Combinatorics Of Symmetric Designs

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Combinatorics of Symmetric Designs

Author : Yury J. Ionin
Publisher : Cambridge University Press
ISBN 13 : 1139449664
Total Pages : 8 pages
Book Rating : 4.1/5 (394 download)

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Book Synopsis Combinatorics of Symmetric Designs by : Yury J. Ionin

Download or read book Combinatorics of Symmetric Designs written by Yury J. Ionin and published by Cambridge University Press. This book was released on 2006-05-25 with total page 8 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this book is to provide a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. The last five chapters of the book are devoted to balanced generalized weighing matrices, decomposable symmetric designs, subdesigns of symmetric designs, non-embeddable quasi-residual designs, and Ryser designs. Most results in these chapters have never previously appeared in book form. The book concludes with a comprehensive bibliography of over 400 entries. Researchers in all areas of combinatorial designs, including coding theory and finite geometries, will find much of interest here. Detailed proofs and a large number of exercises make this book suitable as a text for an advanced course in combinatorial designs.

Combinatorics of Symmetric Designs

Author :
Publisher :
ISBN 13 : 9780511220272
Total Pages : 520 pages
Book Rating : 4.2/5 (22 download)

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Book Synopsis Combinatorics of Symmetric Designs by :

Download or read book Combinatorics of Symmetric Designs written by and published by . This book was released on 2006 with total page 520 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a unified exposition of the theory of symmetric designs with emphasis on recent developments. The authors cover the combinatorial aspects of the theory giving particular attention to the construction of symmetric designs and related objects. For all researchers in combinatorial designs, coding theory, and finite geometries.

Quasi-symmetric Designs

Author : Mohan S. Shrikhande
Publisher : Cambridge University Press
ISBN 13 : 0521414075
Total Pages : 245 pages
Book Rating : 4.5/5 (214 download)

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Book Synopsis Quasi-symmetric Designs by : Mohan S. Shrikhande

Download or read book Quasi-symmetric Designs written by Mohan S. Shrikhande and published by Cambridge University Press. This book was released on 1991-11-29 with total page 245 pages. Available in PDF, EPUB and Kindle. Book excerpt: Design theory is a branch of combinatorics with applications in number theory, coding theory and geometry. In this book the authors discuss the generalization of results and applications to quasi-symmetric designs. The coverage is comprehensive and will be useful for researchers and graduate students. An attractive feature is the discussion of unsolved problems.

Combinatorics of Symmetric Designs

Author : Yury J. Ionin
Publisher : Cambridge University Press
ISBN 13 : 9780521818339
Total Pages : 548 pages
Book Rating : 4.8/5 (183 download)

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Book Synopsis Combinatorics of Symmetric Designs by : Yury J. Ionin

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.

Combinatorial Designs

Author : W.D. Wallis
Publisher : CRC Press
ISBN 13 : 9780824779429
Total Pages : 348 pages
Book Rating : 4.7/5 (794 download)

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Book Synopsis Combinatorial Designs by : W.D. Wallis

Download or read book Combinatorial Designs written by W.D. Wallis and published by CRC Press. This book was released on 1988-04-29 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Algorithms in Combinatorial Design Theory

Author : C.J. Colbourn
Publisher : Elsevier
ISBN 13 : 0080872255
Total Pages : 347 pages
Book Rating : 4.0/5 (88 download)

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Book Synopsis Algorithms in Combinatorial Design Theory by : C.J. Colbourn

Download or read book Algorithms in Combinatorial Design Theory written by C.J. Colbourn and published by Elsevier. This book was released on 1985-01-01 with total page 347 pages. Available in PDF, EPUB and Kindle. Book excerpt: The scope of the volume includes all algorithmic and computational aspects of research on combinatorial designs. Algorithmic aspects include generation, isomorphism and analysis techniques - both heuristic methods used in practice, and the computational complexity of these operations. The scope within design theory includes all aspects of block designs, Latin squares and their variants, pairwise balanced designs and projective planes and related geometries.

CRC Handbook of Combinatorial Designs

Author : Charles J. Colbourn
Publisher : CRC Press
ISBN 13 : 9781420049954
Total Pages : 778 pages
Book Rating : 4.0/5 (499 download)

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Book Synopsis CRC Handbook of Combinatorial Designs by : Charles J. Colbourn

Download or read book CRC Handbook of Combinatorial Designs written by Charles J. Colbourn and published by CRC Press. This book was released on 2010-12-12 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: From experimental design to cryptography, this comprehensive, easy-to-access reference contains literally all the facts you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs. Organized into six main parts, the CRC Handbook of Combinatorial Designs covers:

Symmetric Designs

Author : Eric S. Lander
Publisher :
ISBN 13 : 9781107366107
Total Pages : 306 pages
Book Rating : 4.3/5 (661 download)

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Book Synopsis Symmetric Designs by : Eric S. Lander

Download or read book Symmetric Designs written by Eric S. Lander and published by . This book was released on 1983 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetric designs are an important class of combinatorial structures which arose first in the statistics and are now especially important in the study of finite geometries.

Symmetric Designs

Author : Eric S. Lander
Publisher : Cambridge University Press
ISBN 13 : 052128693X
Total Pages : 321 pages
Book Rating : 4.5/5 (212 download)

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Book Synopsis Symmetric Designs by : Eric S. Lander

Download or read book Symmetric Designs written by Eric S. Lander and published by Cambridge University Press. This book was released on 1983-01-20 with total page 321 pages. Available in PDF, EPUB and Kindle. Book excerpt: Symmetric designs are an important class of combinatorial structures which arose first in the statistics and are now especially important in the study of finite geometries. This book presents some of the algebraic techniques that have been brought to bear on the question of existence, construction and symmetry of symmetric designs - including methods inspired by the algebraic theory of coding and by the representation theory of finite groups - and includes many results. Rich in examples and containing over 100 problems, the text also provides an introduction to many of the modern algebraic approaches used, through six lengthy appendices and supplementary problems. The book will be of interest to both combinatorialists and algebraists, and could be used as a course text for a graduate course.

Combinatorial Designs and their Applications

Author : Kathleen Quinn
Publisher : CRC Press
ISBN 13 : 9780849306594
Total Pages : 164 pages
Book Rating : 4.3/5 (65 download)

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Book Synopsis Combinatorial Designs and their Applications by : Kathleen Quinn

Download or read book Combinatorial Designs and their Applications written by Kathleen Quinn and published by CRC Press. This book was released on 1999-01-29 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these areas in a more complete and accessible form. Through their contributions to this collection, they help fill a gap in the available combinatorics literature. The papers included in this volume cover recent developments in areas of current interest, such as difference sets, cryptography, and optimal linear codes. Researchers in combinatorics and other areas of pure mathematics, along with researchers in statistics and computer design will find in-depth, up-to-date discussions of design theory and the application of the theory to statistical design, codes, and cryptography.

Combinatorial Designs and Tournaments

Author : Ian Anderson (Ph. D.)
Publisher : Oxford University Press
ISBN 13 : 9780198500292
Total Pages : 256 pages
Book Rating : 4.5/5 (2 download)

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Book Synopsis Combinatorial Designs and Tournaments by : Ian Anderson (Ph. D.)

Download or read book Combinatorial Designs and Tournaments written by Ian Anderson (Ph. D.) and published by Oxford University Press. This book was released on 1997 with total page 256 pages. Available in PDF, EPUB and Kindle. Book excerpt: The mathematics of tournament design are surprisingly subtle, and this book, an extensively revised version of Ellis Horwood's popular Combinatorial Designs: Construction Methods, provides a thorough introduction. It includes a new chapter on league schedules, which discusses round robin tournaments, venue sequences, and carry-over effects. It also discusses balanced tournament designs, double schedules, and bridge and whist tournament design. Readable and authoritative, the book emphasizes throughout the historical development of the material and includes numerous examples and exercises giving detailed constructions.

Handbook of Combinatorial Designs

Author : Charles J. Colbourn
Publisher : CRC Press
ISBN 13 : 1420010549
Total Pages : 1011 pages
Book Rating : 4.4/5 (2 download)

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Book Synopsis Handbook of Combinatorial Designs by : Charles J. Colbourn

Download or read book Handbook of Combinatorial Designs written by Charles J. Colbourn and published by CRC Press. This book was released on 2006-11-02 with total page 1011 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence

Information Security, Coding Theory and Related Combinatorics

Author : Dean Crnković
Publisher : IOS Press
ISBN 13 : 1607506629
Total Pages : 460 pages
Book Rating : 4.6/5 (75 download)

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Book Synopsis Information Security, Coding Theory and Related Combinatorics by : Dean Crnković

Download or read book Information Security, Coding Theory and Related Combinatorics written by Dean Crnković and published by IOS Press. This book was released on 2011 with total page 460 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Published in cooperation with NATO Emerging Security Challenges Division"--T.p.

Handbook of Combinatorial Designs

Author : C. J. Colbourn
Publisher : Chapman and Hall/CRC
ISBN 13 : 9781584885061
Total Pages : 1016 pages
Book Rating : 4.8/5 (85 download)

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Book Synopsis Handbook of Combinatorial Designs by : C. J. Colbourn

Download or read book Handbook of Combinatorial Designs written by C. J. Colbourn and published by Chapman and Hall/CRC. This book was released on 2006-11-02 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence results. Over 30% longer than the first edition, the book builds upon the groundwork of its predecessor while retaining the original contributors' expertise. The first part contains a brief introduction and history of the subject. The following parts focus on four main classes of combinatorial designs: balanced incomplete block designs, orthogonal arrays and Latin squares, pairwise balanced designs, and Hadamard and orthogonal designs. Closely connected to the preceding sections, the next part surveys 65 additional classes of designs, such as balanced ternary, factorial, graphical, Howell, quasi-symmetric, and spherical. The final part presents mathematical and computational background related to design theory. New to the Second Edition An introductory part that provides a general overview and a historical perspective of the area New chapters on the history of design theory, various codes, bent functions, and numerous types of designs Fully updated tables, including BIBDs, MOLS, PBDs, and Hadamard matrices Nearly 2,200 references in a single bibliographic section Meeting the need for up-to-date and accessible tabular and reference information, this handbook provides the tools to understand combinatorial design theory and applications that span the entire discipline. The author maintains a website with more information.

A Course in Combinatorics

Author : J. H. van Lint
Publisher : Cambridge University Press
ISBN 13 : 9780521006019
Total Pages : 620 pages
Book Rating : 4.0/5 (6 download)

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Book Synopsis A Course in Combinatorics by : J. H. van Lint

Download or read book A Course in Combinatorics written by J. H. van Lint and published by Cambridge University Press. This book was released on 2001-11-22 with total page 620 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Introduction to Combinatorial Designs

Author : W.D. Wallis
Publisher : CRC Press
ISBN 13 : 1584888393
Total Pages : 324 pages
Book Rating : 4.5/5 (848 download)

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Book Synopsis Introduction to Combinatorial Designs by : W.D. Wallis

Download or read book Introduction to Combinatorial Designs written by W.D. Wallis and published by CRC Press. This book was released on 2016-04-19 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: Combinatorial theory is one of the fastest growing areas of modern mathematics. Focusing on a major part of this subject, Introduction to Combinatorial Designs, Second Edition provides a solid foundation in the classical areas of design theory as well as in more contemporary designs based on applications in a variety of fields. After an o