Finite-size effects in exponential random graphs

A Gorsky, O Valba - Journal of Complex Networks, 2020 - academic.oup.com
In this article, we show numerically the strong finite-size effects in exponential random
graphs. Particularly, for the two-star model above the critical value of the chemical potential …

Synchronization in interacting scale-free networks

MF Torres, MA Di Muro, CE La Rocca… - Europhysics …, 2015 - iopscience.iop.org
We study the fluctuations of the interface, in the steady state, of the Surface Relaxation
Model (SRM) in two scale-free interacting networks where a fraction q of nodes in both …

Fluctuations in complex networks with variable dimensionality and heterogeneity

HH Yoo, DS Lee - Physical Review E, 2016 - APS
Synchronizing individual activities is essential for the stable functioning of diverse complex
systems. Understanding the relation between dynamic fluctuations and the connection …

Fluctuations of a surface relaxation model in interacting scale free networks

MF Torres, CE La Rocca, LA Braunstein - Physica A: Statistical Mechanics …, 2016 - Elsevier
Isolated complex networks have been studied deeply in the last decades due to the fact that
many real systems can be modeled using these types of structures. However, it is well …

Relevance of the minimum degree to dynamic fluctuation in strongly heterogeneous networks

HH Yoo, DS Lee - Journal of the Korean Physical Society, 2018 - Springer
The fluctuation of dynamic variables in complex networks is known to depend on the
dimension and the heterogeneity of the substrate networks. Previous studies, however, have …

Fluctuations of a surface relaxation model in interacting scale free networks

MF Torres Rasmussen, CE la Rocca, LA Braunstein - 2016 - ri.conicet.gov.ar
Isolated complex networks have been studied deeply in the last decades due to the fact that
many real systems can be modeled using these types of structures. However, it is well …

Finite-size effects in exponential random graphs and cluster evaporation

A Gorsky, O Valba - arxiv preprint arxiv:1905.03336, 2019 - arxiv.org
In this Letter we find numerically the strong finite-size effects in the critical behavior of Erd\H
{o} sR\'enyi (ER) networks supplemented with chemical potentials for some motifs, in …