The spirit and aim of this book is to present a compact
introduction to the basic combinatorial tools - such as recurrence
relations, generating functions, incidence matrices, and the
inclusion-exclusion principle - that will give the reader a flavour
of the distinctive characteristics of this attractive and
increasingly important branch of mathematics. A studly of block
designs is followed by a brief mention of applications to coding
theory. In this new edition, Steiner triple systems are constructed
and S(5,8,24) is obtained via the Golay code of length 24. The
final chapter combines together the three combinatorial structures
of the Leech lattice, the Golay codes, and Steiner systems. Also in
this edition, an application of the marriage theorem to score
sequences of tournaments has been included.
General
Imprint: |
Clarendon Press
|
Country of origin: |
United Kingdom |
Series: |
Oxford Applied Mathematics and Computing Science Series |
Release date: |
May 1989 |
First published: |
October 1989 |
Authors: |
Ian Anderson
(Department of Mathematics)
|
Dimensions: |
216 x 138 x 8mm (L x W x T) |
Format: |
Paperback
|
Pages: |
144 |
Edition: |
2nd Revised edition |
ISBN-13: |
978-0-19-859673-8 |
Categories: |
Books >
Science & Mathematics >
Mathematics >
General
|
LSN: |
0-19-859673-1 |
Barcode: |
9780198596738 |
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