| Abstract(in chinese) | 第1-9页 |
| Abstract | 第9-14页 |
| 1 Introduction | 第14-40页 |
| ·Definitions and terminologies | 第14-16页 |
| ·Graph theory and chemical indices | 第16-22页 |
| ·Randi(?) index and its application | 第22-26页 |
| ·The overview of Randi(?) index | 第26-40页 |
| 2 Trees with Minimum General Randi(C) Index | 第40-56页 |
| ·Introduction | 第40-41页 |
| ·The case for α＞0 | 第41-44页 |
| ·The cases for α＜0 | 第44-49页 |
| ·Trees with second and third minimum general Randi(?) index | 第49-56页 |
| 3 Maximum Value of R_(-1) for Trees of Given Order | 第56-78页 |
| ·Introduction | 第56-59页 |
| ·A property of Max Trees for α≤-1 | 第59-61页 |
| ·The structure of a Max Tree of order n≤102 | 第61-73页 |
| ·Maximum value and maximum tree for R_(-1) of trees of order n≤102 | 第73-78页 |
| 4 The Best Upper Bound of R_(-1) for Trees | 第78-94页 |
| ·Two unsolved questions | 第78-82页 |
| ·Solution to Question 1-an upper bound and the ratio K | 第82-91页 |
| ·Solution to Question 2-sharpness of our upper bound | 第91-94页 |
| 5 Connected Graphs with Extremal Zeroth-Order General Randi(?) Index | 第94-112页 |
| ·Introduction | 第94-95页 |
| ·Definitions and notations | 第95-97页 |
| ·Extremal (n, m)-graphs | 第97-100页 |
| ·Proof of Theorem 5.4 | 第100-111页 |
| ·Concluding remarks | 第111-112页 |
| Acknowledge | 第112-114页 |
| Biblography | 第114-122页 |
| Resume | 第122页 |
