Year: 2013
Type: article
Abstract: Correlations may affect propagation processes on complex networks. To analyze their effect, it is useful to build ensembles of networks constrained to have a given value of a structural measure, such as the degree–degree correlation r , but that are random in other respects and preserve the degree sequence. This can be done through Monte Carlo optimization procedures. Meanwhile, when tuning r , other network properties may concomitantly change. Thus, in this work we analyze, for the r -ensembles, the impact of r on properties such as transitivity, branching and characteristic path lengths, that are relevant when investigating spreading phenomena on these networks. The present analysis is performed for networks with degree distributions of two main types: either localized around a typical degree (with exponentially bounded asymptotic decay) or broadly distributed (with power-law decay). Size effects are also investigated.
Authors: Marlon Ramos, Celia Anteneodo
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: bronze
OpenAlex ID: W2020841459