Geography in a Scale-Free Network Model

Details Geography in a Scale-Free Network Model Geography in a Scale-Free Network Model

2002-07-12

arxiv.org/abs/cond-mat/0207324v3

Phys. Rev. E 66, 056105 (2002)

Physics

Condensed Matter

Statistical Mechanics

13 pages, 3 figures, added acknowledgement

Scientific paper

10.1103/PhysRevE.66.056105

We offer an example of an network model with a power law degree distribution, P(k) ~ k^{-alpha}, for nodes but which nevertheless has a well-defined geography and a nonzero threshold percolation probability for alpha>2, the range of real-world contact networks. This is different from the p_c=0 for alpha<3 results for well-mixed scale-free networks. In our lattice-based scale-free network, individuals link to nearby neighbors on a lattice. Even considerable additional small-world links do not change our conclusion of nonzero thresholds. When applied to disease propagation, these results suggest that random immunization may be more successful in controlling human epidemics than previously suggested if there is geographical clustering.

Affiliated with

Also associated with

No associations

Rating

Geography in a Scale-Free Network Model 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 Geography in a Scale-Free Network Model, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geography in a Scale-Free Network Model will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-710068