Combinatorial Techniques

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Principles and Techniques in Combinatorics

Author : Chuan-Chong Chen
Publisher : World Scientific
ISBN 13 : 9789810211394
Total Pages : 314 pages
Book Rating : 4.2/5 (113 download)

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Book Synopsis Principles and Techniques in Combinatorics by : Chuan-Chong Chen

Download or read book Principles and Techniques in Combinatorics written by Chuan-Chong Chen and published by World Scientific. This book was released on 1992 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook suitable for undergraduate courses. The materials are presented very explicitly so that students will find it very easy to read. A wide range of examples, about 500 combinatorial problems taken from various mathematical competitions and exercises are also included.

Combinatorial Methods

Author : Alexander Mikhalev
Publisher : Springer Science & Business Media
ISBN 13 : 9780387405629
Total Pages : 336 pages
Book Rating : 4.4/5 (56 download)

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Book Synopsis Combinatorial Methods by : Alexander Mikhalev

Download or read book Combinatorial Methods written by Alexander Mikhalev and published by Springer Science & Business Media. This book was released on 2004 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century. This book is divided into three fairly independent parts. Part I provides a brief exposition of several classical techniques in combinatorial group theory, namely, methods of Nielsen, Whitehead, and Tietze. Part II contains the main focus of the book. Here the authors show how the aforementioned techniques of combinatorial group theory found their way into affine algebraic geometry, a fascinating area of mathematics that studies polynomials and polynomial mappings. Part III illustrates how ideas from combinatorial group theory contributed to the theory of free algebras. The focus here is on Schreier varieties of algebras (a variety of algebras is said to be Schreier if any subalgebra of a free algebra of this variety is free in the same variety of algebras).

Combinatorial techniques

Author : Sharad S. Sane
Publisher : Hindustan Book Agency
ISBN 13 : 9789380250489
Total Pages : 0 pages
Book Rating : 4.2/5 (54 download)

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Book Synopsis Combinatorial techniques by : Sharad S. Sane

Download or read book Combinatorial techniques written by Sharad S. Sane and published by Hindustan Book Agency. This book was released on 2013-01-15 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a basic text on combinatorics that deals with all the three aspects of the discipline: tricks, techniques and theory, and attempts to blend them. The book has several distinctive features. Probability and random variables with their interconnections to permutations are discussed. The theme of parity has been specially included and it covers applications ranging from solving the Nim game to the quadratic reciprocity law. Chapters related to geometry include triangulations and Sperner's theorem, classification of regular polytopes, tilings and an introduction to the Eulcidean Ramsey theory. Material on group actions covers Sylow theory, automorphism groups and a classification of finite subgroups of orthogonal groups. All chapters have a large number of exercises with varying degrees of difficulty, ranging from material suitable for Mathematical Olympiads to research.

Basic Techniques of Combinatorial Theory

Author : Daniel I. A. Cohen
Publisher : John Wiley & Sons
ISBN 13 :
Total Pages : 318 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Basic Techniques of Combinatorial Theory by : Daniel I. A. Cohen

Download or read book Basic Techniques of Combinatorial Theory written by Daniel I. A. Cohen and published by John Wiley & Sons. This book was released on 1978 with total page 318 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Combinatorics

Author : Peter Jephson Cameron
Publisher : Cambridge University Press
ISBN 13 : 9780521457613
Total Pages : 372 pages
Book Rating : 4.4/5 (576 download)

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Book Synopsis Combinatorics by : Peter Jephson Cameron

Download or read book Combinatorics written by Peter Jephson Cameron and published by Cambridge University Press. This book was released on 1994-10-06 with total page 372 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorics is a subject of increasing importance because of its links with computer science, statistics, and algebra. This textbook stresses common techniques (such as generating functions and recursive construction) that underlie the great variety of subject matter, and the fact that a constructive or algorithmic proof is more valuable than an existence proof. The author emphasizes techniques as well as topics and includes many algorithms described in simple terms. The text should provide essential background for students in all parts of discrete mathematics.

Combinatorial Problems and Exercises

Author : L. Lovász
Publisher : Elsevier
ISBN 13 : 0080933092
Total Pages : 636 pages
Book Rating : 4.0/5 (89 download)

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Book Synopsis Combinatorial Problems and Exercises by : L. Lovász

Download or read book Combinatorial Problems and Exercises written by L. Lovász and published by Elsevier. This book was released on 2014-06-28 with total page 636 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to introduce a range of combinatorial methods for those who want to apply these methods in the solution of practical and theoretical problems. Various tricks and techniques are taught by means of exercises. Hints are given in a separate section and a third section contains all solutions in detail. A dictionary section gives definitions of the combinatorial notions occurring in the book. Combinatorial Problems and Exercises was first published in 1979. This revised edition has the same basic structure but has been brought up to date with a series of exercises on random walks on graphs and their relations to eigenvalues, expansion properties and electrical resistance. In various chapters the author found lines of thought that have been extended in a natural and significant way in recent years. About 60 new exercises (more counting sub-problems) have been added and several solutions have been simplified.

Combinatorial techniques

Author : Sharad S. Sane
Publisher : Springer
ISBN 13 : 938627955X
Total Pages : 477 pages
Book Rating : 4.3/5 (862 download)

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Book Synopsis Combinatorial techniques by : Sharad S. Sane

Download or read book Combinatorial techniques written by Sharad S. Sane and published by Springer. This book was released on 2013-01-15 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a basic text on combinatorics that deals with all the three aspects of the discipline: tricks, techniques and theory, and attempts to blend them. The book has several distinctive features. Probability and random variables with their interconnections to permutations are discussed. The theme of parity has been specially included and it covers applications ranging from solving the Nim game to the quadratic reciprocity law. Chapters related to geometry include triangulations and Sperner's theorem, classification of regular polytopes, tilings and an introduction to the Eulcidean Ramsey theory. Material on group actions covers Sylow theory, automorphism groups and a classification of finite subgroups of orthogonal groups. All chapters have a large number of exercises with varying degrees of difficulty, ranging from material suitable for Mathematical Olympiads to research.

Combinatorial Methods in Discrete Mathematics

Author : Vladimir N. Sachkov
Publisher : Cambridge University Press
ISBN 13 : 0521455138
Total Pages : 324 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Combinatorial Methods in Discrete Mathematics by : Vladimir N. Sachkov

Download or read book Combinatorial Methods in Discrete Mathematics written by Vladimir N. Sachkov and published by Cambridge University Press. This book was released on 1996-01-11 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an attempt to present some complex problems of discrete mathematics in a simple and unified form using a unique, general combinatorial scheme. The author's aim is not always to present the most general results, but rather to focus attention on ones that illustrate the methods described. A distinctive aspect of the book is the large number of asymptotic formulae derived.This is an important book, describing many ideas not previously available in English; the author has taken the chance to update the text and references where appropriate.

Introduction to Combinatorial Testing

Author : D. Richard Kuhn
Publisher : CRC Press
ISBN 13 : 1466552301
Total Pages : 333 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Introduction to Combinatorial Testing by : D. Richard Kuhn

Download or read book Introduction to Combinatorial Testing written by D. Richard Kuhn and published by CRC Press. This book was released on 2016-04-19 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial testing of software analyzes interactions among variables using a very small number of tests. This advanced approach has demonstrated success in providing strong, low-cost testing in real-world situations. Introduction to Combinatorial Testing presents a complete self-contained tutorial on advanced combinatorial testing methods for re

Combinatorial Methods in Density Estimation

Author : Luc Devroye
Publisher : Springer Science & Business Media
ISBN 13 : 1461301254
Total Pages : 219 pages
Book Rating : 4.4/5 (613 download)

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Book Synopsis Combinatorial Methods in Density Estimation by : Luc Devroye

Download or read book Combinatorial Methods in Density Estimation written by Luc Devroye and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 219 pages. Available in PDF, EPUB and Kindle. Book excerpt: Density estimation has evolved enormously since the days of bar plots and histograms, but researchers and users are still struggling with the problem of the selection of the bin widths. This book is the first to explore a new paradigm for the data-based or automatic selection of the free parameters of density estimates in general so that the expected error is within a given constant multiple of the best possible error. The paradigm can be used in nearly all density estimates and for most model selection problems, both parametric and nonparametric.

Combinatorial Designs

Author : Douglas Stinson
Publisher : Springer Science & Business Media
ISBN 13 : 0387217371
Total Pages : 306 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Combinatorial Designs by : Douglas Stinson

Download or read book Combinatorial Designs written by Douglas Stinson and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.

Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques

Author : Klaus Jansen
Publisher : Springer Science & Business Media
ISBN 13 : 3540228942
Total Pages : 436 pages
Book Rating : 4.5/5 (42 download)

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Book Synopsis Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques by : Klaus Jansen

Download or read book Approximation, Randomization and Combinatorial Optimization. Algorithms and Techniques written by Klaus Jansen and published by Springer Science & Business Media. This book was released on 2004-08-11 with total page 436 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the joint refereed proceedings of the 7th International Workshop on Approximation Algorithms for Combinatorial Optimization Problems, APPROX 2004 and the 8th International Workshop on Randomization and Computation, RANDOM 2004, held in Cambridge, MA, USA in August 2004. The 37 revised full papers presented were carefully reviewed and selected from 87 submissions. Among the issues addressed are design and analysis of approximation algorithms, inapproximability results, approximation classes, online problems, graph algorithms, cuts, geometric computations, network design and routing, packing and covering, scheduling, game theory, design and analysis of randomised algorithms, randomized complexity theory, pseudorandomness, derandomization, probabilistic proof systems, error-correcting codes, and other applications of approximation and randomness.

Combinatorial Methods for Chemical and Biological Sensors

Author : Radislav A. Potyrailo
Publisher : Springer Science & Business Media
ISBN 13 : 0387737138
Total Pages : 495 pages
Book Rating : 4.3/5 (877 download)

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Book Synopsis Combinatorial Methods for Chemical and Biological Sensors by : Radislav A. Potyrailo

Download or read book Combinatorial Methods for Chemical and Biological Sensors written by Radislav A. Potyrailo and published by Springer Science & Business Media. This book was released on 2009-03-21 with total page 495 pages. Available in PDF, EPUB and Kindle. Book excerpt: Chemical sensors are in high demand for applications as varied as water pollution detection, medical diagnostics, and battlefield air analysis. Designing the next generation of sensors requires an interdisciplinary approach. The book provides a critical analysis of new opportunities in sensor materials research that have been opened up with the use of combinatorial and high-throughput technologies, with emphasis on experimental techniques. For a view of component selection with a more computational perspective, readers may refer to the complementary volume of Integrated Analytical Systems edited by M. Ryan et al., entitled “Computational Methods for Sensor Material Selection”.

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.

Polynomial Methods in Combinatorics

Author : Larry Guth
Publisher : American Mathematical Soc.
ISBN 13 : 1470428903
Total Pages : 273 pages
Book Rating : 4.4/5 (74 download)

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Book Synopsis Polynomial Methods in Combinatorics by : Larry Guth

Download or read book Polynomial Methods in Combinatorics written by Larry Guth and published by American Mathematical Soc.. This book was released on 2016-06-10 with total page 273 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explains some recent applications of the theory of polynomials and algebraic geometry to combinatorics and other areas of mathematics. One of the first results in this story is a short elegant solution of the Kakeya problem for finite fields, which was considered a deep and difficult problem in combinatorial geometry. The author also discusses in detail various problems in incidence geometry associated to Paul Erdős's famous distinct distances problem in the plane from the 1940s. The proof techniques are also connected to error-correcting codes, Fourier analysis, number theory, and differential geometry. Although the mathematics discussed in the book is deep and far-reaching, it should be accessible to first- and second-year graduate students and advanced undergraduates. The book contains approximately 100 exercises that further the reader's understanding of the main themes of the book.

Combinatorial Methods

Author : Vladimir Shpilrain
Publisher : Springer Science & Business Media
ISBN 13 : 038721724X
Total Pages : 322 pages
Book Rating : 4.3/5 (872 download)

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Book Synopsis Combinatorial Methods by : Vladimir Shpilrain

Download or read book Combinatorial Methods written by Vladimir Shpilrain and published by Springer Science & Business Media. This book was released on 2012-11-12 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt: The main purpose of this book is to show how ideas from combinatorial group theory have spread to two other areas of mathematics: the theory of Lie algebras and affine algebraic geometry. Some of these ideas, in turn, came to combinatorial group theory from low-dimensional topology in the beginning of the 20th Century.

Analytical Methods in Combinatorial Chemistry

Author : Bing Yan
Publisher : CRC Press
ISBN 13 : 1439857601
Total Pages : 335 pages
Book Rating : 4.4/5 (398 download)

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Book Synopsis Analytical Methods in Combinatorial Chemistry by : Bing Yan

Download or read book Analytical Methods in Combinatorial Chemistry written by Bing Yan and published by CRC Press. This book was released on 2010-08-09 with total page 335 pages. Available in PDF, EPUB and Kindle. Book excerpt: Since the publication of the benchmark first edition of this book, chemical library and combinatorial chemistry methods have developed into mature technologies. There have also been significant shifts in emphasis in combinatorial synthesis. Reflecting the growth in the field and the heightened focus on select areas, Analytical Methods in Combinator