Sequences and the de Bruijn Graph

Sequences and the de Bruijn Graph PDF Author: Tuvi Etzion
Publisher: Elsevier
ISBN: 0443135185
Category : Computers
Languages : en
Pages : 484

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Book Description
The de Bruijn graph was defined in 1949 to enumerate the number of closed sequences where each n-tuple appears exactly once as a window in a sequence. Through the years, the graph and its sequences have found numerous applications – in space technology, wireless communication, cryptography, parallel computation, genome assembly, DNA storage, and microbiome research, among others. Sequences and the de Bruijn Graph: Properties, Constructions, and Applications explores the foundations of theoretical mathematical concepts and the important applications to computer science, electrical engineering, and bioinformatics. The book introduces the various concepts, ideas, and techniques associated with the use of the de Bruijn Graph, providing comprehensive coverage of sequence classification, one-dimensional and two-dimensional applications, graphs, interconnected networks, layouts, and embedded systems. Researchers, graduate students, professors, and professionals working in the fields of applied mathematics, electrical engineering, computer science and bioinformatics will find this book useful. - Investigates computational and engineering applications associated with the de Bruijn graph, its sequences, and their generalization - Explores one-dimensional and two-dimensional sequences with special properties and their various properties and applications - Introduces the rich structure of the de Bruijn graph and its sequences, in both mathematical theory and its applications to computing and engineering problems

Sequences and the de Bruijn Graph

Sequences and the de Bruijn Graph PDF Author: Tuvi Etzion
Publisher: Elsevier
ISBN: 0443135185
Category : Computers
Languages : en
Pages : 484

Get Book Here

Book Description
The de Bruijn graph was defined in 1949 to enumerate the number of closed sequences where each n-tuple appears exactly once as a window in a sequence. Through the years, the graph and its sequences have found numerous applications – in space technology, wireless communication, cryptography, parallel computation, genome assembly, DNA storage, and microbiome research, among others. Sequences and the de Bruijn Graph: Properties, Constructions, and Applications explores the foundations of theoretical mathematical concepts and the important applications to computer science, electrical engineering, and bioinformatics. The book introduces the various concepts, ideas, and techniques associated with the use of the de Bruijn Graph, providing comprehensive coverage of sequence classification, one-dimensional and two-dimensional applications, graphs, interconnected networks, layouts, and embedded systems. Researchers, graduate students, professors, and professionals working in the fields of applied mathematics, electrical engineering, computer science and bioinformatics will find this book useful. - Investigates computational and engineering applications associated with the de Bruijn graph, its sequences, and their generalization - Explores one-dimensional and two-dimensional sequences with special properties and their various properties and applications - Introduces the rich structure of the de Bruijn graph and its sequences, in both mathematical theory and its applications to computing and engineering problems

Genome-Scale Algorithm Design

Genome-Scale Algorithm Design PDF Author: Veli Mäkinen
Publisher: Cambridge University Press
ISBN: 1009341219
Category : Computers
Languages : en
Pages : 470

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Book Description
Guided by standard bioscience workflows in high-throughput sequencing analysis, this book for graduate students, researchers, and professionals in bioinformatics and computer science offers a unified presentation of genome-scale algorithms. This new edition covers the use of minimizers and other advanced data structures in pangenomics approaches.

Algorithms in Bioinformatics

Algorithms in Bioinformatics PDF Author: Raffaele Giancarlo
Publisher: Springer
ISBN: 3540741267
Category : Computers
Languages : en
Pages : 443

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Book Description
The refereed proceedings from the 7th International Workshop on Algorithms in Bioinformatics are provided in this volume. Papers address current issues in algorithms in bioinformatics, ranging from mathematical tools to experimental studies of approximation algorithms to significant computational analyses. Biological problems examined include genetic mapping, sequence alignment and analysis, phylogeny, comparative genomics, and protein structure.

Next Generation Sequencing

Next Generation Sequencing PDF Author: Jerzy Kulski
Publisher: BoD – Books on Demand
ISBN: 9535122401
Category : Medical
Languages : en
Pages : 466

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Book Description
Next generation sequencing (NGS) has surpassed the traditional Sanger sequencing method to become the main choice for large-scale, genome-wide sequencing studies with ultra-high-throughput production and a huge reduction in costs. The NGS technologies have had enormous impact on the studies of structural and functional genomics in all the life sciences. In this book, Next Generation Sequencing Advances, Applications and Challenges, the sixteen chapters written by experts cover various aspects of NGS including genomics, transcriptomics and methylomics, the sequencing platforms, and the bioinformatics challenges in processing and analysing huge amounts of sequencing data. Following an overview of the evolution of NGS in the brave new world of omics, the book examines the advances and challenges of NGS applications in basic and applied research on microorganisms, agricultural plants and humans. This book is of value to all who are interested in DNA sequencing and bioinformatics across all fields of the life sciences.

Magical Mathematics

Magical Mathematics PDF Author: Persi Diaconis
Publisher: Princeton University Press
ISBN: 0691169772
Category : Crafts & Hobbies
Languages : en
Pages : 258

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Book Description
"Magical Mathematics reveals the secrets of amazing, fun-to-perform card tricks--and the profound mathematical ideas behind them--that will astound even the most accomplished magician. Persi Diaconis and Ron Graham provide easy, step-by-step instructions for each trick, explaining how to set up the effect and offering tips on what to say and do while performing it. Each card trick introduces a new mathematical idea, and varying the tricks in turn takes readers to the very threshold of today's mathematical knowledge. For example, the Gilbreath principle--a fantastic effect where the cards remain in control despite being shuffled--is found to share an intimate connection with the Mandelbrot set. Other card tricks link to the mathematical secrets of combinatorics, graph theory, number theory, topology, the Riemann hypothesis, and even Fermat's last theorem. Diaconis and Graham are mathematicians as well as skilled performers with decades of professional experience between them. In this book they share a wealth of conjuring lore, including some closely guarded secrets of legendary magicians. Magical Mathematics covers the mathematics of juggling and shows how the I Ching connects to the history of probability and magic tricks both old and new. It tells the stories--and reveals the best tricks--of the eccentric and brilliant inventors of mathematical magic. Magical Mathematics exposes old gambling secrets through the mathematics of shuffling cards, explains the classic street-gambling scam of three-card monte, traces the history of mathematical magic back to the thirteenth century and the oldest mathematical trick--and much more"-

Digraphs

Digraphs PDF Author: Jorgen Bang-Jensen
Publisher: Springer Science & Business Media
ISBN: 1447138864
Category : Mathematics
Languages : en
Pages : 769

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Book Description
The study of directed graphs (digraphs) has developed enormously over recent decades, yet the results are rather scattered across the journal literature. This is the first book to present a unified and comprehensive survey of the subject. In addition to covering the theoretical aspects, the authors discuss a large number of applications and their generalizations to topics such as the traveling salesman problem, project scheduling, genetics, network connectivity, and sparse matrices. Numerous exercises are included. For all graduate students, researchers and professionals interested in graph theory and its applications, this book will be essential reading.

Bioinformatics in the Era of Post Genomics and Big Data

Bioinformatics in the Era of Post Genomics and Big Data PDF Author: Ibrokhim Y. Abdurakhmonov
Publisher: BoD – Books on Demand
ISBN: 1789232686
Category : Medical
Languages : en
Pages : 190

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Book Description
Bioinformatics has evolved significantly in the era of post genomics and big data. Huge advancements were made toward storing, handling, mining, comparing, extracting, clustering and analysis as well as visualization of big macromolecular data using novel computational approaches, machine and deep learning methods, and web-based server tools. There are extensively ongoing world-wide efforts to build the resources for regional hosting, organized and structured access and improving the pre-existing bioinformatics tools to efficiently and meaningfully analyze day-to-day increasing big data. This book intends to provide the reader with updates and progress on genomic data analysis, data modeling and network-based system tools.

A Course in Combinatorics

A Course in Combinatorics PDF Author: J. H. van Lint
Publisher: Cambridge University Press
ISBN: 9780521006019
Category : Mathematics
Languages : en
Pages : 620

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Book Description
This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which involves ideas from geometry, algebra and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become essential for workers in many scientific fields to have some familiarity with the subject. The authors have tried to be as comprehensive as possible, dealing in a unified manner with, for example, graph theory, extremal problems, designs, colorings and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject. The book is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level. Working mathematicians and scientists will also find it a valuable introduction and reference.

Algebraic Combinatorics

Algebraic Combinatorics PDF Author: Richard P. Stanley
Publisher: Springer Science & Business Media
ISBN: 1461469988
Category : Mathematics
Languages : en
Pages : 226

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Book Description
Written by one of the foremost experts in the field, Algebraic Combinatorics is a unique undergraduate textbook that will prepare the next generation of pure and applied mathematicians. The combination of the author’s extensive knowledge of combinatorics and classical and practical tools from algebra will inspire motivated students to delve deeply into the fascinating interplay between algebra and combinatorics. Readers will be able to apply their newfound knowledge to mathematical, engineering, and business models. The text is primarily intended for use in a one-semester advanced undergraduate course in algebraic combinatorics, enumerative combinatorics, or graph theory. Prerequisites include a basic knowledge of linear algebra over a field, existence of finite fields, and group theory. The topics in each chapter build on one another and include extensive problem sets as well as hints to selected exercises. Key topics include walks on graphs, cubes and the Radon transform, the Matrix–Tree Theorem, and the Sperner property. There are also three appendices on purely enumerative aspects of combinatorics related to the chapter material: the RSK algorithm, plane partitions, and the enumeration of labeled trees. Richard Stanley is currently professor of Applied Mathematics at the Massachusetts Institute of Technology. Stanley has received several awards including the George Polya Prize in applied combinatorics, the Guggenheim Fellowship, and the Leroy P. Steele Prize for mathematical exposition. Also by the author: Combinatorics and Commutative Algebra, Second Edition, © Birkhauser.

Advances in Bioinformatics and Computational Biology

Advances in Bioinformatics and Computational Biology PDF Author: João C. Setubal
Publisher: Springer Nature
ISBN: 3030657752
Category : Science
Languages : en
Pages : 284

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Book Description
This book constitutes the refereed proceedings of the Brazilian Symposium on Bioinformatics, BSB 2020, held in São Paulo, Brazil, in November 2020. Due to COVID-19 pandemic the conference was held virtually The 20 revised full papers and 5 short papers were carefully reviewed and selected from 45 submissions. The papers address a broad range of current topics in computational biology and bioinformatics.