Design Theory, 2nd Edition / Lindner, Charles.

Format:

Book

Author/Creator:

Lindner, Charles, author.

Rodger, Christopher, author.

Series:

Discrete mathematics and its applications

Language:

English

Subjects (All):

Combinatorial designs and configurations.

Physical Description:

1 online resource (272 pages)

Edition:

2nd edition

Place of Publication:

Chapman and Hall/CRC, 2017.

System Details:

text file

Summary:

Design Theory, Second Edition presents some of the most important techniques used for constructing combinatorial designs. It augments the descriptions of the constructions with many figures to help students understand and enjoy this branch of mathematics. This edition now offers a thorough development of the embedding of Latin squares and combinatorial designs. It also presents some pure mathematical ideas, including connections between universal algebra and graph designs. The authors focus on several basic designs, including Steiner triple systems, Latin squares, and finite projective and affine planes. They produce these designs using flexible constructions and then add interesting properties that may be required, such as resolvability, embeddings, and orthogonality. The authors also construct more complicated structures, such as Steiner quadruple systems. By providing both classical and state-of-the-art construction techniques, this book enables students to produce many other types of designs.

Contents:

Steiner triple systems

[lambda]-fold triple systems

Quasigroup identities and graph decompositions

Maximum packings and minimum coverings

Kirkman triple systems

Mutually orthogonal Latin squares

Affine and projective planes

Intersections of Steiner triple systems

Embeddings

Steiner quadruple systems.

Notes:

Online resource; Title from title page (viewed March 27, 2017)

Includes bibliographical references and index.

OCLC:

988029323