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Return to Book Page. This book is an introductory text on the combinatorial theory of finite geometry. It assumes only a basic knowledge of set theory and analysis, but soon leads the student to results at the frontiers of research.
Combinatorics of Finite Geometries
The revised edition contains an entirely new chapter on blocking sets in linear spaces, which highlights some of the most important applications of blocking sets-- This book is an introductory text on the combinatorial theory of finite geometry. The revised edition contains an entirely new chapter on blocking sets in linear spaces, which highlights some of the most important applications of blocking sets--from the initial game-theoretic setting to their very recent use in cryptography.
Extensive exercises at the end of each chapter insure the usefulness of this book for senior undergraduate and beginning graduate students. Get A Copy.
Combinatorics and Discrete Geometry
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Community Reviews. The United Nations Security Council is an example of a simple game. A secret sharing scheme divides the secret 'S' into shares - one for every user - in such a way that allows 'S' to be easily reconstructed by any authorised subset of users. Our research focuses on discrete objects with a high degree of symmetry under particular conditions, such as graphs, networks, maps, tessellated surfaces, polytopes and 3-manifolds. Typically, symmetries form a group that can be presented in a particular form, associated with the kind of object being considered.
Combinatorics - Wikipedia
Examples are analysed in terms of the object itself, the group, or the ambient space. The Department of Mathematics hosts many international visitors. Some of our notable visitors in the field of algebra and combinatorics include:. Accessibility Links Skip to site search Skip to main content. Breadcrumbs List. Show Truncated Breadcrumbs. Algebra and combinatorics research.
As part of this work, we make extensive use of computational algebra packages. Elliptic curves, algorithms and public key cryptography Public key cryptography is an extremely active topic of research with significant application in e-commerce and internet security.