Download or read book Combinatorial Designs and their Applications written by Kathleen Quinn and published by Taylor & Francis. This book was released on 2023-02-06 with total page 160 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Combinatorial Design Theory written by C.J. Colbourn and published by Elsevier. This book was released on 2011-09-22 with total page 469 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Combinatorial Designs written by Douglas Stinson and published by Springer Science & Business Media. This book was released on 2007-05-08 with total page 306 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Introduction to Combinatorial Designs written by W.D. Wallis and published by CRC Press. This book was released on 2016-04-19 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Combinatorial Configurations written by Vladimir Tonchev and published by Longman Scientific and Technical. This book was released on 1988 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Combinatorial Designs written by W.D. Wallis and published by CRC Press. This book was released on 1988-04-29 with total page 348 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Handbook of Combinatorial Designs written by C. J. Colbourn and published by Chapman and Hall/CRC. This book was released on 2006-11-02 with total page 1016 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book CRC Handbook of Combinatorial Designs written by Charles J. Colbourn and published by CRC Press. This book was released on 2010-12-12 with total page 778 pages. Available in PDF, EPUB and Kindle. Book excerpt: From experimental design to cryptography, this comprehensive, easy-to-access reference contains literally all the facts you need on combinatorial designs. It includes constructions of designs, existence results, and properties of designs. Organized into six main parts, the CRC Handbook of Combinatorial Designs covers:
Download or read book Algorithms in Combinatorial Design Theory written by C.J. Colbourn and published by Elsevier. This book was released on 1985-01-01 with total page 333 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Design Theory written by Charles C. Lindner and published by CRC Press. This book was released on 1997-06-25 with total page 216 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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, mutually 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. The many illustrations aid in understanding and enjoying the application of the constructions described. Written by professors with the needs of students in mind, this is destined to become the standard textbook for design theory.
Download or read book Combinatorial Designs written by A. Hartman and published by Elsevier. This book was released on 1989-10-11 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Haim Hanani pioneered the techniques for constructing designs and the theory of pairwise balanced designs, leading directly to Wilson's Existence Theorem. He also led the way in the study of resolvable designs, covering and packing problems, latin squares, 3-designs and other combinatorial configurations. The Hanani volume is a collection of research and survey papers at the forefront of research in combinatorial design theory, including Professor Hanani's own latest work on Balanced Incomplete Block Designs. Other areas covered include Steiner systems, finite geometries, quasigroups, and t-designs.
Download or read book Combinatorial Designs and Applications written by W.D. Wallis and published by CRC Press. This book was released on 2020-12-22 with total page 264 pages. Available in PDF, EPUB and Kindle. Book excerpt: An advanced reference containing 21 selected or consolidated papers presented at an international conference in April 1988 at Tunxi (now Hunangshan), China. Contains recent, previously unavailable findings of Chinese mathematicians; discusses problems, results, and proving methods of combinatorial d
Download or read book Handbook of Combinatorial Designs written by Charles J. Colbourn and published by CRC Press. This book was released on 2006-11-02 with total page 1011 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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
Download or read book Combinatorial Designs written by Douglas R. Stinson and published by . This book was released on 2014-01-15 with total page 322 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Finite Geometries and Combinatorial Designs written by Earl Sidney Kramer and published by American Mathematical Soc.. This book was released on 1990 with total page 332 pages. Available in PDF, EPUB and Kindle. Book excerpt: The proceedings of an AMS special session on finite geometries and combinatorial designs. Topics range over finite geometry, combinatorial designs, their automorphism groups and related structures.
Download or read book Triple Systems written by Charles J. Colbourn and published by Oxford University Press. This book was released on 1999 with total page 582 pages. Available in PDF, EPUB and Kindle. Book excerpt: Among the simplest combinatorial designs, triple systems have diverse applications in coding theory, cryptography, computer science, and statistics. This book provides a systematic and comprehensive treatment of this rich area of mathematics.
Download or read book Combinatorial Mathematics written by Herbert John Ryser and published by American Mathematical Soc.. This book was released on 1963-12-31 with total page 154 pages. Available in PDF, EPUB and Kindle. Book excerpt: Herbert J. Ryser is widely regarded as one of the major figures in combinatorics in the 20th century. His Combinatorial Mathematics is a classic which has enticed many young mathematics students into this area.
