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Questions about the branch of combinatorics called graph theory (not to be used for questions concerning the graph of a function). This tag can be further specialized via using it in combination with more specialized tags such as extremal-graph-theory, spectral-graph-theory, algebraic-graph-theory, topological-graph-theory, random-graphs, graph-colorings and several others.

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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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