| Chinese Abstract | 第1-13页 |
| English Abstract | 第13-19页 |
| Symbols | 第19-21页 |
| Chapter 1 Some Advances on Tree Graphs and Matroid Base Graphs | 第21-33页 |
| 1．1 Basic Definitions and Notations | 第21-24页 |
| 1．2 Tree Graphs and Related Graphs | 第24-27页 |
| 1．3 Matroid Base Graphs | 第27-29页 |
| 1．4 Chromatic Numbers and Fractional Arboricities | 第29-33页 |
| Chapter 2 The E_2-Hamiltonian Properties of Matroid Base Graphs | 第33-51页 |
| 2．1 Introduction | 第33-34页 |
| 2．2 Preliminary Results | 第34-36页 |
| 2．3 The E_2-Hamiltonian Properties of Matroid Base Graphs | 第36-50页 |
| 2．4 Unsolved Problems and Conjectures | 第50-51页 |
| Chapter 3 The Base Incidence Graph of a Matroid | 第51-62页 |
| 3．1 The Base Incidence Graph of a Matroid | 第51-53页 |
| 3．2 The Connectivities of Base Incidence Graphs | 第53-57页 |
| 3．3 The Diameter of The Base Incidency Graph of A Matroid | 第57-58页 |
| 3．4 Matchings of the base incidence graph of a matroid | 第58-61页 |
| 3．5 Unsolved Problems and Conjectures | 第61-62页 |
| Chapter 4 Paths and Cycles in Matroid Base Graphs | 第62-70页 |
| 4．1 Preliminary Results | 第62-65页 |
| 4．2 Paths and Cycles in Matroid Base Graphs | 第65-69页 |
| 4．3 Unsolved Problems and Conjectures | 第69-70页 |
| Chapter 5 The Connectivities of the Adjacency Leaf Exchange Forest Graphs | 第70-82页 |
| 5．1 Intruduction | 第70-73页 |
| 5．2 Preliminary Results | 第73-75页 |
| 5．3 The Connectivities of the Adjacency Leaf Exchange Forest Graphs | 第75-78页 |
| 5．4 Chromatic Numbers of Matroid Base Graphs and Other Related Graphs | 第78-80页 |
| 5．5 Unsolved Problems and Conjectures | 第80-82页 |
| Chapter 6 Fractional Arboricities of Graphs | 第82-90页 |
| 6．1 Preliminary Results | 第82-85页 |
| 6．2 Matroid Methods and ω-Arboricity | 第85-87页 |
| 6．3 Matroid Methods and Fractional ω-Arboricity | 第87-89页 |
| 6．4 Unsolved Problems and Conjectures | 第89-90页 |
| References | 第90-94页 |
| Acknowledgement | 第94-95页 |
| Curriculum Vitae | 第95-97页 |
| 学位论文评阅及答辩情况表 | 第97页 |
