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Title: Diffusion dynamics on multiplex networks
Author: Gómez, S.
Díaz Guilera, Albert
Gómez-Gardeñes, J.
Pérez-Vicente, Conrado, 1962-
Moreno, Y.
Arenas, A.
Keywords: Xarxes d'ordinadors
Xarxes socials
Teoria de grafs
Computer networks
Social networks
Graph theory
Issue Date: 8-Jan-2013
Publisher: American Physical Society
Abstract: We study the time scales associated with diffusion processes that take place on multiplex networks, i.e., on a set of networks linked through interconnected layers. To this end, we propose the construction of a supra-Laplacian matrix, which consists of a dimensional lifting of the Laplacian matrix of each layer of the multiplex network. We use perturbative analysis to reveal analytically the structure of eigenvectors and eigenvalues of the complete network in terms of the spectral properties of the individual layers. The spectrum of the supra-Laplacian allows us to understand the physics of diffusionlike processes on top of multiplex networks.
Note: Reproducció del document publicat a:
It is part of: Physical Review Letters, 2013, vol. 110, p. 028701-1-028701-5
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ISSN: 0031-9007
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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