Graph Symmetry

Graph Symmetry

Author: Gena Hahn

Publisher: Springer Science & Business Media

ISBN: 9789401589376

Category: Mathematics

Page: 418

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The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks it was realised that many of the most fre quently used models for such networks are Cayley graphs of various well-known groups. This has spawned a considerable amount of activity in the study of the combinatorial properties of such graphs. A number of symposia and congresses (such as the bi-annual IWIN, starting in 1991) bear witness to the interest of the computer science community in this subject. On the mathematical side, and independently of any interest in applications, progress in group theory has made it possible to make a realistic attempt at a complete description of vertex-transitive graphs. The classification of the finite simple groups has played an important role in this respect.
Graph Symmetry
Language: en
Pages: 418
Authors: Gena Hahn, Gert Sabidussi
Categories: Mathematics
Type: BOOK - Published: 2013-03-14 - Publisher: Springer Science & Business Media

The last decade has seen two parallel developments, one in computer science, the other in mathematics, both dealing with the same kind of combinatorial structures: networks with strong symmetry properties or, in graph-theoretical language, vertex-transitive graphs, in particular their prototypical examples, Cayley graphs. In the design of large interconnection networks
Isomorphisms, Symmetry and Computations in Algebraic Graph Theory
Language: en
Pages: 234
Authors: Gareth A. Jones, Ilia Ponomarenko, Jozef Širáň
Categories: Mathematics
Type: BOOK - Published: 2020-01-10 - Publisher: Springer Nature

This book consists of a selection of peer-reviewed contributions to the Workshop on Algebraic Graph Theory that took place in Pilsen, Czech Republic in October 2016. Primarily intended for early career researchers, it presents eight self-contained articles on a selection of topics within algebraic combinatorics, ranging from association schemes to
Optimal Analysis of Structures by Concepts of Symmetry and Regularity
Language: en
Pages: 463
Authors: Ali Kaveh
Categories: Science
Type: BOOK - Published: 2013-05-16 - Publisher: Springer Science & Business Media

Optimal analysis is defined as an analysis that creates and uses sparse, well-structured and well-conditioned matrices. The focus is on efficient methods for eigensolution of matrices involved in static, dynamic and stability analyses of symmetric and regular structures, or those general structures containing such components. Powerful tools are also developed
Symmetry in Crystallography
Language: en
Pages: 126
Authors: Paolo Radaelli
Categories: Mathematics
Type: BOOK - Published: 2011-09-22 - Publisher: Oxford University Press

A fresh approach to teaching crystallographic symmetry. Rather than being swamped by heavy algebraic notation, the reader is taken through a series of simple and beautiful examples from the visual arts, and taught how to analyse them employing the 'pictorial' diagrams used in the International Tables of Crystallography.
Discrete Mathematics and Symmetry
Language: en
Pages: 458
Authors: Angel Garrido
Categories: Mathematics
Type: BOOK - Published: 2020-03-05 - Publisher: MDPI

Some of the most beautiful studies in Mathematics are related to Symmetry and Geometry. For this reason, we select here some contributions about such aspects and Discrete Geometry. As we know, Symmetry in a system means invariance of its elements under conditions of transformations. When we consider network structures, symmetry