A Brief Introduction to Spectral Graph Theory
Bogdan Nica
McGill University, Montreal, Canada
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| FrontmatterDownload pp. i–v | |
| ContentsDownload pp. vii–viii | |
| IntroductionDownload p. 1 | |
| 1 | Graphspp. 3–10 |
| 2 | Invariantspp. 11–18 |
| 3 | Regular graphspp. 19–30 |
| 4 | Finite fieldspp. 31–38 |
| 5 | Squares in finite fieldspp. 39–50 |
| 6 | Characterspp. 51–61 |
| 7 | Eigenvalues of graphspp. 63–71 |
| 8 | Eigenvalue computationspp. 73–83 |
| 9 | Largest eigenvaluespp. 85–101 |
| 10 | More eigenvaluespp. 103–112 |
| 11 | Spectral boundspp. 113–126 |
| 12 | Farewellpp. 127–134 |
| Further readingpp. 135–136 | |
| Solutions to exercisespp. 137–156 | |
| Indexp. 157 |