| Abstract | 第9页 |
| 摘要 | 第10-11页 |
| Chapter 1 Researching Background and Preliminary | 第11-17页 |
| Chapter 2 Several Typical Kinds of Networks and Their Basic Param-eters | 第17-35页 |
| 2.1 Construction of CEGN models | 第17-22页 |
| 2.1.1 Algorithms for finding MLS-trees | 第19-22页 |
| 2.2 Construction of SBEGN models | 第22-26页 |
| 2.2.1 The hierarchy of the SBEGN model | 第23-24页 |
| 2.2.2 The spanning trees of an SBEGN model | 第24-26页 |
| 2.3 Edge-bound growing network models with graphs having l vertices andq edges | 第26-35页 |
| 2.3.1 The hierarchy of the E-BGN model | 第29-31页 |
| 2.3.2 Small-world behavior of an E-BNG model | 第31-32页 |
| 2.3.3 The spanning trees of an E-BGN model | 第32-35页 |
| Chapter 3 Degree Distribution of MLS-trees of Several Networks Mod-els | 第35-41页 |
| 3.1 Three Mathematical Methods For Determining Degree Distribution | 第35-36页 |
| 3.2 The Degree Distribution of MLS-trees of CEGN model | 第36-37页 |
| 3.3 The Degree Distribution of MLS-trees of SBEGN model | 第37-38页 |
| 3.4 The Degree Distributions of MLS-trees of E-BGN model | 第38-41页 |
| Chapter 4 Graph Operations Between Scale-free Network Models | 第41-59页 |
| 4.1 The Join Operation of Scale-free Networks/Graphs | 第41-52页 |
| 4.1.1 Basic properties of the join networks | 第41-43页 |
| 4.1.2 Properties of domi-join models | 第43-44页 |
| 4.1.3 Two models | 第44-47页 |
| 4.1.4 Every domi-join model is hierarchical | 第47-49页 |
| 4.1.5 Distribution | 第49-52页 |
| 4.2 The Cartesian Product of Scale-free Networks | 第52-59页 |
| 4.2.1 Basic properties of cartesian product networks | 第52-53页 |
| 4.2.2 Two models | 第53-55页 |
| 4.2.3 Distribution properties of cartesian product networks | 第55-59页 |
| Chapter 5 New Methods For Degree Distribution of Network Models | 第59-69页 |
| 5.1 Three Typical Models | 第59-61页 |
| 5.2 Mixed cumulative degree distributions | 第61-69页 |
| 5.2.1 Recursive graphs | 第62-63页 |
| 5.2.2 Sierpinski network model | 第63-65页 |
| 5.2.3 Apollonian network | 第65-69页 |
| Chapter 6 Connections Between Several Distributions of Scale-freeNetworks | 第69-75页 |
| 6.1 The equivalence of two cumulative distributions | 第69-75页 |
| 6.1.1 Recursive graphs K(q,t) | 第70-71页 |
| 6.1.2 Sierpinski network model | 第71-73页 |
| 6.1.3 Apollonian network | 第73-75页 |
| Chapter 7 Conclusion | 第75-79页 |
| References | 第79-83页 |
| Appendix 1 Published and Submitted Papers During Graduate StudyPeriod | 第83-87页 |
| Appendix 2 Rewards and Main Academic Activities During GraduateStudy Period | 第87-89页 |
| Appendix 3 Acknowledgements | 第89-91页 |
| 致谢 | 第91页 |
