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- W2962789371 abstract "We prove that after an arbitrarily small adjustment of edge lengths, the spectrum of a compact quantum graph with δ-type vertex conditions can be simple. We also show that the eigenfunctions, with the exception of those living entirely on a looping edge, can be made to be non-vanishing on all vertices of the graph. As an application of the above result, we establish that the secular manifold (also called “determinant manifold”) of a large family of graphs has exactly two smooth connected components." @default.
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- W2962789371 date "2017-01-01" @default.
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- W2962789371 title "Simplicity of eigenvalues and non-vanishing of eigenfunctions of a quantum graph" @default.
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- W2962789371 doi "https://doi.org/10.1016/j.jmaa.2016.07.026" @default.
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