Quantifying long-range correlations in complex networks beyond nearest neighbors
arXiv:1005.3680 · doi:10.1209/0295-5075/90/28002
Abstract
We propose a fluctuation analysis to quantify spatial correlations in complex networks. The approach considers the sequences of degrees along shortest paths in the networks and quantifies the fluctuations in analogy to time series. In this work, the Barabasi-Albert (BA) model, the Cayley tree at the percolation transition, a fractal network model, and examples of real-world networks are studied. While the fluctuation functions for the BA model show exponential decay, in the case of the Cayley tree and the fractal network model the fluctuation functions display a power-law behavior. The fractal network model comprises long-range anti-correlations. The results suggest that the fluctuation exponent provides complementary information to the fractal dimension.
References in corpus (5)
- The backbone of the climate network
- Scaling theory of transport in complex networks
- Small world-Fractal Transition in Complex Networks: Renormalization Group Approach
- Betweenness Centrality of Fractal and Non-Fractal Scale-Free Model Networks and Tests on Real Networks
- Scaling of degree correlations and the influence on diffusion in scale-free networks
Cited by in corpus (12)
- Communication activity in a social network: relation between long-term correlations and inter-event clustering
- Degree Correlation in Scale-Free Graphs
- Information theoretic network approach to socioeconomic correlations
- A general formulation of long-range degree correlations in complex networks
- Communication activity in social networks: growth and correlations
- Structure of percolating clusters in random clustered networks
- Inducing Self-Organized Criticality in a network toy model by neighborhood assortativity
- Characterizing the intrinsic correlations of scale-free networks
- Analytic solution of the two-star model with correlated degrees
- Emergence of Long-Range Correlations in Random Networks
- Dual-induced multifractality in online viewing activity
- Percolation on a maximally disassortative network