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Encyclopedia of Mathematics and its Applications Topics in Algebraic Graph Theory

by Lowell W. (Indiana University) Beineke

Encyclopedia of Mathematics and its Applications Topics in Algebraic Graph Theory Synopsis

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 well-written 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.

Encyclopedia of Mathematics and its Applications Topics in Algebraic Graph Theory Press Reviews

...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

Book Information

ISBN: 9780521801973
Publication date: 4th October 2004
Author: Lowell W. (Indiana University) Beineke
Publisher: Cambridge University Press
Format: Hardback
Pagination: 294 pages
Categories: Combinatorics & graph theory,

About Lowell W. (Indiana University) Beineke

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 ...

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