| 中文摘要 | 第5-6页 |
| Abstract | 第6-7页 |
| Chapter 1 Introduction | 第11-17页 |
| 1.1 Historical background and literature review | 第11-13页 |
| 1.2 Motivations | 第13-14页 |
| 1.3 Main results | 第14-17页 |
| Chapter 2 Preliminaries | 第17-27页 |
| 2.1 Basic properties of fractals | 第17-22页 |
| 2.2 Fractal interpolation | 第22-24页 |
| 2.3 Fractal networks | 第24-27页 |
| 2.3.1 Basic concepts of fractal networks | 第24-26页 |
| 2.3.2 Fractal Koch networks | 第26-27页 |
| Chapter 3 Fractal interpolation surface under contractive IFS | 第27-42页 |
| 3.1 Fractal Interpolation Surface (FIS)problem | 第27-30页 |
| 3.2 Fractal Interpolation Surface as fixed points of operators | 第30-35页 |
| 3.3 The metric space ([a,b]~2×R,d_q) | 第35-37页 |
| 3.4 Fractal interpolation surface as attractors of IFSs | 第37-42页 |
| Chapter 4 Fractal Koch networks under contraction factor t | 第42-76页 |
| 4.1 Homogeneous weighted fractal Koch networks created by RDM for s-caling factor t | 第43-50页 |
| 4.2 Average homogeneous weighted receiving time for scaling factor t | 第50-75页 |
| 4.2.1 Recursive formula T_(tot)(k) for scaling factor t | 第53-61页 |
| 4.2.2 Recursive formulas T'(n),T(n) and T_(tot)(k) for scaling factor t | 第61-65页 |
| 4.2.3 Recursive formulas T_i(n),i=1,2,3 and T_(tot)(k) for scaling factor t | 第65-75页 |
| 4.3 The formula_ k for scaling factor t | 第75-76页 |
| Chapter 5 Fractal Koch networks under contraction factors r, s | 第76-102页 |
| 5.1 Non-homogeneous weighted fractal Koch networks created by RDMfor scaling factors r,s | 第76-79页 |
| 5.2 Average non-homogeneous weighted receiving time for scaling factorsr,s | 第79-100页 |
| 5.2.1 Recursive formulas T'(n),T(n) and T_(tot)(k) for scaling factors r,s | 第81-90页 |
| 5.2.2 Recursive formulas Ti(n),i=1,2,3 and T_(tot)(k) for scaling factorsr,s | 第90-100页 |
| 5.3 The formula_k for scaling factor r,s | 第100-102页 |
| Chapter 6 Fractal Koch networks under contraction factors t, r,s | 第102-124页 |
| 6.1 Non-homogeneous weighted fractal Koch networks created by RDMfor different scaling factors t, r, s | 第103-106页 |
| 6.2 Average Non-homogeneous weighted receiving time for different scal-ing factors t, r,s | 第106-121页 |
| 6.2.1 Recursive formulas T'(n),T(n) and T_(tot)(k) for scaling factors t, r,s | 第108-115页 |
| 6.2.2 Recursive formulas T_i(k),i=1,2,3 for different scaling factors t, r,s | 第115-121页 |
| 6.3 The formula_k for scaling factor t, r,s | 第121-124页 |
| 7 Conclusion and expectations | 第124-128页 |
| References | 第128-135页 |
| Acknowledgments | 第135-137页 |
| Vitae and resume | 第137-138页 |
