Combinatorial Algorithms On Words

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Combinatorial Algorithms on Words

Author : Alberto Apostolico
Publisher : Springer Science & Business Media
ISBN 13 : 3642824560
Total Pages : 354 pages
Book Rating : 4.6/5 (428 download)

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Book Synopsis Combinatorial Algorithms on Words by : Alberto Apostolico

Download or read book Combinatorial Algorithms on Words written by Alberto Apostolico and published by Springer Science & Business Media. This book was released on 2013-06-29 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Algorithmic Combinatorics on Partial Words

Author : Francine Blanchet-Sadri
Publisher : CRC Press
ISBN 13 : 9781420060935
Total Pages : 392 pages
Book Rating : 4.0/5 (69 download)

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Book Synopsis Algorithmic Combinatorics on Partial Words by : Francine Blanchet-Sadri

Download or read book Algorithmic Combinatorics on Partial Words written by Francine Blanchet-Sadri and published by CRC Press. This book was released on 2007-11-19 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 into this emerging research area, Algorithmic Combinatorics on Partial Words presents a mathematical treatment of combinatorics on partial words designed around algorithms and explores up-and-coming techniques for solving partial word problems as well as the future direction of research. This five-part book begins with a section on basics that covers terminology, the compatibility of partial words, and combinatorial properties of words. The book then focuses on three important concepts of periodicity on partial words: period, weak period, and local period. The next part describes a linear time algorithm to test primitivity on partial words and extends the results on unbordered words to unbordered partial words while the following section introduces some important properties of pcodes, details a variety of ways of defining and analyzing pcodes, and shows that the pcode property is decidable using two different techniques. In the final part, the author solves various equations on partial words, presents binary and ternary correlations, and covers unavoidable sets of partial words. Setting the tone for future research in this field, this book lucidly develops the central ideas and results of combinatorics on partial words.

Combinatorics on Words

Author : M. Lothaire
Publisher :
ISBN 13 :
Total Pages : 280 pages
Book Rating : 4.:/5 (44 download)

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Book Synopsis Combinatorics on Words by : M. Lothaire

Download or read book Combinatorics on Words written by M. Lothaire and published by . This book was released on 1983 with total page 280 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorial Algorithms

Author : Donald L. Kreher
Publisher : CRC Press
ISBN 13 : 1000141373
Total Pages : 346 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Combinatorial Algorithms by : Donald L. Kreher

Download or read book Combinatorial Algorithms written by Donald L. Kreher and published by CRC Press. This book was released on 2020-09-24 with total page 346 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as: Combinations Permutations Graphs Designs Many classical areas are covered as well as new research topics not included in most existing texts, such as: Group algorithms Graph isomorphism Hill-climbing Heuristic search algorithms This work serves as an exceptional textbook for a modern course in combinatorial algorithms, providing a unified and focused collection of recent topics of interest in the area. The authors, synthesizing material that can only be found scattered through many different sources, introduce the most important combinatorial algorithmic techniques - thus creating an accessible, comprehensive text that students of mathematics, electrical engineering, and computer science can understand without needing a prior course on combinatorics.

Combinatorial Algorithms

Author : Donald L. Kreher
Publisher : CRC Press
ISBN 13 : 1000102874
Total Pages : 344 pages
Book Rating : 4.0/5 (1 download)

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Book Synopsis Combinatorial Algorithms by : Donald L. Kreher

Download or read book Combinatorial Algorithms written by Donald L. Kreher and published by CRC Press. This book was released on 2020-09-23 with total page 344 pages. Available in PDF, EPUB and Kindle. Book excerpt: This textbook thoroughly outlines combinatorial algorithms for generation, enumeration, and search. Topics include backtracking and heuristic search methods applied to various combinatorial structures, such as: Combinations Permutations Graphs Designs Many classical areas are covered as well as new research topics not included in most existing texts, such as: Group algorithms Graph isomorphism Hill-climbing Heuristic search algorithms This work serves as an exceptional textbook for a modern course in combinatorial algorithms, providing a unified and focused collection of recent topics of interest in the area. The authors, synthesizing material that can only be found scattered through many different sources, introduce the most important combinatorial algorithmic techniques - thus creating an accessible, comprehensive text that students of mathematics, electrical engineering, and computer science can understand without needing a prior course on combinatorics.

Applied Combinatorics on Words

Author : M. Lothaire
Publisher : Cambridge University Press
ISBN 13 : 9780521848022
Total Pages : 646 pages
Book Rating : 4.8/5 (48 download)

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Book Synopsis Applied Combinatorics on Words by : M. Lothaire

Download or read book Applied Combinatorics on Words written by M. Lothaire and published by Cambridge University Press. This book was released on 2005-07-11 with total page 646 pages. Available in PDF, EPUB and Kindle. Book excerpt: Publisher Description

Combinatorial Algorithms

Author : Costas S. Iliopoulos
Publisher : Springer Science & Business Media
ISBN 13 : 3642250106
Total Pages : 398 pages
Book Rating : 4.6/5 (422 download)

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Book Synopsis Combinatorial Algorithms by : Costas S. Iliopoulos

Download or read book Combinatorial Algorithms written by Costas S. Iliopoulos and published by Springer Science & Business Media. This book was released on 2012-01-09 with total page 398 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly referred post-workshop proceedings of the 22nd International Workshop on Combinatorial Algorithms, IWOCA 2011, held in Vancouver, BC, Canada, in July 2011. The 30 revised full papers presented were carefully reviewed and selected from a total of 71 submissions. A broad variety of topics in combinatorics and graph theory are addressed, such as combinatorics on words, string algorithms, codes, Venn diagrams, set partitions; Hamiltonian & Eulerian properties, graph drawing, colouring, dominating sets, spanning trees, and others.

Jewels Of Stringology: Text Algorithms

Author : Maxime Crochemore
Publisher : World Scientific
ISBN 13 : 9814489875
Total Pages : 320 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Jewels Of Stringology: Text Algorithms by : Maxime Crochemore

Download or read book Jewels Of Stringology: Text Algorithms written by Maxime Crochemore and published by World Scientific. This book was released on 2002-09-16 with total page 320 pages. Available in PDF, EPUB and Kindle. Book excerpt: The term “stringology” is a popular nickname for text algorithms, or algorithms on strings. This book deals with the most basic algorithms in the area. Most of them can be viewed as “algorithmic jewels” and deserve reader-friendly presentation. One of the main aims of the book is to present several of the most celebrated algorithms in a simple way by omitting obscuring details and separating algorithmic structure from combinatorial theoretical background. The book reflects the relationships between applications of text-algorithmic techniques and the classification of algorithms according to the measures of complexity considered. The text can be viewed as a parade of algorithms in which the main purpose is to discuss the foundations of the algorithms and their interconnections. One can partition the algorithmic problems discussed into practical and theoretical problems. Certainly, string matching and data compression are in the former class, while most problems related to symmetries and repetitions in texts are in the latter. However, all the problems are interesting from an algorithmic point of view and enable the reader to appreciate the importance of combinatorics on words as a tool in the design of efficient text algorithms.In most textbooks on algorithms and data structures, the presentation of efficient algorithms on words is quite short as compared to issues in graph theory, sorting, searching, and some other areas. At the same time, there are many presentations of interesting algorithms on words accessible only in journals and in a form directed mainly at specialists. This book fills the gap in the book literature on algorithms on words, and brings together the many results presently dispersed in the masses of journal articles. The presentation is reader-friendly; many examples and about two hundred figures illustrate nicely the behaviour of otherwise very complex algorithms.

Combinatorics on Words

Author : Juhani Karhumäki
Publisher : Springer
ISBN 13 : 3642405797
Total Pages : 263 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Combinatorics on Words by : Juhani Karhumäki

Download or read book Combinatorics on Words written by Juhani Karhumäki and published by Springer. This book was released on 2013-08-15 with total page 263 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 9th International Conference on Combinatorics on Words, WORDS 2013, held in Turku, Finland, in September 2013 under the auspices of the EATCS. The 20 revised full papers presented were carefully reviewed and selected from 43 initial submissions. The central topic of the conference is combinatorics on words (i.e. the study of finite and infinite sequence of symbols) from varying points of view, including their combinatorial, algebraic and algorithmic aspects, as well as their applications.

Combinatorial Algorithms

Author : Zsuzsanna Lipták
Publisher : Springer
ISBN 13 : 3319295160
Total Pages : 377 pages
Book Rating : 4.3/5 (192 download)

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Book Synopsis Combinatorial Algorithms by : Zsuzsanna Lipták

Download or read book Combinatorial Algorithms written by Zsuzsanna Lipták and published by Springer. This book was released on 2016-03-09 with total page 377 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-workshop proceedings for the 26 International Workshop on combinatorial Algorithms, IWOCA 2015, held in Verona, Italy, in October 2015. The 29 revised full papers presented were carefully reviewed and selected from a total of 90 submissions. The topics of the papers include algorithms and data structures (including sequential, parallel, distributed, approximation, probabilistic, randomised, and on-line algorithms), algorithms on strings and graphs; applications (bioinformatics, music analysis, networking, and others); combinatorics on words; combinatorial enumeration; combinatorial optimization; complexity theory; computational biology; compression and information retrieval; cryptography and information security; decompositions and combinatorial designs; discrete and computational geometry; graph drawing and labeling; graph theory.

Algorithmic and Combinatorial Algebra

Author : L.A. Bokut'
Publisher : Springer Science & Business Media
ISBN 13 : 9780792323136
Total Pages : 406 pages
Book Rating : 4.3/5 (231 download)

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Book Synopsis Algorithmic and Combinatorial Algebra by : L.A. Bokut'

Download or read book Algorithmic and Combinatorial Algebra written by L.A. Bokut' and published by Springer Science & Business Media. This book was released on 1994-05-31 with total page 406 pages. Available in PDF, EPUB and Kindle. Book excerpt: Even three decades ago, the words 'combinatorial algebra' contrasting, for in stance, the words 'combinatorial topology,' were not a common designation for some branch of mathematics. The collocation 'combinatorial group theory' seems to ap pear first as the title of the book by A. Karras, W. Magnus, and D. Solitar [182] and, later on, it served as the title of the book by R. C. Lyndon and P. Schupp [247]. Nowadays, specialists do not question the existence of 'combinatorial algebra' as a special algebraic activity. The activity is distinguished not only by its objects of research (that are effectively given to some extent) but also by its methods (ef fective to some extent). To be more exact, we could approximately define the term 'combinatorial algebra' for the purposes of this book, as follows: So we call a part of algebra dealing with groups, semi groups , associative algebras, Lie algebras, and other algebraic systems which are given by generators and defining relations {in the first and particular place, free groups, semigroups, algebras, etc. )j a part in which we study universal constructions, viz. free products, lINN-extensions, etc. j and, finally, a part where specific methods such as the Composition Method (in other words, the Diamond Lemma, see [49]) are applied. Surely, the above explanation is far from covering the full scope of the term (compare the prefaces to the books mentioned above).

Algebraic Combinatorics on Words

Author : M. Lothaire
Publisher : Cambridge University Press
ISBN 13 : 9780521812207
Total Pages : 536 pages
Book Rating : 4.8/5 (122 download)

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Book Synopsis Algebraic Combinatorics on Words by : M. Lothaire

Download or read book Algebraic Combinatorics on Words written by M. Lothaire and published by Cambridge University Press. This book was released on 2002-04-18 with total page 536 pages. Available in PDF, EPUB and Kindle. Book excerpt: Comprehensive 2002 introduction to combinatorics on words for mathematicians and theoretical computer scientists.

Analytic Combinatorics

Author : Philippe Flajolet
Publisher : Cambridge University Press
ISBN 13 : 1139477161
Total Pages : 825 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Analytic Combinatorics by : Philippe Flajolet

Download or read book Analytic Combinatorics written by Philippe Flajolet and published by Cambridge University Press. This book was released on 2009-01-15 with total page 825 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Combinatorial Algorithms

Author : Jiri Fiala
Publisher : Springer
ISBN 13 : 3642102174
Total Pages : 480 pages
Book Rating : 4.6/5 (421 download)

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Book Synopsis Combinatorial Algorithms by : Jiri Fiala

Download or read book Combinatorial Algorithms written by Jiri Fiala and published by Springer. This book was released on 2009-11-09 with total page 480 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the revised selected papers of the 20th International Workshop on Combinatorial Algorithms, held in June/July 2009 in the castle of Hradec nad Moravicí, Czech Republic. The 41 papers included in this volume together with 5 invited papers were carefully reviewed and selected from over 100 submissions. The topics dealt with are algorithms and data structures, applications, combinatorial enumeration, combinatorial optimization, complexity theory, computational biology, databases, decompositions and combinatorial designs, discrete and computational geometry, including graph drawing, and graph theory and combinatorics.

Graphs, Combinatorics, Algorithms and Applications

Author : S. Arumugam
Publisher : Alpha Science Int'l Ltd.
ISBN 13 : 9788173196126
Total Pages : 204 pages
Book Rating : 4.1/5 (961 download)

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Book Synopsis Graphs, Combinatorics, Algorithms and Applications by : S. Arumugam

Download or read book Graphs, Combinatorics, Algorithms and Applications written by S. Arumugam and published by Alpha Science Int'l Ltd.. This book was released on 2005 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graphs, Combinatorics, Algorithms and Applications: The research papers contributed by leading experts in their respective field discusses current areas of research in graph theory such as: Graphoidal covers Hyper graphs Domination in graph Signed graphs Graph labelings and Theoretical computer science This volume will serve as an excellent reference for experts and research scholars working in Graph Theory and related topics.

Combinatorics on Words

Author : M. Lothaire
Publisher : Cambridge University Press
ISBN 13 : 0521599245
Total Pages : 260 pages
Book Rating : 4.5/5 (215 download)

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Book Synopsis Combinatorics on Words by : M. Lothaire

Download or read book Combinatorics on Words written by M. Lothaire and published by Cambridge University Press. This book was released on 1997-05-29 with total page 260 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Combinatorial Algorithms

Author : Thierry Lecroq
Publisher : Springer
ISBN 13 : 3642452787
Total Pages : 474 pages
Book Rating : 4.6/5 (424 download)

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Book Synopsis Combinatorial Algorithms by : Thierry Lecroq

Download or read book Combinatorial Algorithms written by Thierry Lecroq and published by Springer. This book was released on 2013-11-26 with total page 474 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the thoroughly refereed post-workshop proceedings of the 24th International Workshop on Combinatorial Algorithms, IWOCA 2013, held in Rouen, France, in July 2013. The 33 revised full papers presented together with 10 short papers and 5 invited talks were carefully reviewed and selected from a total of 91 submissions. The papers are organized in topical sections on algorithms on graphs; algorithms on strings; discrete geometry and satisfiability.