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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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Meaning of eigenvalue 1 and symmetry in Laplacian spectra of graphs

A high density/peak on eigenvalue 1 can indicate that the network contains many local symmetries. The shape of the normalized Laplacian spectrum provides a fingerprint of the structure of the underly …
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