2-transitive Symmetric Designs
Author: William M. Kantor
Publisher:
Published: 1968
Total Pages: 226
ISBN-13:
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Symmetric Designs
Author: Eric S. Lander
Publisher: Cambridge University Press
Published: 1983-01-20
Total Pages: 321
ISBN-13: 052128693X
DOWNLOAD EBOOKSymmetric 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.
Combinatorics of Symmetric Designs
Author: Yury J. Ionin
Publisher: Cambridge University Press
Published: 2006-05-25
Total Pages: 548
ISBN-13: 9780521818339
DOWNLOAD EBOOKThe 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. All researchers in combinatorial designs, coding theory, and finite geometries will find much of interest here, and this book can also serve as a text for an advanced course in combinatorial designs.
Design Theory: Volume 2
Author: Thomas Beth
Publisher: Cambridge University Press
Published: 1999-11-18
Total Pages: 524
ISBN-13: 9780521772310
DOWNLOAD EBOOKThis is the second edition of the standard text on design theory. Exercises are included throughout, and the book concludes with an extensive and updated bibliography of well over 1800 items.
CRC Handbook of Combinatorial Designs
Author: Charles J. Colbourn
Publisher: CRC Press
Published: 2010-12-12
Total Pages: 778
ISBN-13: 9781420049954
DOWNLOAD EBOOKFrom 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:
Design Theory: Volume 1
Author: Thomas Beth
Publisher: Cambridge University Press
Published: 1999-11-18
Total Pages: 730
ISBN-13: 9780521444323
DOWNLOAD EBOOKThis is the first volume of the second edition of the standard text on design theory.
Finite Geometries
Author: Johnson
Publisher: CRC Press
Published: 1983-01-18
Total Pages: 476
ISBN-13: 9780824710521
DOWNLOAD EBOOKHandbook of Combinatorial Designs
Author: Charles J. Colbourn
Publisher: CRC Press
Published: 2006-11-02
Total Pages: 1011
ISBN-13: 1420010549
DOWNLOAD EBOOKContinuing 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
Parallelisms of Complete Designs
Author: Peter J. Cameron
Publisher: Cambridge University Press
Published: 1976-06-10
Total Pages: 153
ISBN-13: 0521211603
DOWNLOAD EBOOKThese notes present an investigation of a condition similar to Euclid's parallel axiom for subsets of finite sets. The background material to the theory of parallelisms is introduced and the author then describes the links this theory has with other topics from the whole range of combinatorial theory and permutation groups. These include network flows, perfect codes, Latin squares, block designs and multiply-transitive permutation groups, and long and detailed appendices are provided to serve as introductions to these various subjects. Many of the results are published for the first time.
Combinatorics
Author: M. Hall Jr.
Publisher: Springer Science & Business Media
Published: 2012-12-06
Total Pages: 480
ISBN-13: 940101826X
DOWNLOAD EBOOKCombinatorics has come of age. It had its beginnings in a number of puzzles which have still not lost their charm. Among these are EULER'S problem of the 36 officers and the KONIGSBERG bridge problem, BACHET's problem of the weights, and the Reverend T.P. KIRKMAN'S problem of the schoolgirls. Many of the topics treated in ROUSE BALL'S Recreational Mathe matics belong to combinatorial theory. All of this has now changed. The solution of the puzzles has led to a large and sophisticated theory with many complex ramifications. And it seems probable that the four color problem will only be solved in terms of as yet undiscovered deep results in graph theory. Combinatorics and the theory of numbers have much in common. In both theories there are many prob lems which are easy to state in terms understandable by the layman, but whose solution depends on complicated and abstruse methods. And there are now interconnections between these theories in terms of which each enriches the other. Combinatorics includes a diversity of topics which do however have interrelations in superficially unexpected ways. The instructional lectures included in these proceedings have been divided into six major areas: 1. Theory of designs; 2. Graph theory; 3. Combinatorial group theory; 4. Finite geometry; 5. Foundations, partitions and combinatorial geometry; 6. Coding theory. They are designed to give an overview of the classical foundations of the subjects treated and also some indication of the present frontiers of research.
