# Introduction to Quantum Graphs

### About this Title

**Gregory Berkolaiko**, *Texas A&M University, College Station, TX* and **Peter Kuchment**, *Texas A&M University, College Station, TX*

Publication: Mathematical Surveys and Monographs

Publication Year:
2013; Volume 186

ISBNs: 978-0-8218-9211-4 (print); 978-0-8218-9455-2 (online)

DOI: https://doi.org/http://dx.doi.org/10.1090/surv/186

MathSciNet review: 3013208

MSC: Primary 81Q35; Secondary 05C90, 31C20, 34B24, 34B45, 81Q50

### Table of Contents

**Front/Back Matter**

**Chapters**

- 1. Operators on graphs. Quantum graphs
- 2. Quantum graph operators. Special topics
- 3. Spectra of quantum graphs
- 4. Spectra of periodic graphs
- 5. Spectra of quantum graphs. Special topics
- 6. Quantum chaos on graphs
- 7. Some applications and generalizations
- Appendix A. Some notions of graph theory
- Appendix B. Linear operators and operator-functions
- Appendix C. Structure of spectra
- Appendix D. Symplectic geometry and extension theory