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Topics in Algebraic Graph Theory

Topics in Algebraic Graph Theory

Hardcover

Series: Encyclopedia of Mathematics and Its Applications, Book 102

General Mathematics

ISBN10: 0521801974
ISBN13: 9780521801973
Publisher: Cambridge University Press
Published: Oct 4 2004
Pages: 294
Weight: 1.19
Height: 0.92 Width: 6.39 Depth: 9.37
Language: English
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.

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General Mathematics