Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2004-03-23
Phys. Rev. E 69, 066104 (2004) (7 pages)
Physics
Condensed Matter
Statistical Mechanics
10 pages, 9 figures, to appear in PRE
Scientific paper
10.1103/PhysRevE.69.066104
The spacing of nearest levels of the spectrum of a complex network can be regarded as a time series. Joint use of Multi-fractal Detrended Fluctuation Approach (MF-DFA) and Diffusion Entropy (DE) is employed to extract characteristics from this time series. For the WS (Watts and Strogatz) small-world model, there exist a critical point at rewiring probability . For a network generated in the range, the correlation exponent is in the range of . Above this critical point, all the networks behave similar with that at . For the ER model, the time series behaves like FBM (fractional Brownian motion) noise at . For the GRN (growing random network) model, the values of the long-range correlation exponent are in the range of . For most of the GRN networks the PDF of a constructed time series obeys a Gaussian form. In the joint use of MF-DFA and DE, the shuffling procedure in DE is essential to obtain a reliable result. PACS number(s): 89.75.-k, 05.45.-a, 02.60.-x
Hu Beilai
Qi Longyu
Yang Hui-jie
Zhao Fangcui
No associations
LandOfFree
Temporal Series Analysis Approach to Spectra of Complex Networks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Temporal Series Analysis Approach to Spectra of Complex Networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Temporal Series Analysis Approach to Spectra of Complex Networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-678088