| Abstract | 第9页 |
| 摘要 | 第10-11页 |
| Chapter 1 Preliminary | 第11-17页 |
| Chapter 2 Four Kinds of Networks and Their Basic Parameters | 第17-32页 |
| 2.1 Construction of UBGN-models | 第17-19页 |
| 2.2 Construction of r-UBGN-models | 第19-21页 |
| 2.3 Growing Network Models with Partially Rewiring Effect | 第21-30页 |
| 2.3.1 Self-growing Models Having Partially Rewired Edges | 第22-23页 |
| 2.3.2 Dependent-growing Randomized Models | 第23-26页 |
| 2.3.3 Power-law Distribution of The Dependent-growing Randomized Models | 第26-30页 |
| 2.4 VBGN Networks | 第30-32页 |
| Chapter 3 Distribution Property of Networks | 第32-47页 |
| 3.1 Construction of r-UBGN-models | 第32-44页 |
| 3.1.1 Degree Spectrum | 第32-35页 |
| 3.1.2 Degree Distribution | 第35-37页 |
| 3.1.3 Clustering Distribution | 第37-38页 |
| 3.1.4 Diameter | 第38-40页 |
| 3.1.5 Two Estimating Methods | 第40-44页 |
| 3.2 VBGN Networks | 第44-47页 |
| 3.2.1 Degree Spectrum | 第44-45页 |
| 3.2.2 S=1 | 第45-47页 |
| Chapter 4 Balance Sets in Scale-Free Networks(Graphs) and T~M(t) | 第47-61页 |
| 4.1 On Balanced Sets in Scale-free Networks/Graphs | 第47-52页 |
| 4.2 Spanning Trees of UBGN-models | 第52-61页 |
| 4.2.1 Basic Properties of Spanning Trees | 第52-57页 |
| 4.2.2 Distribution Properties of TM(t) | 第57-59页 |
| 4.2.3 Balance Sets in UBGN Model | 第59-61页 |
| Chapter 5 Conclusion | 第61-63页 |
| References | 第63-66页 |
| Appendix 1 Published and Submitted Papers During Graduate Study Period | 第66-68页 |
| Appendix 2 Reward and Main Academic Activities During Graduate Study Period | 第68-69页 |
| Appendix 3 Acknowledgements | 第69-70页 |
| 致谢 | 第70页 |
