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Geometry, Combinatorial Designs and Related Structures

Geometry, Combinatorial Designs and Related Structures
Author: J. W. P. Hirschfeld
Publisher: Cambridge University Press
Total Pages: 269
Release: 1997-08-14
Genre: Mathematics
ISBN: 052159538X

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This volume examines state of the art research in finite geometries and designs.


Geometry, Combinatorial Designs and Related Structures

Geometry, Combinatorial Designs and Related Structures
Author: J. W. P. Hirschfeld
Publisher:
Total Pages: 268
Release: 1997
Genre: Combinatorial designs and configurations
ISBN: 9781107367487

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This volume examines state of the art research in finite geometries and designs.


Finite Geometries and Combinatorial Designs

Finite Geometries and Combinatorial Designs
Author: Earl Sidney Kramer
Publisher: American Mathematical Soc.
Total Pages: 332
Release: 1990
Genre: Mathematics
ISBN: 0821851187

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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.


Finite Geometries and Combinatorial Designs

Finite Geometries and Combinatorial Designs
Author: Earl Sidney Kramer
Publisher: American Mathematical Soc.
Total Pages: 334
Release: 1990-11-20
Genre: Mathematics
ISBN: 9780821854440

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More than eighty participants from all over the world attended an AMS Special Session on Finite Geometries and Combinatorial Designs held in Lincoln, Nebraska, in the fall of 1987. This volume contains the proceedings of that Special Session, in addition to several invited papers. Employing state-of-the-art combinatorial and geometric methods, the papers show significant advances in this area. Topics range over finite geometry, combinatorial designs, their automorphism groups, and related structures. Requiring graduate-level background, this book is intended primarily for researchers in finite geometries and combinatorial designs. However, the interested nonspecialist will find that the book provides an excellent overview of current activity in these areas.


Geometry, Structure and Randomness in Combinatorics

Geometry, Structure and Randomness in Combinatorics
Author: Jiří Matousek
Publisher: Springer
Total Pages: 156
Release: 2015-04-09
Genre: Mathematics
ISBN: 887642525X

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​This book collects some surveys on current trends in discrete mathematics and discrete geometry. The areas covered include: graph representations, structural graphs theory, extremal graph theory, Ramsey theory and constrained satisfaction problems.


Combinatorics and Finite Geometry

Combinatorics and Finite Geometry
Author: Steven T. Dougherty
Publisher: Springer Nature
Total Pages: 374
Release: 2020-10-30
Genre: Mathematics
ISBN: 3030563952

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This undergraduate textbook is suitable for introductory classes in combinatorics and related topics. The book covers a wide range of both pure and applied combinatorics, beginning with the very basics of enumeration and then going on to Latin squares, graphs and designs. The latter topic is closely related to finite geometry, which is developed in parallel. Applications to probability theory, algebra, coding theory, cryptology and combinatorial game theory comprise the later chapters. Throughout the book, examples and exercises illustrate the material, and the interrelations between the various topics is emphasized. Readers looking to take first steps toward the study of combinatorics, finite geometry, design theory, coding theory, or cryptology will find this book valuable. Essentially self-contained, there are very few prerequisites aside from some mathematical maturity, and the little algebra required is covered in the text. The book is also a valuable resource for anyone interested in discrete mathematics as it ties together a wide variety of topics.


Handbook of Combinatorial Designs

Handbook of Combinatorial Designs
Author: Charles J. Colbourn
Publisher: CRC Press
Total Pages: 1011
Release: 2006-11-02
Genre: Computers
ISBN: 1420010549

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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


Noncommutative Localization in Algebra and Topology

Noncommutative Localization in Algebra and Topology
Author: Andrew Ranicki
Publisher: Cambridge University Press
Total Pages: 332
Release: 2006-02-09
Genre: Mathematics
ISBN: 9780521681605

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Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P. M. Cohn), it is now an important tool not only in pure algebra but also in the topology of non-simply-connected spaces, algebraic geometry and noncommutative geometry. This volume consists of 9 articles on noncommutative localization in algebra and topology by J. A. Beachy, P. M. Cohn, W. G. Dwyer, P. A. Linnell, A. Neeman, A. A. Ranicki, H. Reich, D. Sheiham and Z. Skoda. The articles include basic definitions, surveys, historical background and applications, as well as presenting new results. The book is an introduction to the subject, an account of the state of the art, and also provides many references for further material. It is suitable for graduate students and more advanced researchers in both algebra and topology.