Random matrix analysis of complex networks

Details Random matrix analysis of complex networks Random matrix analysis of complex networks

2007-01-02

arxiv.org/abs/cond-mat/0701043v2

Phys. Rev. E, Vol. 76, 046107 (2007)

Physics

Condensed Matter

Statistical Mechanics

accepted in Phys. Rev. E (replaced with the final version)

Scientific paper

10.1103/PhysRevE.76.046107

We study complex networks under random matrix theory (RMT) framework. Using nearest-neighbor and next-nearest-neighbor spacing distributions we analyze the eigenvalues of adjacency matrix of various model networks, namely, random, scale-free and small-world networks. These distributions follow Gaussian orthogonal ensemble statistic of RMT. To probe long-range correlations in the eigenvalues we study spectral rigidity via $\Delta_3$ statistic of RMT as well. It follows RMT prediction of linear behavior in semi-logarithmic scale with slope being $\sim 1/\pi^2$. Random and scale-free networks follow RMT prediction for very large scale. Small-world network follows it for sufficiently large scale, but much less than the random and scale-free networks.

Affiliated with

Also associated with

No associations

Rating

Random matrix analysis 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 Random matrix analysis of complex networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Random matrix analysis of complex networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-563586