Structural transitions in scale-free networks

Details Structural transitions in scale-free networks Structural transitions in scale-free networks

2002-08-28

arxiv.org/abs/cond-mat/0208551v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 3 figures, RevTex format

Scientific paper

10.1103/PhysRevE.67.056102

Real growing networks like the WWW or personal connection based networks are characterized by a high degree of clustering, in addition to the small-world property and the absence of a characteristic scale. Appropriate modifications of the (Barabasi-Albert) preferential attachment network growth capture all these aspects. We present a scaling theory to describe the behavior of the generalized models and the mean field rate equation for the problem. This is solved for a specific case with the result C(k) ~ 1/k for the clustering of a node of degree k. Numerical results agree with such a mean-field exponent which also reproduces the clustering of many real networks.

Affiliated with

Also associated with

No associations

Rating

Structural transitions in scale-free 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 Structural transitions in scale-free networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structural transitions in scale-free networks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-283491