| Chinese Abstract | 第1-12页 |
| English Abstract | 第12-17页 |
| Symbols | 第17-19页 |
| Chapter 1 Introduction | 第19-34页 |
| ·Basic Definitions and Notations | 第19-21页 |
| ·The History and Some Progress of Edge Coloring | 第21-31页 |
| ·The edge cover coloring of graphs | 第21-25页 |
| ·The f-edge cover coloring of graphs | 第25-26页 |
| ·The fractional edge cover coloring of graphs | 第26-29页 |
| ·The fractional edge coloring of graphs | 第29-31页 |
| ·Outline and Main Results | 第31-34页 |
| Chapter 2 The Edge Cover Coloring of Graphs | 第34-49页 |
| ·Introduction | 第34-37页 |
| ·The Edge Cover Coloring of Nearly Bipartite Graphs | 第37-42页 |
| ·Constructions for Edge Covered Critical Graphs | 第42-47页 |
| ·Unsolved Problems on Edge Cover Coloring | 第47-49页 |
| Chapter 3 The f-edge Cover Coloring of Graphs | 第49-67页 |
| ·Introduction | 第49-53页 |
| ·The f-edge Cover Coloring of Complete Graphs | 第53-56页 |
| ·The Properties of f-edge Cover Critical Graphs | 第56-66页 |
| ·Related Problems on f-edge Cover Coloring of Graphs | 第66-67页 |
| Chapter 4 The Fractional Edge Cover Coloring of Graphs | 第67-78页 |
| ·Introduction | 第67-70页 |
| ·Our Main Results on Fractional Edge Cover Coloring of Graphs | 第70-74页 |
| ·The Conjectures and Discussions Fractional Edge Cover Coloring | 第74-78页 |
| Chapter 5 The Fractional Edge Coloring of Graphs | 第78-87页 |
| ·Definitions and Preliminary Results | 第78-80页 |
| ·Our Main Results on Fractional Edge Coloring of Graphs | 第80-86页 |
| ·Unsolved Problems and Conjectures | 第86-87页 |
| References | 第87-91页 |
| Acknowledgement | 第91-92页 |
| Curriculum Vitae | 第92-94页 |
| 学位论文评阅及答辩情况表 | 第94页 |