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2013-01-08

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/51663

Diffusion dynamics on multiplex networks

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http://dx.doi.org/10.1103/PhysRevLett.110.028701

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.

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Xarxes d'ordinadors, Topologia, Dinàmica, Xarxes socials, Teoria de grafs

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Computer networks, Topology, Dynamics, Social networks, Graph theory

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Articles publicats en revistes (Física de la Matèria Condensada)

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GÓMEZ, S., et al. Diffusion dynamics on multiplex networks. Physical Review Letters. 2013. Vol. 110, num. 028701-1-028701-5. ISSN 0031-9007. [consulted: 14 of June of 2026]. Available at: https://hdl.handle.net/2445/51663

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