Analytical relationships between metric and centrality measures of a network and its dual |
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Authors: | R. Criado,J. Flores A. Garcí a del Amo,M. Romance |
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Affiliation: | Departamento de Matemática Aplicada, Universidad Rey Juan Carlos, 28933 Móstoles (Madrid), Spain |
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Abstract: | The centrality and efficiency measures of a network G are strongly related to the respective measures on the dual G? and the bipartite B(G) associated networks. We show some relationships between the Bonacich centralities c(G), c(G?) and c(B(G)) and between the efficiencies E(G) and E(G?) and we compute the behavior of these parameters in some examples. |
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Keywords: | Network&rsquo s centrality Network&rsquo s efficiency Dual graph |
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