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We find that a wide class of developing and decaying networks has scaling properties similar to those that were recently observed by Barab\'asi 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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S. N. Dorogovt︠s︡ev
Physico-Technical Institute
J. F. F. Mendes
Boston University
EPL (Europhysics Letters)
Universidade do Porto
Physico-Technical Institute
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Dorogovt︠s︡ev et al. (Sun,) studied this question.
synapsesocial.com/papers/6a0e32ef2a2e27e73427b269 — DOI: https://doi.org/10.1209/epl/i2000-00400-0