| Acknowledgement and Notions | 第1-5页 |
| Abstract in Chinese | 第5-6页 |
| Abstract in English | 第6-7页 |
| 1 Survey | 第7-13页 |
| ·Introduction and Notations | 第8-10页 |
| ·Concepts and Terminology | 第10-12页 |
| ·Some Results on Induced Matching | 第12-13页 |
| 2 Main results | 第13-31页 |
| ·Induced matching number of the plane grid graph | 第14-20页 |
| ·IM(G(?)K_2)=β(G) | 第20-22页 |
| ·The strong chromatic index of a graph G, with Δ(G) ≤ 3, where its 3-degree vertices are independent | 第22-24页 |
| ·The strong chromatic index of 3-regular induced matching extendable graph | 第24-30页 |
| ·An example of an open problem | 第30-31页 |
| 3 Conclusions | 第31-32页 |
| References | 第32-33页 |
