This is the first exposition of the theory of quasi-symmetric designs, that is, combinatorial designs with at most two block intersection numbers. The authors aim to bring out the interaction among designs, finite geometries, and strongly regular graphs. The book starts with basic, classical material on designs and strongly regular graphs and continues with a discussion of some important results on quasi-symmetric designs. The later chapters include a combinatorial construction of the Witt designs from the projective plane of order four, recent results dealing with a structural study of designs resulting from Cameron's classification theory on extensions of symmetric designs, and results on the classification problem of quasi-symmetric designs. The final chapter presents connections to coding theory.
FREE Two-Day Shipping for students on millions of items. Learn more |
Book Description
Special Offers and Product Promotions
- Buy $50 in qualifying physical textbooks, get $5 in Amazon MP3 Credit. Here's how (restrictions apply)
Editorial Reviews
Review
"...researchers in design theory should find this monograph to be a valuable resource." A.R. Calderbank, Bulletin of the American Mathematical Society
"The authors have done a thorough job of surveying the literature up to the time they wrote the book." Sylvia A. Hobart, Mathematical Reviews
"The authors have done a thorough job of surveying the literature up to the time they wrote the book." Sylvia A. Hobart, Mathematical Reviews
Book Description
The authors stress the interaction among designs, finite geometries, and strongly regular graphs in the first study of the theory of quasi-symmetric designs or combinatorial designs with at most two block intersection numbers.
Product Details
Would you like to update product info or give feedback on images?
|
More About the Author
Discover books, learn about writers, read author blogs, and more.
Customer Reviews
|
There are no customer reviews yet.
|
|||
|
Video reviews
|
Inside This Book
(learn more)
First Sentence:
In this first chapter, we collect together and review some basic definitions, notation, and results from design theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
strongly regular decomposition, mutually disjoint blocks, block intersection numbers, two intersection numbers, incidence structure whose points, affine designs, blocks disjoint, polynomial tool, strongly regular graph, partial geometry, exceptional parameters, partial geometries, block graph, symmetric designs, blocks intersect, regular graphs, geometric graph, block residual, generalized quadrangle, derived design, balanced incomplete block designs, van lint, association scheme, repeated blocks, whose blocks Key Phrases - Capitalized Phrases (CAPs): (learn more)
Concluding Remarks New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In this first chapter, we collect together and review some basic definitions, notation, and results from design theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
strongly regular decomposition, mutually disjoint blocks, block intersection numbers, two intersection numbers, incidence structure whose points, affine designs, blocks disjoint, polynomial tool, strongly regular graph, partial geometry, exceptional parameters, partial geometries, block graph, symmetric designs, blocks intersect, regular graphs, geometric graph, block residual, generalized quadrangle, derived design, balanced incomplete block designs, van lint, association scheme, repeated blocks, whose blocks Key Phrases - Capitalized Phrases (CAPs): (learn more)
Concluding Remarks New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 23
books:
See all 23 books this book cites
6
books
cite this book:
See all 6 books citing this book
- Finite Geometries (Developments in Mathematics) by Aart Blokhuis on 4 pages
- Design Theory: Volume 1 (Encyclopedia of Mathematics and its Applications) by Thomas Beth in Front Matter, Back Matter (1), and Back Matter (2)
- Combinatorial Theory (Wiley Classics Library) by Marshall Hall in Front Matter, and Back Matter
- Studies in Combinatorics (Maa Studies in Mathematics) by Gian-Carol Rota in Front Matter, and Back Matter
- Combinatorial Mathematics (Carus Mathematical Monographs No. 14) by Herbert Ryser in Front Matter, and Back Matter
See all 23 books this book cites
- Number Theory and Discrete Mathematics (Trends in Mathematics) by A.K. Agarwal on page 85, and page 88
- Designs and their Codes (Cambridge Tracts in Mathematics) by E. F. Assmus in Back Matter
- Algebraic Graph Theory (Graduate Texts in Mathematics) by Chris Godsil on page 247
- Algebraic Graph Theory by Chris Godsil on page 247
- Designs and their Codes (Cambridge Tracts in Mathematics) by E. F. Assmus in Back Matter
See all 6 books citing this book
Books on Related Topics
(learn more)
|
Tags Customers Associate with This Product(What's this?)Click on a tag to find related items, discussions, and people.
|
Sell a Digital Version of This Book in the Kindle Store
If you are a publisher or author and hold the digital rights to a book, you can sell a digital version of it in our Kindle Store.
Learn more
Customer Discussions
|
This product's forum
Active discussions in related forums
Search Customer Discussions
|
Related forums
|
