Combinatorial Designs

Author : Douglas Stinson
Publisher : Springer Science & Business Media
Page : 306 pages
File Size : 40,9 Mb
Release : 2007-05-08
Category : Mathematics
ISBN : 9780387217376

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Combinatorial Designs by Douglas Stinson Pdf

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.

Author : Charles J. Colbourn
Publisher : CRC Press
Page : 778 pages
File Size : 40,9 Mb
Release : 2010-12-12
Category : Mathematics
ISBN : 142004995X

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CRC Handbook of Combinatorial Designs by Charles J. Colbourn Pdf

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:

Author : Kathleen Quinn,Bridget Webb,F.C. Holroyd,Chris Rowley
Publisher : Taylor & Francis
Page : 160 pages
File Size : 51,5 Mb
Release : 2023-02-06
Category : Mathematics
ISBN : 9781351459747

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Combinatorial Designs and their Applications by Kathleen Quinn,Bridget Webb,F.C. Holroyd,Chris Rowley Pdf

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.

Author : C. J. Colbourn,Jeffrey H. Dinitz
Publisher : Chapman and Hall/CRC
Page : 1016 pages
File Size : 40,7 Mb
Release : 2006-11-02
Category : Mathematics
ISBN : 1584885068

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Handbook of Combinatorial Designs by C. J. Colbourn,Jeffrey H. Dinitz Pdf

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.

Author : W.D. Wallis
Publisher : CRC Press
Page : 328 pages
File Size : 41,6 Mb
Release : 2016-04-19
Category : Mathematics
ISBN : 9781584888390

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Introduction to Combinatorial Designs, Second Edition by W.D. Wallis Pdf

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 overview of basic concepts, the text introduces balanced designs and finite geometries. The author then delves into balanced incomplete block designs, covering difference methods, residual and derived designs, and resolvability. Following a chapter on the existence theorem of Bruck, Ryser, and Chowla, the book discusses Latin squares, one-factorizations, triple systems, Hadamard matrices, and Room squares. It concludes with a number of statistical applications of designs. Reflecting recent results in design theory and outlining several applications, this new edition of a standard text presents a comprehensive look at the combinatorial theory of experimental design. Suitable for a one-semester course or for self-study, it will prepare readers for further exploration in the field. To access supplemental materials for this volume, visit the author’s website at http://www.math.siu.edu/Wallis/designs

Author : A. Hartman
Publisher : Elsevier
Page : 385 pages
File Size : 46,9 Mb
Release : 1989-10-11
Category : Mathematics
ISBN : 0080867820

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Combinatorial Designs by A. Hartman Pdf

Haim Hanani pioneered the techniques for constructing designs and the theory of pairwise balanced designs, leading directly to Wilson's Existence Theorem. He also led the way in the study of resolvable designs, covering and packing problems, latin squares, 3-designs and other combinatorial configurations. The Hanani volume is a collection of research and survey papers at the forefront of research in combinatorial design theory, including Professor Hanani's own latest work on Balanced Incomplete Block Designs. Other areas covered include Steiner systems, finite geometries, quasigroups, and t-designs.

Author : Charles J. Colbourn,Jeffrey H. Dinitz
Publisher : CRC Press
Page : 1011 pages
File Size : 47,8 Mb
Release : 2006-11-02
Category : Computers
ISBN : 9781420010541

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Handbook of Combinatorial Designs by Charles J. Colbourn,Jeffrey H. Dinitz Pdf

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

Author : Earl Sidney Kramer
Publisher : American Mathematical Soc.
Page : 312 pages
File Size : 43,6 Mb
Release : 1990
Category : Mathematics
ISBN : 9780821851180

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Finite Geometries and Combinatorial Designs by Earl Sidney Kramer Pdf

More than eighty participants from all over the world attended an AMS Special Session on Finite Geometries and Combinatorial Designs held in Lincoln, Nebraska, in the fall of 1987. This volume contains the proceedings of that Special Session, in addition to several invited papers. Employing state-of-the-art combinatorial and geometric methods, the papers show significant advances in this area. Topics range over finite geometry, combinatorial designs, their automorphism groups, and related structures. Requiring graduate-level background, this book is intended primarily for researchers in finite geometries and combinatorial designs. However, the interested nonspecialist will find that the book provides an excellent overview of current activity in these areas.

Author : Michael Huber
Publisher : Now Publishers Inc
Page : 107 pages
File Size : 40,8 Mb
Release : 2010
Category : Computers
ISBN : 9781601983589

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Combinatorial Designs for Authentication and Secrecy Codes by Michael Huber Pdf

Combinatorial Designs for Authentication and Secrecy Codes is a succinct in-depth review and tutorial of a subject that promises to lead to major advances in computer and communication security. This monograph provides a tutorial on combinatorial designs, which gives an overview of the theory. Furthermore, the application of combinatorial designs to authentication and secrecy codes is described in depth. This close relationship of designs with cryptography and information security was first revealed in Shannon's seminal paper on secrecy systems. We bring together in one source foundational and current contributions concerning design-theoretic constructions and characterizations of authentication and secrecy codes.

Author : J. W. P. Hirschfeld,S. S. Magliveras,M. J. de Resmini
Publisher : Cambridge University Press
Page : 269 pages
File Size : 50,7 Mb
Release : 1997-08-14
Category : Mathematics
ISBN : 9780521595384

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Geometry, Combinatorial Designs and Related Structures by J. W. P. Hirschfeld,S. S. Magliveras,M. J. de Resmini Pdf

This volume examines state of the art research in finite geometries and designs.

Author : Dingyi Pei
Publisher : CRC Press
Page : 256 pages
File Size : 49,8 Mb
Release : 2006-01-13
Category : Computers
ISBN : 9781420003185

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Authentication Codes and Combinatorial Designs by Dingyi Pei Pdf

Researchers and practitioners of cryptography and information security are constantly challenged to respond to new attacks and threats to information systems. Authentication Codes and Combinatorial Designs presents new findings and original work on perfect authentication codes characterized in terms of combinatorial designs, namely strong partially

Author : W.D. Wallis
Publisher : CRC Press
Page : 348 pages
File Size : 47,9 Mb
Release : 1988-04-29
Category : Mathematics
ISBN : 0824779428

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Combinatorial Designs by W.D. Wallis Pdf

Author : Ian Anderson (Ph. D.)
Publisher : Oxford University Press
Page : 256 pages
File Size : 44,8 Mb
Release : 1997
Category : Mathematics
ISBN : 0198500297

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Combinatorial Designs and Tournaments by Ian Anderson (Ph. D.) Pdf

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.

Author : C.J. Colbourn,M.J. Colbourn
Publisher : Elsevier
Page : 333 pages
File Size : 47,9 Mb
Release : 1985-01-01
Category : Mathematics
ISBN : 0080872255

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Algorithms in Combinatorial Design Theory by C.J. Colbourn,M.J. Colbourn Pdf

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.

Author : C.J. Colbourn,R. Mathon
Publisher : Elsevier
Page : 469 pages
File Size : 49,5 Mb
Release : 2011-09-22
Category : Mathematics
ISBN : 0080872603

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Combinatorial Design Theory by C.J. Colbourn,R. Mathon Pdf

Combinatorial design theory is a vibrant area of combinatorics, connecting graph theory, number theory, geometry, and algebra with applications in experimental design, coding theory, and numerous applications in computer science. This volume is a collection of forty-one state-of-the-art research articles spanning all of combinatorial design theory. The articles develop new methods for the construction and analysis of designs and related combinatorial configurations; both new theoretical methods, and new computational tools and results, are presented. In particular, they extend the current state of knowledge on Steiner systems, Latin squares, one-factorizations, block designs, graph designs, packings and coverings, and develop recursive and direct constructions. The contributions form an overview of the current diversity of themes in design theory for those peripherally interested, while researchers in the field will find it to be a major collection of research advances. The volume is dedicated to Alex Rosa, who has played a major role in fostering and developing combinatorial design theory.