The European Physical Journal Special Topics

, Volume 222, Issue 6, pp 1311–1333 | Cite as

Elementary models of dynamic networks

  • László GulyásEmail author
  • George KampisEmail author
  • Richard O. LegendiEmail author
Regular Article The Dynamics OF Networks: General Theory


Inspecting the dynamics of networks opens a new dimension in understanding the interactions among the components of complex systems. Our goal is to understand the baseline properties expected from elementary random changes over time, in order to be able to assess the various effects found in longitudinal data. We created elementary dynamic models from classic random and preferential networks. Focusing on edge dynamics, we defined several processes for changing networks of a fixed size. We applied simple rules, including random, preferential and assortative modifications of existing edges – or a combination of these. Starting from initial Erdos-Rényi networks, we examined various basic network properties (e.g., density, clustering, average path length, number of components, degree distribution, etc.) of both snapshot and cumulative networks (for various lengths of aggregation time windows). Our results provide a baseline for changes to be expected in dynamic networks. We found universalities in the dynamic behavior of most network statistics. Furthermore, our findings suggest that certain network properties have a strong, non-trivial dependence on the length of the sampling window.


European Physical Journal Special Topic Dynamic Network Degree Distribution Betweenness Centrality Universality Class 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.


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Copyright information

© EDP Sciences and Springer 2013

Authors and Affiliations

  1. 1.PetaByte LtdBudapestHungary
  2. 2.AITIA International, IncBudapestHungary
  3. 3.Eötvös Loránd UniversityBudapestHungary
  4. 4.DFKI (German Research Insitute for Artificial Intelligence)KaiserslauternGermany

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