publication . Article . Preprint . 2017

Random walk in degree space and the time-dependent Watts-Strogatz model

Grande, H. L. Casa; Cotacallapa, M.; Hase, M. O.;
Open Access
  • Published: 23 Jan 2017 Journal: Physical Review E, volume 95 (issn: 2470-0045, eissn: 2470-0053, Copyright policy)
  • Publisher: American Physical Society (APS)
Abstract
In this work, we propose a scheme that provides an analytical estimate for the time-dependent degree distribution of some networks. This scheme maps the problem into a random walk in degree space, and then we choose the paths that are responsible for the dominant contributions. The method is illustrated on the dynamical versions of the Erd\"os-R\'enyi and Watts-Strogatz graphs, which were introduced as static models in the original formulation. We have succeeded in obtaining an analytical form for the dynamics Watts-Strogatz model, which is asymptotically exact for some regimes.
Subjects
arXiv: Computer Science::Social and Information NetworksPhysics::Physics and Society
free text keywords: REDES COMPLEXAS, SISTEMAS DINÂMICOS, Graph, Degree distribution, Mathematics, Classical mechanics, Statistical physics, Random walk, Discrete mathematics, Physics - Physics and Society, Condensed Matter - Statistical Mechanics, Computer Science - Social and Information Networks
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publication . Article . Preprint . 2017

Random walk in degree space and the time-dependent Watts-Strogatz model

Grande, H. L. Casa; Cotacallapa, M.; Hase, M. O.;