# On the Limiting Behavior of Parameter-Dependent Network Centrality Measures

@article{Benzi2015OnTL, title={On the Limiting Behavior of Parameter-Dependent Network Centrality Measures}, author={Michele Benzi and Christine Klymko}, journal={SIAM J. Matrix Anal. Appl.}, year={2015}, volume={36}, pages={686-706} }

We consider a broad class of walk-based, parameterized node centrality measures for network analysis. These measures are expressed in terms of functions of the adjacency matrix and generalize various well-known centrality indices, including Katz and subgraph centralities. We show that the parameter can be “tuned" to interpolate between degree and eigenvector centralities, which appear as limiting cases. Our analysis helps explain certain correlations often observed between the rankings obtained…

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