| 中文摘要 | 第4-6页 |
| Abstract | 第6-7页 |
| Chapter 1 Introduction | 第8-12页 |
| 1.1 Definitions and Terminologies | 第8-9页 |
| 1.2 Introductions on Factors of Graphs | 第9-10页 |
| 1.3 Introductions on Fractional Factors of Graphs | 第10-12页 |
| Chapter 2 Toughness Conditions for the Existence of Fractional ID-κ-factor-critical Graphs | 第12-17页 |
| 2.1 Toughness Conditions for the Existence of Fractional ID-κ-factor-critical Graphs | 第12-17页 |
| Chapter 3 Independent Number Conditions for the Existence of Fractional ID-[a,b]-factor-critical Graphs and(g,f)-factors | 第17-26页 |
| 3.1 Independent Number Conditions for the Existence of Fractional ID-[a,b]-factor-critical Graphs | 第17-21页 |
| 3.2 Minimum Degree Conditions for the Existence of(g,f)-factors | 第21-26页 |
| Chapter 4 Neighbourhood Conditions for the Existence of Fractional ID-[a,b]-factor-critical Graphs | 第26-38页 |
| 4.1 Neighbourhood Conditions for the Existence of Fractional ID-[a,b]-factor-critical Graphs | 第26-38页 |
| Bibliography | 第38-42页 |
| Publications and Finished Papers | 第42-43页 |
| Acknowledgements | 第43-44页 |
