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math.SP2021★ 1 cited
Always detectable eigenfunctions on metric graphs
Pavel Kurasov
It is proven following [18[ that Laplacians with standard vertex continuous on metric trees and with standard and Dirichlet conditions on arbitrary metric graphs possess an infinit…
math.SP2021
On isospectral metric graphs
Pavel Kurasov, Jacob Muller
A new class of isospectral graphs is presented. These graphs are isospectral with respect to both the normalised Laplacian on the discrete graph and the standard differential Lapla…