Measures of centrality based on the spectrum of the Laplacian

Scott D. Pauls, Daniel Remondini
2012 Physical Review E  
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 networks 1-spectral centrality behaves similarly to other standard
more » ... s, for dense weighted networks 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 pmid:23005182 fatcat:eqtcttvzzrehldhzirwllrbldq