Document Type

Article

Publication Date

12-20-2012

Publication Title

Physical Review E - Statistical, Nonlinear, and Soft Matter Physics

Department

Department of Mathematics

Abstract

We introduce a family of new centralities, the k-spectral centralities. k-Spectral centrality is a measurement of importance with respect to the deformation of the graph Laplacian associated with the graph. Due to this connection, k-spectral centralities have various interpretations in terms of spectrally determined information.

We explore this centrality in the context of several examples. While for sparse unweighted net- works 1-spectral centrality behaves similarly to other standard centralities, for dense weighted net- works they show different properties. In summary, the k-spectral centralities provide a novel and useful measurement of relevance (for single network elements as well as whole subnetworks) distinct from other known measures.

DOI

10.1103/PhysRevE.85.066127

Original Citation

Pauls SD, Remondini D. Measures of centrality based on the spectrum of the Laplacian. Phys Rev E Stat Nonlin Soft Matter Phys. 2012 Jun;85(6 Pt 2):066127. doi: 10.1103/PhysRevE.85.066127. Epub 2012 Jun 20. PMID: 23005182.

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