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October 1, 2000EPL (Europhysics Letters)250 citationsOpen Access

Scaling behaviour of developing and decaying networks

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SDS. N. Dorogovt︠s︡evJMJ. F. F. Mendes

Key Points

  • This research investigates the scaling behavior of a wide range of developing and decaying networks.
  • Networks evolve by adding new sites connected based on existing connectivities.
  • New links between old sites may appear or old links may be removed with given probabilities.
  • Networks exhibit scaling properties akin to those in growing networks as identified by Barabási and Albert.
  • Probability rules for connections influence the overall scaling behavior of these networks.

Abstract

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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Cite This Study

Dorogovt︠s︡ev et al. (2000) studied this question.

synapsesocial.com/papers/6a0e32ef2a2e27e73427b269https://doi.org/10.1209/epl/i2000-00400-0
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