Nodal domains on isospectral quantum graphs: the resolution of isospectrality?
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Publication:3419352
DOI10.1088/0305-4470/39/45/009zbMath1111.58027arXivnlin/0608031OpenAlexW3100860038MaRDI QIDQ3419352
Uzy Smilansky, Ram Band, Talia Shapira
Publication date: 6 February 2007
Published in: Journal of Physics A: Mathematical and General (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/nlin/0608031
Related Items (15)
Isospectral discrete and quantum graphs with the same flip counts and nodal counts ⋮ Concrete method for recovering the Euler characteristic of quantum graphs ⋮ Linear representations and isospectrality with boundary conditions ⋮ On the quotient quantum graph with respect to the regular representation ⋮ Nodal statistics on quantum graphs ⋮ Torsional rigidity, isospectrality and quantum graphs ⋮ Dynamics of nodal points and the nodal count on a family of quantum graphs ⋮ The number of nodal domains on quantum graphs as a stability index of graph partitions ⋮ An elementary introduction to quantum graphs ⋮ On the nodal count for flat tori ⋮ Neumann domains on quantum graphs ⋮ A lower bound for nodal count on discrete and metric graphs ⋮ Quasi-isospectrality on quantum graphs ⋮ The \(L^2\)-strong maximum principle on arbitrary countable networks ⋮ Quantum graphs via exercises
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