| Abstract | 第7-8页 |
| 摘要 | 第9-11页 |
| Chapter 1 Preliminary | 第11-17页 |
| 1.1 Notations and terminologies | 第11-13页 |
| 1.2 Graceful labellings of graphs | 第13-15页 |
| 1.2.1 A simple introduction to graceful labelling | 第13-14页 |
| 1.2.2 Definition of Graceful Labelling | 第14-15页 |
| 1.3 edge-magic total labellings and anti-edge-magic total labellings | 第15-17页 |
| 1.3.1 Background for edge-magic total labelling | 第15页 |
| 1.3.2 Definitions of edge-magic total labelling | 第15-16页 |
| 1.3.3 Definitions of Anti-edge-magic total labelling | 第16-17页 |
| Chapter 2 Results on Graceful Graphs | 第17-35页 |
| 2.1 Gracefulness of several classes of network models with kernels of com-plete graphs | 第17-22页 |
| 2.1.1 Particular graphs | 第17页 |
| 2.1.2 Some Results on graceful labelling | 第17-22页 |
| 2.2 Results on (k, d)-labellings of trees | 第22-35页 |
| 2.2.1 Definitions | 第22-23页 |
| 2.2.2 Relationship between (k, d)-graceful labellings and (k,d)-EMTLs | 第23-35页 |
| Chapter 3 Edge-magic Total Labellings of Graphs | 第35-59页 |
| 3.1 Edge-magic total labellings of compound split-trees | 第35-52页 |
| 3.1.1 Split-trees | 第35页 |
| 3.1.2 Some results on split-trees | 第35-40页 |
| 3.1.3 Some results of Compound Split-Trees | 第40-52页 |
| 3.2 Anti-edge-magic total labellings | 第52-59页 |
| Chapter 4 Generalized Edge-magic Total Labellings of Graphs | 第59-71页 |
| 4.1 Definition of Generalized Edge-magic Total Labellings | 第59-60页 |
| 4.2 Main results of GEMTLs | 第60-71页 |
| Chapter 5 Other Labellings and Problems | 第71-81页 |
| 5.1 Definitions of Vertex-magic Total labellings | 第71页 |
| 5.2 A Proof To A Conjecture On Sun-Graphs | 第71-75页 |
| 5.3 A Proof to Matchable Pairs | 第75-77页 |
| 5.4 A Conjecture to Decomposition of Labelled Graphs | 第77-81页 |
| References | 第81-87页 |
| Appendix 1 Published and Submitted Papers During Graduate Study Period | 第87-91页 |
| Appendix 2 Reward and Main Academic Activities During Graduate Study Period | 第91-93页 |
| Appendix 3 Acknowledgements | 第93-94页 |
| 致谢 | 第94页 |
