D-bounded Distance-regular Graphs
Author | : Chih-wen Weng |
Publisher | : |
Total Pages | : 222 |
Release | : 1995 |
Genre | : |
ISBN | : |
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Author | : Chih-wen Weng |
Publisher | : |
Total Pages | : 222 |
Release | : 1995 |
Genre | : |
ISBN | : |
Author | : Andries E. Brouwer |
Publisher | : Springer Science & Business Media |
Total Pages | : 513 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642743412 |
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 | : Zoran Stanić |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 247 |
Release | : 2017-04-24 |
Genre | : Mathematics |
ISBN | : 311035134X |
Written for mathematicians working with the theory of graph spectra, this (primarily theoretical) book presents relevant results considering the spectral properties of regular graphs. The book begins with a short introduction including necessary terminology and notation. The author then proceeds with basic properties, specific subclasses of regular graphs (like distance-regular graphs, strongly regular graphs, various designs or expanders) and determining particular regular graphs. Each chapter contains detailed proofs, discussions, comparisons, examples, exercises and also indicates possible applications. Finally, the author also includes some conjectures and open problems to promote further research. Contents Spectral properties Particular types of regular graph Determinations of regular graphs Expanders Distance matrix of regular graphs
Author | : C. D. (Christopher David) Godsil |
Publisher | : |
Total Pages | : 12 |
Release | : 1987 |
Genre | : Graph theory |
ISBN | : |
Author | : Michael S. Lang |
Publisher | : |
Total Pages | : 94 |
Release | : 2001 |
Genre | : |
ISBN | : |
Author | : Benjamin V. C. Collins |
Publisher | : |
Total Pages | : 206 |
Release | : 1996 |
Genre | : |
ISBN | : |
Author | : Alexander A. Ivanov |
Publisher | : Cambridge University Press |
Total Pages | : 583 |
Release | : 2023-08-17 |
Genre | : Mathematics |
ISBN | : 1009338048 |
The current state of knowledge on the Monster group, including Majorana theory, Vertex Operator Algebras, Moonshine and maximal subgroups.
Author | : Eiichi Bannai |
Publisher | : Walter de Gruyter GmbH & Co KG |
Total Pages | : 303 |
Release | : 2021-02-22 |
Genre | : Mathematics |
ISBN | : 3110627736 |
This series is devoted to the publication of high-level monographs which cover the whole spectrum of current discrete mathematics and its applications in various fields. One of its main objectives is to make available to the professional community expositions of results and foundations of methods that play an important role in both the theory and applications of discrete mathematics. Contributions which are on the borderline of discrete mathematics and related fields and which stimulate further research at the crossroads of these areas are particularly welcome.
Author | : Mark Spruill MacLean |
Publisher | : |
Total Pages | : 106 |
Release | : 2001 |
Genre | : |
ISBN | : |
Author | : Fred Buckley |
Publisher | : Addison Wesley Publishing Company |
Total Pages | : 362 |
Release | : 1990-01-21 |
Genre | : Mathematics |
ISBN | : |