Genericity of simple eigenvalues for a metric graph

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Schrödinger operators on graphs and geometry I: Essentially bounded potentials (2008, unknown): “Keywords: Quantum graph; Trace formula; Euler characteristic”
Graph Laplacians and topology (2008, background): “Friedlander [12]: generic quantum graphs do not have multiple eigenvalues and thus generic compact graphs can be reconstructed from the spectrum of the Laplace operator.”
Rayleigh estimates for differential operators on graphs (2014, background): “Differential equations on metric graphs are also interesting from purely mathematical point of view and exhibit unusual spectral phenomena; see [6], [15], [24], and [25].”
Harmonic Analysis on Metrized Graphs (2004, background): “In [ Fr ], L. Friedlander shows that for a “generic” metrized graph, all eigenvalues of the Laplacian (relative to the measure µ = dx) have multiplicity one.”