《ALGEBRAIC GRAPH THEORY SECOND EDITION》

作者 编者
出版 CAMBRIDGE UNIVERSITY PRESS
参考页数 205
出版时间 1993（求助前请核对）  目录预览
ISBN号 0521458978 — 求助条款
PDF编号 812639678（仅供预览，未存储实际文件）
求助格式 扫描PDF（若分多册发行，每次仅能受理1册）
ALGEBRAIC GRAPH THEORY SECOND EDITION 1993 PDF电子版封面 0521458978

1 Introduction1

part one - LINEAR ALGEBRA IN GRAPH THEORY7

2 The spectrum of a graph7

3 Regular graphs and line graphs14

4 Cycles and cuts23

5 Spanning trees and associated structures31

6 The tree-number38

7 Deteminant expansions44

8 Vertex-partitions and the spectrum52

part two COLOURING PROBLEMS63

9 The chromatic polynomial63

10 Subgraph expansions73

11 The multiplicative expansion81

12 The induced subgraph expansion89

13 The Tutte polynomial97

14 Chromatic polynomials and spanning trees106

part three - SYMMETRY AND REGULARITY115

15 Automorphisms of graphs115

16 Vertex-transitive graphs122

17 Symmetric graphs130

18 Symmetric graphs of degree three138

19 The covering-graph construction149

20 Distance-transitive graphs155

21 Feasibility of intersection arrays164

22 Imprimitivity173

23 Minimal regular graphs with given girth180

References191

Index202

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