted to Scientific Reports in 2016, please refer to http://www.nature.com/articles/srep31900) The highly anticipated transition from next generation sequencing (NGS) to third generation…

Genomics · Quantitative Biology 2016-09-06 Chengxi Ye , Chris Hill , Shigang Wu , Jue Ruan , Zhanshan , Ma

Finding the common subsequences of $L$ multiple strings has many applications in the area of bioinformatics, computational linguistics, and information retrieval. A well-known result states that finding a Longest Common Subsequence (LCS)…

Data Structures and Algorithms · Computer Science 2020-09-09 Jin Cao , Dewei Zhong

We show that the Longest Common Prefix Array of a text collection of total size n on alphabet [1, {\sigma}] can be computed from the Burrows-Wheeler transformed collection in O(n log {\sigma}) time using o(n log {\sigma}) bits of working…

Data Structures and Algorithms · Computer Science 2019-01-23 Nicola Prezza , Giovanna Rosone

Advances in DNA sequencing technology have stimulated the development of algorithms and tools for processing very large collections of short strings (reads). Short-read alignment and assembly are among the most well-studied problems. Many…

Genomics · Quantitative Biology 2014-01-30 Chi-Man Liu , Ruibang Luo , Tak-Wah Lam

This note provides very simple, efficient algorithms for computing the number of distinct longest common subsequences of two input strings and for computing the number of LCS embeddings.

Data Structures and Algorithms · Computer Science 2007-05-23 Ronald I. Greenberg

The suffix array, perhaps the most important data structure in modern string processing, is often augmented with the longest common prefix (LCP) array which stores the lengths of the LCPs for lexicographically adjacent suffixes of a string.…

Data Structures and Algorithms · Computer Science 2017-02-27 Juha Kärkkäinen , Marcin Piątkowski , Simon J. Puglisi

Molecular sequence analysis is crucial for comprehending several biological processes, including protein-protein interactions, functional annotation, and disease classification. The large number of sequences and the inherently complicated…

Genomics · Quantitative Biology 2025-10-10 Sarwan Ali , Prakash Chourasia , Bipin Koirala , Murray Patterson
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