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Spectral plot properties: Towards a qualitative classification of networks

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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.
    Mathematics Subject Classification: Primary: 05C75, 47A75; Secondary: 90C35, 68R10.

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