Synopses & Reviews
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). Whereas other books cover portions of this material, this book covers both of these aspects. Internationally recognized for his substantial contributions to the area, Peter J. Cameron served as academic consultant for this volume, and the result is ten expository chapters written by acknowledged international experts in the field.
Review
"...highly suitable for an advanced course or seminar series, but should also serve as a useful resource for mathematicians who need to find out about one or more of the topics presented, and it complements other recent texts on a subject of increasing interests and significance." -Mathematical Reviews, Marston Conder
Synopsis
There is no other book with such a wide scope of both areas of algebraic graph theory.
About the Author
Lowell W. Beineke is Schrey Professor of Mathematics at Indiana University-Purdue University Fort Wayne. His graph theory interests include topological graph theory, line graphs, tournaments, decompositions and vulnerability. With Robin J. Wilson he has edited Selected Topics in Graph Theory (3 volumes), Applications of Graph Theory and Graph Connections. He is currently Editor of College Mathematical Journal.Robin J. Wilson is Head of the Pure Mathematics Department at the Open University. He has written and edited many books on graph theory and combinatorics and on the history of mathematics, including Introduction to Graph Theory and Four Colours Suffice. His interests include graph coloring, spectral graph theory and the history of graph theory and combinatorics.
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. Distance-transitive graphs Arjeh M. Cohen; 10. Computing with graphs and groups Leonard H. Soicher.