Properties of weighted complex networks

Details Properties of weighted complex networks Properties of weighted complex networks

2005-04-12

arxiv.org/abs/cond-mat/0504294v3

International Journal of Modern Physics C Vol. 17, No. 4 (2006) 521-529

Physics

Condensed Matter

Statistical Mechanics

14 pages, 5 figures

Scientific paper

10.1142/S0129183106008662

We study two kinds of weighted networks, weighted small-world (WSW) and weighted scale-free (WSF). The weight $w_{ij}$ of a link between nodes $i$ and $j$ in the network is defined as the product of endpoint node degrees; that is $w_{ij}=(k_{i}k_{j})^{\theta}$. In contrast to adding weights to links during networks being constructed, we only consider weights depending on the `` popularity\rq\rq of the nodes represented by their connectivity. It was found that the both weighted networks have broad distributions on characterization the link weight, vertex strength, and average shortest path length. Furthermore, as a survey of the model, the epidemic spreading process in both weighted networks was studied based on the standard \emph{susceptible-infected} (SI) model. The spreading velocity reaches a peak very quickly after the infection outbreaks and an exponential decay was found in the long time propagation.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-350127