Combinatorial Theory And Statistical Design
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Combinatorial Theory And Statistical Design
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Author : Gregory M. Constantine
language : en
Publisher:
Release Date : 1987-05-04
Combinatorial Theory And Statistical Design written by Gregory M. Constantine and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987-05-04 with Mathematics categories.
This balanced and comprehensive treatment of topics in discrete mathematics and statistical design raises new questions and assesses potential difficulties surrounding various techniques. Covers a broad range of topics, from counting and enumeration techniques to graphs and networks, combinatorial and statistical designs, and partially ordered sets. Presents several methods of construction, many appearing for the first time in book form. Theory is carefully developed and presented in a conversational way that gears readers toward important new ideas and illustrates the necessity of introducing new techniques. Also examines the practical applications of results. Two entire sections are devoted to Polya's and DeBruign's enumeration of results, presenting them in the form of step-by-step recipes, ready for use by research workers.
Combinatorial Designs And Their Applications
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Author : Kathleen Quinn
language : en
Publisher: Taylor & Francis
Release Date : 2023-02-06
Combinatorial Designs And Their Applications written by Kathleen Quinn and has been published by Taylor & Francis this book supported file pdf, txt, epub, kindle and other format this book has been release on 2023-02-06 with Mathematics categories.
The fruit of a conference that gathered seven very active researchers in the field, Combinatorial Design and their Applications presents a wide but representative range of topics on the non-geometrical aspects of design theory. By concentrating on a few important areas, the authors succeed in providing greater detail in these areas in a more complete and accessible form. Through their contributions to this collection, they help fill a gap in the available combinatorics literature.The papers included in this volume cover recent developments in areas of current interest, such as difference sets, cryptography, and optimal linear codes. Researchers in combinatorics and other areas of pure mathematics, along with researchers in statistics and computer design will find in-depth, up-to-date discussions of design theory and the application of the theory to statistical design, codes, and cryptography.
Introduction To Combinatorial Theory
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Author : R. C. Bose
language : en
Publisher:
Release Date : 1984-03-19
Introduction To Combinatorial Theory written by R. C. Bose and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1984-03-19 with Mathematics categories.
A ``hands-on'' constructive and computational approach to combinatorial topics with real-life modern applications. Provides a simple treatment of the subject. Introduces topics such as counting, designs and graphs. The notation is standard and kept to a minimum. Chapters end with historical remarks and suggestions for further reading.
Introduction To Combinatorial Designs
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Author : W.D. Wallis
language : en
Publisher: CRC Press
Release Date : 2016-04-19
Introduction To Combinatorial Designs written by W.D. Wallis and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-04-19 with Computers categories.
Combinatorial theory is one of the fastest growing areas of modern mathematics. Focusing on a major part of this subject, Introduction to Combinatorial Designs, Second Edition provides a solid foundation in the classical areas of design theory as well as in more contemporary designs based on applications in a variety of fields. After an o
Combinatorics Of Experimental Design
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Author : Anne Penfold Street
language : en
Publisher: Oxford University Press, USA
Release Date : 1987
Combinatorics Of Experimental Design written by Anne Penfold Street and has been published by Oxford University Press, USA this book supported file pdf, txt, epub, kindle and other format this book has been release on 1987 with Combinatorial designs and configurations. categories.
This book describes direct and recursive methods for the construction of combinatorial designs. It is ideally suited to the statistician through its discussion of how the designs currently used in experimental work have been obtained and through its coverage of other known and potentially useful designs. It is equally suited to the needs of the combinatorialist, with its stress on the statistical motivation for studying particular finite structures and its suggestions of open problems in the construction of new designs with useful properties for the experimentalist. Designs are discussed within a unified framework, showing the interplay between elegant structure and practical use.
Algorithms In Combinatorial Design Theory
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Author : C.J. Colbourn
language : en
Publisher: Elsevier
Release Date : 1985-01-01
Algorithms In Combinatorial Design Theory written by C.J. Colbourn and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 1985-01-01 with Mathematics categories.
The scope of the volume includes all algorithmic and computational aspects of research on combinatorial designs. Algorithmic aspects include generation, isomorphism and analysis techniques - both heuristic methods used in practice, and the computational complexity of these operations. The scope within design theory includes all aspects of block designs, Latin squares and their variants, pairwise balanced designs and projective planes and related geometries.
Combinatorial Theory
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Author : Marshall Hall
language : en
Publisher: John Wiley & Sons
Release Date : 2011-08-15
Combinatorial Theory written by Marshall Hall and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-08-15 with Mathematics categories.
Includes proof of van der Waerden's 1926 conjecture on permanents, Wilson's theorem on asymptotic existence, and other developments in combinatorics since 1967. Also covers coding theory and its important connection with designs, problems of enumeration, and partition. Presents fundamentals in addition to latest advances, with illustrative problems at the end of each chapter. Enlarged appendixes include a longer list of block designs.
A Survey Of Combinatorial Theory
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Author : Jagdish N. Srivastava
language : en
Publisher:
Release Date :
A Survey Of Combinatorial Theory written by Jagdish N. Srivastava and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on with Combinatorial analysis categories.
The papers included in this volume were solicited and presented at a symposium in honor of Professor R. C. Bose in 1971, who has been active in mathematics and statistics since 1926. While his interest in coding theory is recent, it is expected to continue as he remains active as a mathematician.
Combinatorial Design Theory
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Author : C.J. Colbourn
language : en
Publisher: Elsevier
Release Date : 2011-09-22
Combinatorial Design Theory written by C.J. Colbourn and has been published by Elsevier this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-09-22 with Mathematics categories.
Combinatorial design theory is a vibrant area of combinatorics, connecting graph theory, number theory, geometry, and algebra with applications in experimental design, coding theory, and numerous applications in computer science. This volume is a collection of forty-one state-of-the-art research articles spanning all of combinatorial design theory. The articles develop new methods for the construction and analysis of designs and related combinatorial configurations; both new theoretical methods, and new computational tools and results, are presented. In particular, they extend the current state of knowledge on Steiner systems, Latin squares, one-factorizations, block designs, graph designs, packings and coverings, and develop recursive and direct constructions. The contributions form an overview of the current diversity of themes in design theory for those peripherally interested, while researchers in the field will find it to be a major collection of research advances. The volume is dedicated to Alex Rosa, who has played a major role in fostering and developing combinatorial design theory.
Combinatorial Designs
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Author : Douglas Stinson
language : en
Publisher: Springer
Release Date : 2011-12-14
Combinatorial Designs written by Douglas Stinson and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-12-14 with Mathematics categories.
Created to teach students many of the most important techniques used for constructing combinatorial designs, this is an ideal textbook for advanced undergraduate and graduate courses in combinatorial design theory. The text features clear explanations of basic designs, such as Steiner and Kirkman triple systems, mutual orthogonal Latin squares, finite projective and affine planes, and Steiner quadruple systems. In these settings, the student will master various construction techniques, both classic and modern, and will be well-prepared to construct a vast array of combinatorial designs. Design theory offers a progressive approach to the subject, with carefully ordered results. It begins with simple constructions that gradually increase in complexity. Each design has a construction that contains new ideas or that reinforces and builds upon similar ideas previously introduced. A new text/reference covering all apsects of modern combinatorial design theory. Graduates and professionals in computer science, applied mathematics, combinatorics, and applied statistics will find the book an essential resource.