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Generation of degree-correlated networks using copulas

Raschke, Mathias ; Schläpfer, Markus ; Trantopoulos, Konstantinos

arXiv.org, 2013-03

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Título:
Generation of degree-correlated networks using copulas
Autor: Raschke, Mathias ; Schläpfer, Markus ; Trantopoulos, Konstantinos
Assuntos: Algorithms ; Computer Science - Social and Information Networks ; Correlation ; Epidemics ; Innovations ; Mathematical models ; Mathematics - Mathematical Physics ; Networks ; Physics - Data Analysis, Statistics and Probability ; Physics - Mathematical Physics ; Physics - Physics and Society ; Topology
É parte de: arXiv.org, 2013-03
Descrição: Dynamical processes on complex networks such as information propagation, innovation diffusion, cascading failures or epidemic spreading are highly affected by their underlying topologies as characterized by, for instance, degree-degree correlations. Here, we introduce the concept of copulas in order to artificially generate random networks with an arbitrary degree distribution and a rich a priori degree-degree correlation (or `association') structure. The accuracy of the proposed formalism and corresponding algorithm is numerically confirmed. The derived network ensembles can be systematically deployed as proper null models, in order to unfold the complex interplay between the topology of real networks and the dynamics on top of them.
Editor: Ithaca: Cornell University Library, arXiv.org
Idioma: Inglês

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