A general geometric growth model for pseudofractal scale-free web

Details A general geometric growth model for pseudofractal scale-free web A general geometric growth model for pseudofractal scale-free web

2005-12-07

arxiv.org/abs/cond-mat/0512145v2

Physica A 377 (2007) 329-339

Physics

Condensed Matter

Statistical Mechanics

16 pages, 4 figures, accepted for publication in Physica A

Scientific paper

10.1016/j.physa.2006.11.006

We propose a general geometric growth model for pseudofractal scale-free web, which is controlled by two tunable parameters. We derive exactly the main characteristics of the networks: degree distribution, second moment of degree distribution, degree correlations, distribution of clustering coefficient, as well as the diameter, which are partially determined by the parameters. Analytical results show that the resulting networks are disassortative and follow power-law degree distributions, with a more general degree exponent tuned from 2 to $1+\frac{\ln3}{\ln2}$; the clustering coefficient of each individual node is inversely proportional to its degree and the average clustering coefficient of all nodes approaches to a large nonzero value in the infinite network order; the diameter grows logarithmically with the number of network nodes. All these reveal that the networks described by our model have small-world effect and scale-free topology.

Affiliated with

Also associated with

No associations

Rating

A general geometric growth model for pseudofractal scale-free web 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 A general geometric growth model for pseudofractal scale-free web, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and A general geometric growth model for pseudofractal scale-free web will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-428331