Graphs, Codes and Designs
Graphs, Codes and Designs

Author: P. J. Cameron

Publisher: Cambridge University Press

Published: 1980-07-31

Total Pages: 157

ISBN-13: 0521231418

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This book is concerned with the relations between graphs, error-correcting codes and designs, in particular how techniques of graph theory and coding theory can give information about designs. A major revision and expansion of a previous volume in this series, this account includes many examples and new results as well as improved treatments of older material. So that non-specialists will find the treatment accessible the authors have included short introductions to the three main topics. This book will be welcomed by graduate students and research mathematicians and be valuable for advanced courses in finite combinatorics.

Designs, Graphs, Codes and Their Links
Designs, Graphs, Codes and Their Links

Author: P. J. Cameron

Publisher: Cambridge University Press

Published: 1991-09-19

Total Pages: 256

ISBN-13: 9780521423854

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Although graph theory, design theory, and coding theory had their origins in various areas of applied mathematics, today they are to be found under the umbrella of discrete mathematics. Here the authors have considerably reworked and expanded their earlier successful books on graphs, codes and designs, into an invaluable textbook. They do not seek to consider each of these three topics individually, but rather to stress the many and varied connections between them. The discrete mathematics needed is developed in the text, making this book accessible to any student with a background of undergraduate algebra. Many exercises and useful hints are included througout, and a large number of references are given.

Graphs, Codes and Designs
Graphs, Codes and Designs

Author: Peter Jephson Cameron

Publisher:

Published: 2014-05-14

Total Pages: 156

ISBN-13: 9781107360952

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This book is concerned with the relations between graphs, error-correcting codes and designs, in particular how techniques of graph theory and coding theory can give information about designs. A major revision and expansion of a previous volume in this series, this account includes many examples and new results as well as improved treatments of older material. So that non-specialists will find the treatment accessible the authors have included short introductions to the three main topics. This book will be welcomed by graduate students and research mathematicians and be valuable for advanced courses in finite combinatorics.

Designs, Graphs, Codes and Their Links
Designs, Graphs, Codes and Their Links

Author: Peter Jephson Cameron

Publisher:

Published: 2014-05-14

Total Pages: 251

ISBN-13: 9781107361744

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This book demonstrates the connection between, and the applications of, design theory to graphs and codes. It is suitable as a textbook for advanced undergraduate students.

Graph Theory, Coding Theory and Block Designs
Graph Theory, Coding Theory and Block Designs

Author: P. J. Cameron

Publisher: Cambridge University Press

Published: 1975-09-18

Total Pages: 125

ISBN-13: 0521207428

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These are notes deriving from lecture courses on the theory of t-designs and graph theory given by the authors in 1973 at Westfield College, London.

Strongly Regular Graphs
Strongly Regular Graphs

Author: Andries E. Brouwer

Publisher:

Published: 2022-01-13

Total Pages: 481

ISBN-13: 1316512037

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This monograph on strongly regular graphs is an invaluable reference for anybody working in algebraic combinatorics.

Designs and Their Codes
Designs and Their Codes

Author: E. F. Assmus

Publisher: Cambridge University Press

Published: 1994-01-06

Total Pages: 366

ISBN-13: 9780521458399

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A self-contained account suited for a wide audience describing coding theory, combinatorial designs and their relations.

Fundamentals of Codes, Graphs, and Iterative Decoding
Fundamentals of Codes, Graphs, and Iterative Decoding

Author: Stephen B. Wicker

Publisher: Springer Science & Business Media

Published: 2002-10-31

Total Pages: 241

ISBN-13: 1402072643

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Fundamentals of Codes, Graphs, and Iterative Decoding is an explanation of how to introduce local connectivity, and how to exploit simple structural descriptions. Chapter 1 provides an overview of Shannon theory and the basic tools of complexity theory, communication theory, and bounds on code construction. Chapters 2 - 4 provide an overview of "classical" error control coding, with an introduction to abstract algebra, and block and convolutional codes. Chapters 5 - 9 then proceed to systematically develop the key research results of the 1990s and early 2000s with an introduction to graph theory, followed by chapters on algorithms on graphs, turbo error control, low density parity check codes, and low density generator codes.

Graph Design for the Eye and Mind
Graph Design for the Eye and Mind

Author: Stephen Michael Kosslyn

Publisher: Oxford University Press

Published: 2006

Total Pages: 303

ISBN-13: 0195306627

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Addresses the problems that arise when we attempt to convey information with visual displays such as graphs by presenting psychological principles for constructing effective graphs. This work is useful for those who use visual displays to convey information in the sciences, humanities, and business such as finance, marketing, and advertising.