Algorithms In Combinatorial Design Theory

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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 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 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.

Combinatorial Algorithms For Integrated Circuit Layout

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Author :
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06

Combinatorial Algorithms For Integrated Circuit Layout written by and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Technology & Engineering categories.

The last decade has brought explosive growth in the technology for manufac turing integrated circuits. Integrated circuits with several hundred thousand transistors are now commonplace. This manufacturing capability, combined with the economic benefits of large electronic systems, is forcing a revolution in the design of these systems and providing a challenge to those people in terested in integrated system design. Modern circuits are too complex for an individual to comprehend completely. Managing tremendous complexity and automating the design process have become crucial issues. Two groups are interested in dealing with complexity and in developing algorithms to automate the design process. One group is composed of practi tioners in computer-aided design (CAD) who develop computer programs to aid the circuit-design process. The second group is made up of computer scientists and mathemati'::~l\ns who are interested in the design and analysis of efficient combinatorial aJ::,orithms. These two groups have developed separate bodies of literature and, until recently, have had relatively little interaction. An obstacle to bringing these two groups together is the lack of books that discuss issues of importance to both groups in the same context. There are many instances when a familiarity with the literature of the other group would be beneficial. Some practitioners could use known theoretical results to improve their "cut and try" heuristics. In other cases, theoreticians have published impractical or highly abstracted toy formulations, thinking that the latter are important for circuit layout.

Combinatorial Designs

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Author : Douglas R. Stinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2004

Combinatorial Designs written by Douglas R. Stinson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2004 with Computers categories.

"Combinatorial Designs aims to thoroughly develop the most important techniques used for constructing combinatorial designs. The book provides a detailed and clear exposition of the classical core of combinatorial designs, treating the material progressively from simple to more complex. Readers will master various construction techniques, both classic and modern, and will be well prepared to build a vast array of combinatorial designs. The main prerequisites are familiarity with basic abstract algebra, linear algebra and some number theory fundamentals."--BOOK JACKET.

Designs Graphs Codes And Their Links

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Author : P. J. Cameron
language : en
Publisher: Cambridge University Press
Release Date : 1991-09-19

Designs Graphs Codes And Their Links written by P. J. Cameron and has been published by Cambridge University Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1991-09-19 with Mathematics categories.

This book stresses the connection between, and the applications of, design theory to graphs and codes. Beginning with a brief introduction to design theory and the necessary background, the book also provides relevant topics for discussion from the theory of graphs and codes.

Combinatorial Algorithms

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Author : Paola Flocchini
language : en
Publisher: Springer Nature
Release Date : 2021-06-30

Combinatorial Algorithms written by Paola Flocchini and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2021-06-30 with Computers categories.

This book constitutes the proceedings of the 32nd International Workshop on Combinatorial Algorithms which was planned to take place in Ottawa, ON, Canada, in July 2021. Due to the COVID-19 pandemic the conference changed to a virtual format. The 38 full papers included in this book together with 2 invited talks were carefully reviewed and selected from 107 submissions. They focus on algorithms design for the myriad of combinatorial problems that underlie computer applications in science, engineering and business. Chapter “Minimum Eccentricity Shortest Path Problem with Respect to Structural Parameters” is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

Handbook Of Graph Theory Combinatorial Optimization And Algorithms

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Author : Krishnaiyan Thulasiraman
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2015-12-18

Handbook Of Graph Theory Combinatorial Optimization And Algorithms written by Krishnaiyan Thulasiraman and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2015-12-18 with Mathematics categories.

This handbook provides comprehensive coverage of basic concepts and recent developments in the field. Focusing on design, proof of correctness, and complexity analysis, this volume presents a detailed discussion of algorithms that are useful in a variety of applications and offers an authoritative review of the current state of the art. Using figures to help illustrate the concepts, the book examines topics, such as incremental algorithms and online algorithms, that have yet to receive much attention but have great potential for future applications.

Handbook Of Combinatorial Designs

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Author : C. J. Colbourn
language : en
Publisher: Chapman and Hall/CRC
Release Date : 2006-11-02

Handbook Of Combinatorial Designs written by C. J. Colbourn and has been published by Chapman and Hall/CRC this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-02 with Mathematics categories.

Continuing in the bestselling, informative tradition of the first edition, the Handbook of Combinatorial Designs, Second Edition remains the only resource to contain all of the most important results and tables in the field of combinatorial design. This handbook covers the constructions, properties, and applications of designs as well as existence results. Over 30% longer than the first edition, the book builds upon the groundwork of its predecessor while retaining the original contributors' expertise. The first part contains a brief introduction and history of the subject. The following parts focus on four main classes of combinatorial designs: balanced incomplete block designs, orthogonal arrays and Latin squares, pairwise balanced designs, and Hadamard and orthogonal designs. Closely connected to the preceding sections, the next part surveys 65 additional classes of designs, such as balanced ternary, factorial, graphical, Howell, quasi-symmetric, and spherical. The final part presents mathematical and computational background related to design theory. New to the Second Edition An introductory part that provides a general overview and a historical perspective of the area New chapters on the history of design theory, various codes, bent functions, and numerous types of designs Fully updated tables, including BIBDs, MOLS, PBDs, and Hadamard matrices Nearly 2,200 references in a single bibliographic section Meeting the need for up-to-date and accessible tabular and reference information, this handbook provides the tools to understand combinatorial design theory and applications that span the entire discipline. The author maintains a website with more information.

Combinatorial Optimization

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Author : Bernhard H. Korte
language : en
Publisher: Springer Science & Business Media
Release Date : 2006

Combinatorial Optimization written by Bernhard H. Korte and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006 with Computers categories.

This comprehensive textbook on combinatorial optimization puts special emphasis on theoretical results and algorithms with provably good performance, in contrast to heuristics. It has arisen as the basis of several courses on combinatorial optimization and more special topics at graduate level. Since the complete book contains enough material for at least four semesters (4 hours a week), one usually selects material in a suitable way. The book contains complete but concise proofs, also for many deep results, some of which did not appear in a book before. Many very recent topics are covered as well, and many references are provided. Thus this book represents the state of the art of combinatorial optimization. This third edition contains a new chapter on facility location problems, an area which has been extremely active in the past few years. Furthermore there are several new sections and further material on various topics. New exercises and updates in the bibliography were added. From the reviews of the 2nd edition: "This book on combinatorial optimization is a beautiful example of the ideal textbook." Operations Resarch Letters 33 (2005), p.216-217 "The second edition (with corrections and many updates) of this very recommendable book documents the relevant knowledge on combinatorial optimization and records those problems and algorithms that define this discipline today. To read this is very stimulating for all the researchers, practitioners, and students interested in combinatorial optimization." OR News 19 (2003), p.42