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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/10.1090/surv/186
MathSciNet review: 3013208
MSC: Primary 81Q35; Secondary 05C90, 31C20, 34B24, 34B45, 81Q50
Table of Contents
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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