Download or read book De Bruijn sequences and perfect factors in the Bruijn graph written by Chris J. Mitchell and published by . This book was released on 1995 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Sequences and the de Bruijn Graph written by Tuvi Etzion and published by Elsevier. This book was released on 2024-05-01 with total page 484 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Communications and Cryptography written by Richard E. Blahut and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 473 pages. Available in PDF, EPUB and Kindle. Book excerpt: Information theory is an exceptional field in many ways. Technically, it is one of the rare fields in which mathematical results and insights have led directly to significant engineering payoffs. Professionally, it is a field that has sustained a remarkable degree of community, collegiality and high standards. James L. Massey, whose work in the field is honored here, embodies the highest standards of the profession in his own career. The book covers the latest work on: block coding, convolutional coding, cryptography, and information theory. The 44 contributions represent a cross-section of the world's leading scholars, scientists and researchers in information theory and communication. The book is rounded off with an index and a bibliography of publications by James Massey.
Download or read book From Sequences to Graphs written by Annie Chateau and published by John Wiley & Sons. This book was released on 2022-09-08 with total page 276 pages. Available in PDF, EPUB and Kindle. Book excerpt: In order to study living organisms, scientists not only study them at an overall macroscopic scale but also on a more detailed microscopic scale. This observation, pushed to its limits, consists of investigating the very center of each cell, where we find the molecules that determine the way it functions: DNA (deoxyribonucleic acid) and RNA (ribonucleic acid). In an organism, DNA carries the genetic information, which is called the genome. It is represented as four-letter sequences using the letters A, C, G and T; based on these sequences, computer methods described in this book can answer fundamental questions in bioinformatics. This book explores how to quickly find sequences of a few hundred nucleotides within a genome that may be made up of several billion, how to compare those sequences and how to reconstruct the complete sequence of a genome. It also discusses the problems of identifying bacteria in a given environment and predicting the structure of RNA based on its sequence.
Download or read book De Bruijn Sequences written by Nicholas Sekreta and published by . This book was released on 1993 with total page 108 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book British Reports Translations and Theses written by British Library. Document Supply Centre and published by . This book was released on 1996 with total page 908 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Information Security and Cryptology written by Miroslaw Kutylowski and published by Springer. This book was released on 2013-11-13 with total page 402 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-conference proceedings of the 8th International Conference on Information Security and Cryptology, Inscrypt 2012, held in Beijing, China, in November 2012. The 23 revised full papers presented were carefully reviewed and selected from 71 submissions. The papers cover the topics of side channel attacks, extractor and secret sharing, public key cryptography, block ciphers, stream ciphers, new constructions and protocols.
Download or read book Bulletin of the Institute of Combinatorics and Its Applications written by and published by . This book was released on 2003 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Double Eulerian Cycles on de Bruijn Digraphs written by Gary William Krahn and published by . This book was released on 1994 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: A binary de Bruijn sequence has the property that every n-tuple is distinct on a given period of length 2n. An efficient algorithm to generate a class of classical de Bruijn sequences is given based upon the distance between cycles within the Good - de Bruijn digraph. The de Bruijn property on binary sequences is shown to be a randomness property of the ZERO and ONE run sequences. Utilizing this randomness we find additional new structure in de Bruijn sequences. We analyze binary sequences that are not de Bruijn but instead possess the sufficient structure so that every distinct binary n-tuple can be systematically combed out of the sequence. These complete or nonclassical de Bruijn sequences are a generalization of the well-known de Bruijn cycle. Our investigation focuses on binary sequences, called double Eulerian cycles, that define a cycle along a graph (digraph) visiting each edge (arc) exactly twice. A new algorithm to generate a class of double Eulerian cycles on graphs and digraphs is found. Double Eulerian cycles along the binary Good - de Bruijn digraph are partitioned by the run structure of their defining sequences. This partition allows for a statistical analysis to determine the relative size of the set of complete cycles defined by the sequences we study. A measure that categorizes double Eulerian cycles along graphs (digraphs) by the distance between the two visitations of each edge (arc) is provided. An algorithm to generate double Eulerian cycles of minimum measure is given.
Download or read book Advanced Graph Theory and Combinatorics written by Michel Rigo and published by John Wiley & Sons. This book was released on 2016-12-27 with total page 290 pages. Available in PDF, EPUB and Kindle. Book excerpt: Advanced Graph Theory focuses on some of the main notions arising in graph theory with an emphasis from the very start of the book on the possible applications of the theory and the fruitful links existing with linear algebra. The second part of the book covers basic material related to linear recurrence relations with application to counting and the asymptotic estimate of the rate of growth of a sequence satisfying a recurrence relation.
Download or read book Applied Combinatorics written by Fred Roberts and published by CRC Press. This book was released on 2009-06-03 with total page 889 pages. Available in PDF, EPUB and Kindle. Book excerpt: Now with solutions to selected problems, Applied Combinatorics, Second Edition presents the tools of combinatorics from an applied point of view. This bestselling textbook offers numerous references to the literature of combinatorics and its applications that enable readers to delve more deeply into the topics.After introducing fundamental counting
Download or read book Double Eulerian Cycles on de Bruijn Digraphs written by Gary William Krahn and published by . This book was released on 1994 with total page 258 pages. Available in PDF, EPUB and Kindle. Book excerpt: A binary de Bruijn sequence has the property that every n-tuple is distinct on a given period of length 2n. An efficient algorithm to generate a class of classical de Bruijn sequences is given based upon the distance between cycles within the Good - de Bruijn digraph. The de Bruijn property on binary sequences is shown to be a randomness property of the ZERO and ONE run sequences. Utilizing this randomness we find additional new structure in de Bruijn sequences. We analyze binary sequences that are not de Bruijn but instead possess the sufficient structure so that every distinct binary n-tuple can be systematically combed out of the sequence. These complete or nonclassical de Bruijn sequences are a generalization of the well-known de Bruijn cycle. Our investigation focuses on binary sequences, called double Eulerian cycles, that define a cycle along a graph (digraph) visiting each edge (arc) exactly twice. A new algorithm to generate a class of double Eulerian cycles on graphs and digraphs is found. Double Eulerian cycles along the binary Good - de Bruijn digraph are partitioned by the run structure of their defining sequences. This partition allows for a statistical analysis to determine the relative size of the set of complete cycles defined by the sequences we study. A measure that categorizes double Eulerian cycles along graphs (digraphs) by the distance between the two visitations of each edge (arc) is provided. An algorithm to generate double Eulerian cycles of minimum measure is given.
Download or read book Documentation Abstracts written by and published by . This book was released on 1995 with total page 628 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Advanced Graph Theory written by Santosh Kumar Yadav and published by Springer Nature. This book was released on 2023-07-18 with total page 294 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present book is based on the curriculum of undergraduate and postgraduate courses of universities in India and abroad. Every effort is made to present the various topics in the theory of graphs in a logical manner with adequate historical background and include suitable figures to illustrate concepts and results ideally. The formidable exercises, neither easy nor straightforward, are bold faced and highlighted. The theory portion of each chapter is studied thoroughly as it helps solve many of the problems with comparative ease. Selected material from this book is used for a semester course on graph theory, while the entire book serves for a whole session course.
Download or read book Exploring the Greedy Constructions of de Bruijn Sequences written by Evan Sala and published by . This book was released on 2018 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: A k-ary de Bruijn sequence of order n is a cyclic sequence of length k^n such that each k-ary string of length n appears exactly once as a substring. These sequences have applications in a variety of fields, and can be constructed by a number of means, including graph based approaches, linear feedback shift registers, and greedy strategies. Some sequences generated by greedy approaches, such as the Ford sequence, can also be generated by other, more computationally efficient means. However, others, like the sequences produced by the prefer same and prefer opposite strategies, have no known efficient construction algorithm. The goal of this research is to find a more efficient method of generating the binary prefer same de Bruijn sequence. To this end, a previously unstudied feedback function is analyzed, and a new successor rule is described that efficiently constructs a binary de Bruijn sequence. Furthermore, we conjecture that a successor rule for the prefer same strategy can be constructed by applying the aforementioned feedback function.
Download or read book Mathematical Reviews written by and published by . This book was released on 2006 with total page 980 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Bulletin written by Institute of Mathematics and Its Applications and published by . This book was released on 1995 with total page 296 pages. Available in PDF, EPUB and Kindle. Book excerpt:
