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.2008 Sep;78(3 Pt 2):036107.
doi: 10.1103/PhysRevE.78.036107. Epub 2008 Sep 5.

Spectral centrality measures in complex networks

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Spectral centrality measures in complex networks

Nicola Perra et al. Phys Rev E Stat Nonlin Soft Matter Phys.2008 Sep.

Abstract

Complex networks are characterized by heterogeneous distributions of the degree of nodes, which produce a large diversification of the roles of the nodes within the network. Several centrality measures have been introduced to rank nodes based on their topological importance within a graph. Here we review and compare centrality measures based on spectral properties of graph matrices. We shall focus on PageRank (PR), eigenvector centrality (EV), and the hub and authority scores of the HITS algorithm. We derive simple relations between the measures and the (in)degree of the nodes, in some limits. We also compare the rankings obtained with different centrality measures.

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