-
圖論
（2008年世界圖書出版公司北京公司出版的圖書）
鎖定
- 中文名
- 圖論
- 作 者
- （德）迪斯特爾（Diestel）
- 出版社
- 世界圖書出版公司北京公司
- ISBN
- 9787506291859
- 定 價
- 103.2 元
目錄
- 1 圖書目錄
圖論圖書目錄
Preface
1 The Basics
1.1 Graphs
1.2 The degree of a vertex
1.3 Paths and cycles
1.4 Connectivity
1.5 Trees and forests
1.6 Bipartite graphs
1.7 Contraction and minors
1.8 Euler tours
1.9 Some linear algebra
1.10 Other notions of graphs
Exercises
Notes
2 Matching， Covering and Packing
2.1 Matching in bipartite graphs
2.2 Matching in general graphs
2.3 Packing and covering
2.4 Tree-packing and arboricity
2.5 Path covers
Exercises
Notes
3 Connectivity
3.1 2-Connected graphs and subgraphs..
3.2 The structure of 3-connected graphs
3.3 Mengers theorem
3.4 Maders theorem
3.5 Linking pairs of vertices
Exercises
Notes
4 Planar Gr
aphs
4.1 Topological prerequisites
4.2 Plane graphs
4.3 Drawings
4.4 Planar graphs： Kuratowskis theorem.
4.5 Algebraic planarity criteria
4.6 Plane duality
Exercises
Notes
5 Colouring
5.1 Colouring maps and planar graphs
5.2 Colouring vertices
5.3 Colouring edges
5.4 List colouring
5.5 Perfect graphs
Exercises
Notes
6 Flows
6.1 Circulations
6.2 Flows in networks
6.3 Group-valued flows
6.4 k-Flows for small k
6.5 Flow-colouring duality
6.6 Tuttes flow conjectures
Exercises
Notes
7 Extremal Graph Theory
8 Infinite Graphs
9 Ramsey Theory for Graphs
10 Hamilton Cycles
11 Random Grapnhs
