Topics in Algebraic Graph Theory
Part of Encyclopedia of Mathematics and its Applications
 Editors:
 Lowell W. Beineke, Indiana University
 Robin J. Wilson, The Open University, Milton Keynes
 Peter J. Cameron, University of London
 Date Published: January 2005
 availability: Available
 format: Hardback
 isbn: 9780521801973
Hardback
Other available formats:
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The rapidly expanding area of algebraic graph theory uses two different branches of algebra to explore various aspects of graph theory: linear algebra (for spectral theory) and group theory (for studying graph symmetry). These areas have links with other areas of mathematics, such as logic and harmonic analysis, and are increasingly being used in such areas as computer networks where symmetry is an important feature. Other books cover portions of this material, but this book is unusual in covering both of these aspects and there are no other books with such a wide scope. Peter J. Cameron, internationally recognized for his substantial contributions to the area, served as academic consultant for this volume, and the result is ten expository chapters written by acknowledged international experts in the field. Their wellwritten contributions have been carefully edited to enhance readability and to standardize the chapter structure, terminology and notation throughout the book. To help the reader, there is an extensive introductory chapter that covers the basic background material in graph theory, linear algebra and group theory. Each chapter concludes with an extensive list of references.
Read more Good and timely coverage of the rapidly expanding area of algebraic graph theory written by world leaders in the field
 Covers the two main parts of the subject: linear algebra and group theory
 Extensive introductory chapter to introduce background material
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×Product details
 Date Published: January 2005
 format: Hardback
 isbn: 9780521801973
 length: 294 pages
 dimensions: 238 x 162 x 23 mm
 weight: 0.54kg
 contains: 37 b/w illus. 8 tables
 availability: Available
Table of Contents
Foreword Peter J. Cameron
Introduction
1. Eigenvalues of graphs Michael Doob
2. Graphs and matrices Richard A. Brualdi and Bryan L. Shader
3. Spectral graph theory Dragos Cvetkovic and Peter Rowlinson
4. Graph Laplacians Bojan Mohar
5. Automorphism groups Peter J. Cameron
6. Cayley graphs Brian Alspach
7. Finite symmetric graphs Cheryle E. Praeger
8. Strongly regular graphs Peter J. Cameron
9. Distancetransitive graphs Arjeh M. Cohen
10. Computing with graphs and groups Leonard H. Soicher.
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