| 摘要 | 第1-8页 |
| Abstract | 第8-10页 |
| Notations(常用符号) | 第10-12页 |
| List of figures(插图目录) | 第12-14页 |
| Chapter 1 Introduction | 第14-24页 |
| ·Research background and significance | 第14-15页 |
| ·Basic concepts and notations | 第15-18页 |
| ·Known results of graphs determined by their spectra | 第18-21页 |
| ·Graphs determined by their adjacency spectra | 第18-19页 |
| ·Graphs determined by their Laplacian spectra | 第19-21页 |
| ·Outline of the dissertation | 第21-24页 |
| Chapter 2 Basic Lemmas | 第24-28页 |
| Chapter 3 Spectral determination of trees | 第28-38页 |
| ·Adjacency cospectral double starlike graphs | 第29页 |
| ·All double starlike graphs determined by their Laplacian spectra | 第29-36页 |
| ·Preliminaries | 第29-31页 |
| ·Main results | 第31-36页 |
| ·Discussion and conclusion | 第36-38页 |
| Chapter 4 Spectral determination of unicyclic graphs | 第38-60页 |
| ·Octopus graphs determined by their Laplacian spectra | 第39-41页 |
| ·Cospectral unicyclic graphs | 第41-46页 |
| ·Graphs G_(n,q) and M_(n,g-1) are Laplacian cospectral mate | 第41-44页 |
| ·Graphs H_(n,q) and H_(n,q-1)~1 are adjacency cospectral mate | 第44-46页 |
| ·A class of unicyclic graphs determined by their Laplacian spectra | 第46-57页 |
| ·Preliminaries | 第47-48页 |
| ·Main results | 第48-57页 |
| ·Discussion and conclusion | 第57-60页 |
| Chapter 5 Spectral determination of bicyclic graphs | 第60-76页 |
| ·Sandglass graphs | 第60-67页 |
| ·Spectral characterizations of the sandglass graph | 第60-63页 |
| ·Sandglass graphs determined by their adjacency spectra | 第63-66页 |
| ·Sandglass graphs determined by their Laplacian spectra | 第66-67页 |
| ·Cospectral bicyclic graphs | 第67-68页 |
| ·A class of odd bicyclic graphs determined by their adjacency spectra | 第68-73页 |
| ·Preliminaries | 第69-70页 |
| ·Main results | 第70-73页 |
| ·Discussion and conclusion | 第73-76页 |
| Chapter 6 Conclusion | 第76-78页 |
| Bibliography(参考文献) | 第78-87页 |
| Acknowledgements(致谢) | 第87-88页 |
| 攻读博士学位期间发表和完成的学术论文目录 | 第88页 |
