| @article{HarrellKennedyRamos2026, |
| author = {Evans M. Harrell II and James B. Kennedy and Gabriel J. Ramos}, |
| title = {Bounds on eigenvalue ratios of quantum graph Laplacians}, |
| journal = {arXiv preprint arXiv:2603.26172}, |
| year = {2026}, |
| note = {Current manuscript date: 24 August 2026} |
| } |
|
|
| @article{BerkolaikoKennedyKurasovMugnolo2017, |
| author = {Gregory Berkolaiko and James B. Kennedy and Pavel Kurasov and Delio Mugnolo}, |
| title = {Edge connectivity and the spectral gap of combinatorial and quantum graphs}, |
| journal = {Journal of Physics A: Mathematical and Theoretical}, |
| volume = {50}, |
| pages = {365201}, |
| year = {2017} |
| } |
|
|
| @article{BerkolaikoKennedyKurasovMugnolo2019, |
| author = {Gregory Berkolaiko and James B. Kennedy and Pavel Kurasov and Delio Mugnolo}, |
| title = {Surgery principles for the spectral analysis of quantum graphs}, |
| journal = {Transactions of the American Mathematical Society}, |
| volume = {372}, |
| pages = {5153--5197}, |
| year = {2019} |
| } |
|
|
| @article{BerkolaikoLatushkinSukhtaiev2019, |
| author = {Gregory Berkolaiko and Yuri Latushkin and Selim Sukhtaiev}, |
| title = {Limits of quantum graph operators with shrinking edges}, |
| journal = {Advances in Mathematics}, |
| volume = {352}, |
| pages = {632--669}, |
| year = {2019} |
| } |
|
|
| @book{BerkolaikoKuchment2013, |
| author = {Gregory Berkolaiko and Peter Kuchment}, |
| title = {Introduction to Quantum Graphs}, |
| series = {Mathematical Surveys and Monographs}, |
| volume = {186}, |
| publisher = {American Mathematical Society}, |
| year = {2013} |
| } |
|
|
| @article{Friedlander2005, |
| author = {Leonid Friedlander}, |
| title = {Genericity of simple eigenvalues for a metric graph}, |
| journal = {Israel Journal of Mathematics}, |
| volume = {146}, |
| pages = {149--156}, |
| year = {2005} |
| } |
|
|
| @article{Nicaise1987, |
| author = {Serge Nicaise}, |
| title = {Spectre des reseaux topologiques finis}, |
| journal = {Bulletin des Sciences Mathematiques, IIe Serie}, |
| volume = {111}, |
| pages = {401--413}, |
| year = {1987} |
| } |
|
|
| @book{Kurasov2024, |
| author = {Pavel Kurasov}, |
| title = {Spectral Geometry of Graphs}, |
| series = {Operator Theory: Advances and Applications}, |
| volume = {293}, |
| publisher = {Birkhauser}, |
| year = {2024} |
| } |
|
|
