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.
Dartmouth Digital Commons Citation
Pauls, Scott D. and Remondini, Daniel, "Measures of Centrality Based on the Spectrum of the Laplacian" (2012). Dartmouth Scholarship. 1987.
https://digitalcommons.dartmouth.edu/facoa/1987