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Please find here some relations between the eigenvalues of the Laplacian and properties of the graph. You can also take a look at Fang Fan Chung's book "Spectral Graph Theory" where many properties are discussed and the first four chapters are available online here.
show/hide this revision's text 1

Please find here some relations between the eigenvalues of the Laplacian and properties of the graph. You can also take a look at Fang Chung's book "Spectral Graph Theory" where many properties are discussed and the first four chapters are available online here.