Local estimates for eigenvector-like centralities of complex networks |
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Authors: | Miguel Romance |
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Institution: | Departamento de Matemática Aplicada, Universidad Rey Juan Carlos, 28933 Móstoles, Madrid, Spain |
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Abstract: | We will analyze several centrality measures by giving a general framework that includes the Bonacich centrality, PageRank centrality or in-degree vector, among others. We will get some local scale estimators for such global measures by giving some geometrical characterizations and some deviation results that help to quantify the error of approximating a spectral centrality by a local estimator. |
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Keywords: | Complex networks Centrality measures Spectral analysis |
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