Foremost experts in their field have contributed articles resulting in a compilation of useful and timely surveys in this ever-expanding field. Each of these 12 original papers covers important aspects of design theory including several in areas that have not previously been surveyed. Also contains surveys updating earlier ones where research is particularly active.
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Foremost experts in their field have contributed articles resulting in a compilation of useful and timely surveys in this ever-expanding field. Each of these 12 original papers covers important aspects of design theory including several in areas that have not previously been surveyed. Also contains surveys updating earlier ones where research is particularly active.
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3 of 3 people found the following review helpful:
5.0 out of 5 stars
A MUST HAVE for the design theorist,
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This review is from: Contemporary Design Theory: A Collection of Surveys (Wiley Series in Discrete Mathematics and Optimization) (Hardcover)
This book is an excellent collection of survey articles that spans the breadth of design theory. This book, in addition to the CRC Handbook of Combinatorial Designs should be on every design theorist's shelf.
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Inside This Book
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First Sentence:
In this introduction, we give some basic definitions, establish standard notation, and present some fundamental "classical" results in combinatorial design theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
directed triple systems, pairwise amicable, planar difference set, abelian difference sets, balanced tournament designs, pairwise orthogonal conjugates, transitive triple systems, derived triple systems, minimum chromatic index, supplementary difference sets, amicable orthogonal designs, singular direct product construction, extraneous multiplier, idempotent commutative quasigroup, skew starter, balanced starters, partial triple system, nonperiodic autocorrelation function, orthogonal matching, complete multigraph, idempotent models, symmetric conference matrix, tripling construction, cyclic triples, patterned starter Key Phrases - Capitalized Phrases (CAPs): (learn more)
Discrete Math, Ars Combin, Congr Numer, Utilitas Math, New York, Amer Math, Aequationes Math, Proof Let, Notes Math, Combinatorial Mathematics, Construction Let, Graphs Combin, John Wiley, Cambridge University Press, Collection of Surveys, London Math, Contemporary Design Theory, Key Method Explanation, Academic Press, Combinatorial Theory, Marcel Dekker, Discrete Appl, Lecture Notes, M-structure Hadamard, Pure Math New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In this introduction, we give some basic definitions, establish standard notation, and present some fundamental "classical" results in combinatorial design theory. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
directed triple systems, pairwise amicable, planar difference set, abelian difference sets, balanced tournament designs, pairwise orthogonal conjugates, transitive triple systems, derived triple systems, minimum chromatic index, supplementary difference sets, amicable orthogonal designs, singular direct product construction, extraneous multiplier, idempotent commutative quasigroup, skew starter, balanced starters, partial triple system, nonperiodic autocorrelation function, orthogonal matching, complete multigraph, idempotent models, symmetric conference matrix, tripling construction, cyclic triples, patterned starter Key Phrases - Capitalized Phrases (CAPs): (learn more)
Discrete Math, Ars Combin, Congr Numer, Utilitas Math, New York, Amer Math, Aequationes Math, Proof Let, Notes Math, Combinatorial Mathematics, Construction Let, Graphs Combin, John Wiley, Cambridge University Press, Collection of Surveys, London Math, Contemporary Design Theory, Key Method Explanation, Academic Press, Combinatorial Theory, Marcel Dekker, Discrete Appl, Lecture Notes, M-structure Hadamard, Pure Math 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 56
books:
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46
books
cite this book:
See all 46 books citing this book
- Design Theory: Volume 1 (Encyclopedia of Mathematics and its Applications) by Thomas Beth on 11 pages
- Triple Systems (Oxford Mathematical Monographs) by Charles J. Colbourn on 8 pages
- Combinatorial Theory (Wiley Classics Library) by Marshall Hall on 4 pages
- Finite Geometries (Developments in Mathematics) by Aart Blokhuis on 4 pages
- Combinatorics of Experimental Design (Oxford science publications) by Anne Penfold Street on page 12, and page 429
See all 56 books this book cites
- Surveys in Combinatorics, 1999 (London Mathematical Society Lecture Note Series) by J. D. Lamb on page 87, and page 88
- Classification Algorithms for Codes and Designs (Algorithms and Computation in Mathematics) by Petteri Kaski in Back Matter (1), and Back Matter (2)
- Groups, Difference Sets, and the Monster: Proceedings of a Special Research Quarter at the Ohio State University, Spring 1993 (Ohio State University Mathematical Research Institute Publications, 4) by K. T. Arasu on page 143, and page 192
- Hadamard Matrices and Their Applications by K. J. Horadam in Back Matter (1), and Back Matter (2)
- Modified Lagrangians and Monotone Maps in Optimization by E. G. Golshtein in Back Matter
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