Physics – Physics and Society
Scientific paper
2012-02-07
Physics
Physics and Society
4 pages
Scientific paper
Many networks exhibit scale free behavior where their degree distribution obeys a power law for large vertex degrees. Models constructed to explain this phenomena have relied on preferential attachment where the networks grow by the addition of both vertices and edges, and the edges attach themselves to a vertex with a probability proportional to its degree. Simulations hint, though not conclusively, that both growth and preferential attachment are necessary for scale free behavior. We derive analytic expressions for degree distributions for networks that grow by the addition of edges to a fixed number of vertices, based on both linear and non-linear preferential attachment, and show that they fall off exponentially as would be expected for purely random networks. From this we conclude that preferential attachment alone might be necessary but is certainly not a sufficient condition for generating scale free networks.
No associations
LandOfFree
Preferential attachment alone is not sufficient to generate scale free random 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 Preferential attachment alone is not sufficient to generate scale free random networks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Preferential attachment alone is not sufficient to generate scale free random networks will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-580179