Evolving networks with disadvantaged long-range connections

Details Evolving networks with disadvantaged long-range connections Evolving networks with disadvantaged long-range connections

2002-05-07

arxiv.org/abs/cond-mat/0205136v1

Phys. Rev. E 66, 026118 (2002)

Physics

Condensed Matter

Statistical Mechanics

REVTeX, 6 pages, 5 figures

Scientific paper

10.1103/PhysRevE.66.026118

We consider a growing network, whose growth algorithm is based on the preferential attachment typical for scale-free constructions, but where the long-range bonds are disadvantaged. Thus, the probability to get connected to a site at distance $d$ is proportional to $d^{-\alpha}$, where $\alpha $ is a tunable parameter of the model. We show that the properties of the networks grown with $\alpha <1$ are close to those of the genuine scale-free construction, while for $\alpha >1$ the structure of the network is vastly different. Thus, in this regime, the node degree distribution is no more a power law, and it is well-represented by a stretched exponential. On the other hand, the small-world property of the growing networks is preserved at all values of $\alpha $.

Affiliated with

Also associated with

No associations

Rating

Evolving networks with disadvantaged long-range connections 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 Evolving networks with disadvantaged long-range connections, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Evolving networks with disadvantaged long-range connections will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-658545