TY - BOOK AU - Berkolaiko, Gregory AU - Berkolaiko, Gregory AU - Kuchment, Peter TI - Introduction to Quantum Graphs T2 - Mathematical surveys and monographs, no. 186 SN - 9781470425999 U1 - 530.1201 BER PY - 2013/// CY - Island PB - : American Mathematical Society KW - Physics KW - 530 Physics KW - Boundary value problems KW - Combinatorics -- Graph theory -- Graphs and linear algebra (matrices, eigenvalues, etc.) KW - Ordinary differential equations -- Boundary value problems -- Boundary value problems on graphs and networks KW - Partial differential equations -- Spectral theory and eigenvalue problems -- Spectral theory and eigenvalue problems N1 - 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 ER -