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Modeling interacting dynamic networks: II. Systematic study of the statistical properties of cross-links between two networks with preferred degrees
- Source :
- J. Stat. Mech. (2014) P05021
- Publication Year :
- 2014
-
Abstract
- In a recent work \cite{LiuJoladSchZia13}, we introduced dynamic networks with preferred degrees and presented simulation and analytic studies of a single, homogeneous system as well as two interacting networks. Here, we extend these studies to a wider range of parameter space, in a more systematic fashion. Though the interaction we introduced seems simple and intuitive, it produced dramatically different behavior in the single- and two-network systems. Specifically, partitioning the single network into two identical sectors, we find the cross-link distribution to be a sharply peaked Gaussian. In stark contrast, we find a very broad and flat plateau in the case of two interacting identical networks. A sound understanding of this phenomenon remains elusive. Exploring more asymmetric interacting networks, we discover a kind of `universal behavior' for systems in which the `introverts' (nodes with smaller preferred degree) are far outnumbered. Remarkably, an approximation scheme for their degree distribution can be formulated, leading to very successful predictions.<br />Comment: Accepted by JSTAT
- Subjects :
- Physics - Physics and Society
Condensed Matter - Statistical Mechanics
Subjects
Details
- Database :
- arXiv
- Journal :
- J. Stat. Mech. (2014) P05021
- Publication Type :
- Report
- Accession number :
- edsarx.1404.1811
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1088/1742-5468/2014/05/P05021