Author: Andries E. Brouwer Publisher: Springer Science & Business Media ISBN: 3642743412 Category : Mathematics Languages : en Pages : 513
Book Description
Ever since the discovery of the five platonic solids in ancient times, the study of symmetry and regularity has been one of the most fascinating aspects of mathematics. Quite often the arithmetical regularity properties of an object imply its uniqueness and the existence of many symmetries. This interplay between regularity and symmetry properties of graphs is the theme of this book. Starting from very elementary regularity properties, the concept of a distance-regular graph arises naturally as a common setting for regular graphs which are extremal in one sense or another. Several other important regular combinatorial structures are then shown to be equivalent to special families of distance-regular graphs. Other subjects of more general interest, such as regularity and extremal properties in graphs, association schemes, representations of graphs in euclidean space, groups and geometries of Lie type, groups acting on graphs, and codes are covered independently. Many new results and proofs and more than 750 references increase the encyclopaedic value of this book.
Author: Richard A. Brualdi Publisher: American Mathematical Soc. ISBN: 0821848658 Category : Mathematics Languages : en Pages : 278
Book Description
A collection of papers presented at the international conference IPM 20--Combinatorics 2009, which includes topics covering permutations, designs, graph minors, graph coloring, graph eigenvalues, distance regular graphs and association schemes, hypergraphs, and arrangements.
Author: Marc Fossorier Publisher: Springer Science & Business Media ISBN: 3540314237 Category : Computers Languages : en Pages : 348
Book Description
This book constitutes the refereed proceedings of the 16th International Symposium on Applied Algebra, Algebraic Algorithms and Error-Correcting Codes, AAECC-16, held in Las Vegas, NV, USA in February 2006. The 25 revised full papers presented together with 7 invited papers were carefully reviewed and selected from 32 submissions. Among the subjects addressed are block codes; algebra and codes: rings, fields, and AG codes; cryptography; sequences; decoding algorithms; and algebra: constructions in algebra, Galois groups, differential algebra, and polynomials.
Author: Steven Dougherty Publisher: American Mathematical Soc. ISBN: 147041032X Category : Mathematics Languages : en Pages : 280
Book Description
Contains the Proceedings of an International Conference on Noncommutative Rings and Their Applications, held July 1-4, 2013, at the Universite d'Artois, Lens, France. It presents recent developments in the theories of noncommutative rings and modules over such rings as well as applications of these to coding theory, enveloping algebras, and Leavitt path algebras.
Author: Yves Crama Publisher: Cambridge University Press ISBN: 0521847524 Category : Computers Languages : en Pages : 781
Book Description
A collection of papers written by prominent experts that examine a variety of advanced topics related to Boolean functions and expressions.