32 citations · 93 across the 5 of their papers we have counts for
5 papers
Note on the role of symmetry in scattering from isospectral graphs and drums
Ram Band, Adam Sawicki, Uzy Smilansky
We discuss scattering from pairs of isospectral quantum graphs constructed using the method described in [1, 2]. It was shown in [3] that scattering matrices of such graphs have th…
Isospectral graphs with identical nodal counts
Idan Oren, Ram Band
According to a recent conjecture, isospectral objects have different nodal count sequences. We study generalized Laplacians on discrete graphs, and use them to construct the first…
Scattering from isospectral quantum graphs
Ram Band, Adam Sawicki, Uzy Smilansky
Quantum graphs can be extended to scattering systems when they are connected by leads to infinity. It is shown that for certain extensions, the scattering matrices of isospectral g…
Nodal domains on graphs - How to count them and why?
Ram Band, Idan Oren, Uzy Smilansky
The purpose of the present manuscript is to collect known results and present some new ones relating to nodal domains on graphs, with special emphasize on nodal counts. Several met…
Nodal domains on isospectral quantum graphs: the resolution of isospectrality ?
Ram Band, Talia Shapira, Uzy Smilansky
We present and discuss isospectral quantum graphs which are not isometric. These graphs are the analogues of the isospectral domains in R2 which were introduced recently and are al…