Combinatorics On Words PDF Download
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Author | : M. Lothaire |
Publisher | : Cambridge University Press |
Total Pages | : 260 |
Release | : 1997-05-29 |
Genre | : Mathematics |
ISBN | : 0521599245 |
Download Combinatorics on Words Book in PDF, ePub and Kindle
Combinatorics on words, or finite sequences, is a field which grew simultaneously within disparate branches of mathematics such as group theory and probability. It has grown into an independent theory finding substantial applications in computer science automata theory and liguistics. This volume is the first to present a thorough treatment of this theory. All of the main results and techniques are covered. The presentation is accessible to undergraduate and graduate level students in mathematics and computer science as well as to specialists in all branches of applied mathematics.
Author | : M. Lothaire |
Publisher | : Cambridge University Press |
Total Pages | : 646 |
Release | : 2005-07-11 |
Genre | : Computers |
ISBN | : 9780521848022 |
Download Applied Combinatorics on Words Book in PDF, ePub and Kindle
Publisher Description
Author | : M. Lothaire |
Publisher | : Cambridge University Press |
Total Pages | : 536 |
Release | : 2002-04-18 |
Genre | : Mathematics |
ISBN | : 9780521812207 |
Download Algebraic Combinatorics on Words Book in PDF, ePub and Kindle
Comprehensive 2002 introduction to combinatorics on words for mathematicians and theoretical computer scientists.
Author | : Francine Blanchet-Sadri |
Publisher | : CRC Press |
Total Pages | : 392 |
Release | : 2007-11-19 |
Genre | : Computers |
ISBN | : 1420060937 |
Download Algorithmic Combinatorics on Partial Words Book in PDF, ePub and Kindle
The discrete mathematics and theoretical computer science communities have recently witnessed explosive growth in the area of algorithmic combinatorics on words. The next generation of research on combinatorics of partial words promises to have a substantial impact on molecular biology, nanotechnology, data communication, and DNA computing. Delving
Author | : Silvia Heubach |
Publisher | : CRC Press |
Total Pages | : 505 |
Release | : 2009-07-20 |
Genre | : Computers |
ISBN | : 1420072684 |
Download Combinatorics of Compositions and Words Book in PDF, ePub and Kindle
A One-Stop Source of Known Results, a Bibliography of Papers on the Subject, and Novel Research Directions Focusing on a very active area of research in the last decade, Combinatorics of Compositions and Words provides an introduction to the methods used in the combinatorics of pattern avoidance and pattern enumeration in compositions and words. It
Author | : Valérie Berthé |
Publisher | : Cambridge University Press |
Total Pages | : 496 |
Release | : 2016-02-26 |
Genre | : Computers |
ISBN | : 1107077028 |
Download Combinatorics, Words and Symbolic Dynamics Book in PDF, ePub and Kindle
Surveys trends arising from the applications and interactions between combinatorics, symbolic dynamics and theoretical computer science.
Author | : Christophe Reutenauer |
Publisher | : Oxford University Press, USA |
Total Pages | : 169 |
Release | : 2019-01-15 |
Genre | : Mathematics |
ISBN | : 0198827547 |
Download From Christoffel Words to Markoff Numbers Book in PDF, ePub and Kindle
In 1875, Elwin Bruno Christoffel introduced a special class of words on a binary alphabet linked to continued fractions which would go onto be known as Christoffel words. Some years later, Andrey Markoff published his famous theory, the now called Markoff theory. It characterized certain quadratic forms and certain real numbers by extremal inequalities. Both classes are constructed using certain natural numbers known as Markoff numbers and they are characterized by a certain Diophantine equality. More basically, they are constructed using certain words essentially the Christoffel words. The link between Christoffel words and the theory of Markoff was noted by Ferdinand Frobenius in 1913, but has been neglected in recent times. Motivated by this overlooked connection, this book looks to expand on the relationship between these two areas. Part 1 focuses on the classical theory of Markoff, while Part II explores the more advanced and recent results of the theory of Christoffel words.
Author | : Sergey Kitaev |
Publisher | : Springer Science & Business Media |
Total Pages | : 511 |
Release | : 2011-08-30 |
Genre | : Computers |
ISBN | : 3642173330 |
Download Patterns in Permutations and Words Book in PDF, ePub and Kindle
There has been considerable interest recently in the subject of patterns in permutations and words, a new branch of combinatorics with its roots in the works of Rotem, Rogers, and Knuth in the 1970s. Consideration of the patterns in question has been extremely interesting from the combinatorial point of view, and it has proved to be a useful language in a variety of seemingly unrelated problems, including the theory of Kazhdan—Lusztig polynomials, singularities of Schubert varieties, interval orders, Chebyshev polynomials, models in statistical mechanics, and various sorting algorithms, including sorting stacks and sortable permutations. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology. The author collects the main results in the field in this up-to-date, comprehensive reference volume. He highlights significant achievements in the area, and points to research directions and open problems. The book will be of interest to researchers and graduate students in theoretical computer science and mathematics, in particular those working in algebraic combinatorics and combinatorics on words. It will also be of interest to specialists in other branches of mathematics, theoretical physics, and computational biology.
Author | : Alberto Apostolico |
Publisher | : Springer Science & Business Media |
Total Pages | : 354 |
Release | : 2013-06-29 |
Genre | : Mathematics |
ISBN | : 3642824560 |
Download Combinatorial Algorithms on Words Book in PDF, ePub and Kindle
Combinatorial Algorithms on Words refers to the collection of manipulations of strings of symbols (words) - not necessarily from a finite alphabet - that exploit the combinatorial properties of the logical/physical input arrangement to achieve efficient computational performances. The model of computation may be any of the established serial paradigms (e.g. RAM's, Turing Machines), or one of the emerging parallel models (e.g. PRAM ,WRAM, Systolic Arrays, CCC). This book focuses on some of the accomplishments of recent years in such disparate areas as pattern matching, data compression, free groups, coding theory, parallel and VLSI computation, and symbolic dynamics; these share a common flavor, yet ltave not been examined together in the past. In addition to being theoretically interest ing, these studies have had significant applications. It happens that these works have all too frequently been carried out in isolation, with contributions addressing similar issues scattered throughout a rather diverse body of literature. We felt that it would be advantageous to both current and future researchers to collect this work in a sin gle reference. It should be clear that the book's emphasis is on aspects of combinatorics and com plexity rather than logic, foundations, and decidability. In view of the large body of research and the degree of unity already achieved by studies in the theory of auto mata and formal languages, we have allocated very little space to them.
Author | : Philippe Flajolet |
Publisher | : Cambridge University Press |
Total Pages | : 825 |
Release | : 2009-01-15 |
Genre | : Mathematics |
ISBN | : 1139477161 |
Download Analytic Combinatorics Book in PDF, ePub and Kindle
Analytic combinatorics aims to enable precise quantitative predictions of the properties of large combinatorial structures. The theory has emerged over recent decades as essential both for the analysis of algorithms and for the study of scientific models in many disciplines, including probability theory, statistical physics, computational biology, and information theory. With a careful combination of symbolic enumeration methods and complex analysis, drawing heavily on generating functions, results of sweeping generality emerge that can be applied in particular to fundamental structures such as permutations, sequences, strings, walks, paths, trees, graphs and maps. This account is the definitive treatment of the topic. The authors give full coverage of the underlying mathematics and a thorough treatment of both classical and modern applications of the theory. The text is complemented with exercises, examples, appendices and notes to aid understanding. The book can be used for an advanced undergraduate or a graduate course, or for self-study.