Scaling Behaviour of Developing and Decaying Networks

Details Scaling Behaviour of Developing and Decaying Networks Scaling Behaviour of Developing and Decaying Networks

2000-05-02

arxiv.org/abs/cond-mat/0005050v1

EuroPhys. Lett. 52, 33 (2000)

Physics

Condensed Matter

7 pages (revtex)

Scientific paper

10.1209/epl/i2000-00400-0

We find that a wide class of developing and decaying networks has scaling properties similar to those that were recently observed by Barab\'{a}si and Albert in the particular case of growing networks. The networks considered here evolve according to the following rules: (i) Each instant a new site is added, the probability of its connection to old sites is proportional to their connectivities. (ii) In addition, (a) new links between some old sites appear with probability proportional to the product of their connectivities or (b) some links between old sites are removed with equal probability.

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