內容簡介

Many authors begin their preface by confidently describing how their book arose. We started this project so long ago, and our memories are so weak, that we could not do this truthfully. Others begin by stating why they decided to write. Thanks to Freud, we know that unconscious reasons can be as important as conscious ones, and so this seems impossible, too. Moreover, the real question that should be addressed is why the reader should struggle with this text.
 

目錄

Preface
1 Graphs
1.1 Graphs
1.2 Subgraphs
1.3 Automorphisms
1.4 Homomorphisms
1.5 Circulant Graphs
1.6 Johnson Graphs
1.7 Line Graphs
1.8 Planar Graphs
Exercises
Notes
References

2 Groups
2.1 Permutation Groups
2.2 Counting
2.3 Asymmetric Graphs
2.4 Orbits on Pairs
2.5 Primitivity
2.6 Primitivity and Connectivity
Exercises
Notes
References

3 Transitive Graphs
4 Arc-Transitive Graphs
5 Generalized Polygons and Moore Graphs
6 Homomorphisms
7 Kneser Graphs
8 Matrix Theory
9 Interlacing
10 Strongly Regular Graphs
11 Two-Graphs
12 Line Graphs and Eigenvalues
13 The Laplacian of a Graph
14 Cuts and Flows
15 The Rank Polynomial
16 Konts
17 Knots and Eulerial Cycles
Glossary of Symbols
Index
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