Design theory
by Lindner, Charles C. Rodger, Christopher Andrew
Through both formal descriptions and many illustrations, this text presents some of the most important techniques used for constructing combinatorial designs. This edition contains extensive new material on embeddings, directed designs, universal algebraic representations of designs, and intersection properties of designs. It focuses on construction methods to provide readers with the expertise to produce nonstandard experimental designs when needed. The text also includes important results in …
Read More ↓Title Statements
- Full title :Design theory / C.C. Lindner, C.A. Rodger.
Summary
Through both formal descriptions and many illustrations, this text presents some of the most important techniques used for constructing combinatorial designs. This edition contains extensive new material on embeddings, directed designs, universal algebraic representations of designs, and intersection properties of designs. It focuses on construction methods to provide readers with the expertise to produce nonstandard experimental designs when needed. The text also includes important results in combinatorial designs, such as the existence ...
Read More ↓Edition Statements
- Publication Date:2009.
- Edition:2. ed
Publication Statements
- Publisher(s):CRC Press/Taylor & Francis Group
- Place of Publication:Boca Raton, FL
- Language:eng
- Publication Date:2009.
The Physical Object
- Description:263 s. : : illustrations.
Edition Identifiers
- ISBN:9781420082968, 1420082965
- oclc:ocn475374585
- LC Classification:QA166.25
- Dewey Decimal:511/.6
Table of Contents
Steiner Triple Systems The Existence Problem v 3 (mod 6): The Bose Construction v 1 (mod 6): The Skolem Construction v 5 (mod 6): The 6n + 5 Construction Quasigroups with Holes and Steiner Triple Systems The Wilson Construction Cyclic Steiner Triple Systems The 2n + 1 and 2n + 7 Constructions lambda-Fold Triple Systems Triple Systems of Index lambda> 1 The Existence of Indempotent Latin Squares 2-fold Triple Systems lambda= 3 and 6 lambda-Fold Triple Systems in General Quasigroup Identities and Graph Decompositions Quasigroup Identities Mendelsohn Triple Systems Revisited Steiner Triple Systems Revisited Maximum Packings and Minimum Coverings The General Problem Maximum Packings Minimum Coverings Kirkman Triple Systems A Recursive Construction Constructing Pairwise Balanced Designs Mutually Orthogonal Latin Squares Introduction The Euler and MacNeish Conjectures Disproof of the MacNeish Conjecture Disproof of the Euler Conjecture Orthogonal Latin Squares of Order n 2 (mod 4) Affine and Projective Planes Affine Planes Projective Planes Connections between Affine and Projective Planes Connection between Affine Planes and Complete Sets of MOLS Coordinating the Affine Plane Intersecti…
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