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Questions related to the spectrum of graphs, defined using one of the possible variants of the discrete Laplace operator or Laplacian matrix. See https://en.wikipedia.org/wiki/Discrete_Laplace_operator

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Eigenfunctions of random graphs

Laplacian eigenvectors tend to localize over nodes with similar degrees. Some illustrations and exposition begin on page two in this paper: doi:10.1038/nphys1651 with a more detailed explanation here: …
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