Algebraic Graph Theory / Edition 1

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Overview

"The authors take an inclusive view of the subject and present a broad selection of topics. These range from standard classics, such as the characterization of line graphs by eigenvalues, to more unusual areas, such as geometric embeddings of graphs and the study of graph homomorphisms. The authors' goal has been to develop each topic in a self-contained fashion, presenting the main tools and ideas, with an emphasis on their use in understanding concrete examples. A substantial proportion of the book covers topics that have not appeared in book form before, and as such it provides an accessible introduction to the research literature and to important open question in modern algebraic graph theory." "This book is primarily aimed at graduate students and researchers in graph theory, combinatories, or discrete mathematics in general. However, all the necessary graph theory is developed from scratch, so the only prerequisite is a first course in linear algebra and a small amount of elementary group theory. Thus, it should also be accessible to motivated upper-level undergraduates."--BOOK JACKET.
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Editorial Reviews

From the Publisher
C. Godsil and G.F. Royle

Algebraic Graph Theory

"A welcome addition to the literature . . . beautifully written and wide-ranging in its coverage."—MATHEMATICAL REVIEWS

"An accessible introduction to the research literature and to important open questions in modern algebraic graph theory"—L'ENSEIGNEMENT MATHEMATIQUE

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Product Details

  • ISBN-13: 9780387952208
  • Publisher: Springer New York
  • Publication date: 4/20/2001
  • Series: Graduate Texts in Mathematics Series , #207
  • Edition description: 2001
  • Edition number: 1
  • Pages: 443
  • Product dimensions: 9.21 (w) x 6.14 (h) x 0.94 (d)

Table of Contents

Preface
1 Graphs 1
2 Groups 19
3 Transitive Graphs 33
4 Arc-Transitive Graphs 59
5 Generalized Polygons and Moore Graphs 77
6 Homomorphisms 103
7 Kneser Graphs 135
8 Matrix Theory 163
9 Interlacing 193
10 Strongly Regular Graphs 217
11 Two-Graphs 249
12 Line Graphs and Eigenvalues 265
13 The Laplacian of a Graph 279
14 Cuts and Flows 307
15 The Rank Polynomial 341
16 Knots 373
17 Knots and Eulerian Cycles 395
Glossary of Symbols 427
Index 433
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