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      Multiplex Networks

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      Springer International Publishing

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          A critical point for random graphs with a given degree sequence

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            Random graphs with arbitrary degree distributions and their applications

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              Diffusion dynamics on multiplex networks.

              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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                2014
                January 11 2014
                : 53-72
                10.1007/978-3-319-03518-5_3
                10cd587c-7d3b-4b60-84c0-2d9457ec985e
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