Spectral Plot Properties: Qualitative Classification of Networks

author: Anirban Banerjee, Max Planck Institute for Mathematics in the Sciences, Max Planck Institute
published: Dec. 14, 2007,   recorded: October 2007,   views: 2941


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We introduce a tentative classification scheme for empirical networks based on global qualitative properties detected through the spectrum of the Laplacian of the graph underlying the network. Our method identifies several distinct types of networks across different domains of applications, indicates hidden regularity properties and provides evidence for processes like node duplication behind the evolution or construction of a given class of networks.

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