188 citations · 935 across the 31 of their papers we have counts for
Showing math-phShow all
3 papers · 1 filter
math-ph2022★ 5 cited
Differences between Robin and Neumann eigenvalues on metric graphs
Ram Band, Holger Schanz, Gilad Sofer
We consider the Laplacian on a metric graph, equipped with Robin (-type) vertex condition at some of the graph vertices and Neumann-Kirchhoff condition at all others. The corres…
math-ph2017★ 6 cited
Edge switching transformations of quantum graphs
Michael Aizenman, Holger Schanz, Uzy Smilansky +1
Discussed here are the effects of basics graph transformations on the spectra of associated quantum graphs. In particular it is shown that under an edge switch the spectrum of the…
math-ph2000
Combinatorial Identities from the Spectral Theory of Quantum Graphs
Holger Schanz, Uzy Smilansky
We present a few combinatorial identities which were encountered in our work on the spectral theory of quantum graphs. They establish a new connection between the theory of random…