Introduction to quantum graphs / Gregory Berkolaiko, Peter Kuchment.
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Table of Contents:
- Operators on graphs : quantum graphs
- Quantum graph operators : special topics
- Spectra of quantum graphs
- Spectra of periodic graphs
- Spectra of quantum graphs : special topics
- Quantum chaos on graphs
- 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.