The Leading eBooks Store Online 4,416,707 members ⚫ 1,552,143 ebooks

New to eBooks.com?

Learn more

Ordering Block Designs

Gray Codes, Universal Cycles and Configuration Orderings

Ordering Block Designs by Megan Dewar
Buy this eBook
US$ 64.99
(If any tax is payable it will be calculated and shown at checkout.)

The study of combinatorial block designs is a vibrant area of combinatorial mathematics with connections to finite geometries, graph theory, coding theory and statistics. The practice of ordering combinatorial objects can trace its roots to bell ringing which originated in 17th century England, but only emerged as a significant modern research area with the work of F. Gray and N. de Bruijn. 

These two fascinating areas of mathematics are brought together for the first time in this book. It presents new terminology and concepts which unify existing and recent results from a wide variety of sources. In order to provide a complete introduction and survey, the book begins with background material on combinatorial block designs and combinatorial orderings, including Gray codes -- the most common and well-studied combinatorial ordering concept -- and universal cycles. The central chapter discusses how ordering concepts can be applied to block designs, with definitions from existing (configuration orderings) and new (Gray codes and universal cycles for designs) research. Two chapters are devoted to a survey of results in the field, including illustrative proofs and examples. The book concludes with a discussion of connections to a broad range of applications in computer science, engineering and statistics.

This book will appeal to both graduate students and researchers. Each chapter contains worked examples and proofs, complete reference lists, exercises and a list of conjectures and open problems. Practitioners will also find the book appealing for its accessible, self-contained introduction to the mathematics behind the applications. 

Springer New York; August 2012
218 pages; ISBN 9781461443254
Read online, or download in secure PDF format
Title: Ordering Block Designs
Author: Megan Dewar; Brett Stevens
 
  • News
  • Contents
No entry found
ISBNs
1461443253
9781461443247
9781461443254