Quasi symmetric Designs

Author: Mohan S. Shrikhande
Publisher: Cambridge University Press
ISBN: 9780521414074
Format: PDF, Docs
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Design theory is a branch of combinatorics with applications in number theory, coding theory and geometry. In this book the authors discuss the generalization of results and applications to quasi-symmetric designs. The coverage is comprehensive and will be useful for researchers and graduate students. An attractive feature is the discussion of unsolved problems.

Codes Designs and Geometry

Author: Vladimir Tonchev
Publisher: Springer Science & Business Media
ISBN: 1461314232
Format: PDF
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Codes, Designs, and Geometry brings together in one place important contributions and up-to-date research results in this important area. Codes, Designs, and Geometry serves as an excellent reference, providing insight into some of the most important research issues in the field.

Association Schemes

Author: R. A. Bailey
Publisher: Cambridge University Press
ISBN: 9781139449939
Format: PDF, Kindle
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Association schemes are of interest to both mathematicians and statisticians and this book was written with both audiences in mind. For statisticians, it shows how to construct designs for experiments in blocks, how to compare such designs, and how to analyse data from them. The reader is only assumed to know very basic abstract algebra. For pure mathematicians, it tells why association schemes are important and develops the theory to the level of advanced research. This book arose from a course successfully taught by the author and as such the material is thoroughly class-tested. There are a great number of examples and exercises that will increase the book's appeal to both graduate students and their instructors. It is ideal for those coming either from pure mathematics or statistics backgrounds who wish to develop their understanding of association schemes.

Surveys in Combinatorics 1997

Author: R. A. Bailey
Publisher: Cambridge University Press
ISBN: 9780521598408
Format: PDF, ePub, Docs
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The invited lectures given at the 16th. British Combinatorial Conference, July 1997 at Queen Mary and Westfield College.

Information Security Coding Theory and Related Combinatorics

Author: Dean Crnkovic
Publisher: IOS Press
ISBN: 1607506629
Format: PDF, Mobi
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Information Coding and Combinatorics. This book contains papers based on the fourteen lectures presented at the NATO Advanced Study Institute Information Security and Related Combinatorics, held in Opatija, Croatia, May 31 June 11, 2010. The conference was widely attended by students and

Handbook of Combinatorics

Author: Gerard Meurant
Publisher: Elsevier
ISBN: 0080933351
Format: PDF, Docs
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Handbook of Combinatorics, Volume 1 focuses on basic methods, paradigms, results, issues, and trends across the broad spectrum of combinatorics. The selection first elaborates on the basic graph theory, connectivity and network flows, and matchings and extensions. Discussions focus on stable sets and claw free graphs, nonbipartite matching, multicommodity flows and disjoint paths, minimum cost circulations and flows, special proof techniques for paths and circuits, and Hamilton paths and circuits in digraphs. The manuscript then examines coloring, stable sets, and perfect graphs and embeddings and minors. The book takes a look at random graphs, hypergraphs, partially ordered sets, and matroids. Topics include geometric lattices, structural properties, linear extensions and correlation, dimension and posets of bounded degree, hypergraphs and set systems, stability, transversals, and matchings, and phase transition. The manuscript also reviews the combinatorial number theory, point lattices, convex polytopes and related complexes, and extremal problems in combinatorial geometry. The selection is a valuable reference for researchers interested in combinatorics.