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On PageRank versatility for multiplex networks: properties and some useful bounds
Authors:Francisco Pedroche  Regino Criado  Julio Flores  Esther García  Miguel Romance
Institution:1. Institut de Matemàtica Multidisciplinària, Universitat Politècnica de València, 46022 València, Spain;2. Departamento de Matemática Aplicada, Ciencia e Ingeniería de los Materiales y Tecnología Electrónica, ESCET Universidad Rey Juan Carlos, 28933 Móstoles (Madrid), Spain
Abstract:In this paper, some results concerning the PageRank versatility measure for multiplex networks are given. This measure extends to the multiplex setting the well-known classic PageRank. Particularly, we focus on some spectral properties of the Laplacian matrix of the multiplex and on obtaining boundaries for the ranking value of a given node when some personalization vector is added, as in the classic setting.
Keywords:versatility  Laplacian matrices  PageRank  centrality measures  multiplex networks
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