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Table 8 Evolution of the Instances network through a comparison of structural characteristics with the Online-Instances network. Percentage changes refer to the increase/decrease of a statistic from the value observed in the Instances network. For the community statistics, percentage values refer to the number of communities containing at least ten instances

From: Understanding the growth of the Fediverse through the lens of Mastodon

  Online-Instances % Change
#Nodes 1115 − 84%
#Edges 75,046 − 65%
Reciprocity 70.6% + 8%
Density 0.06 + 1400%
Average degree* 87.074 + 107%
Average in-degree 67.306 + 116%
% Sources 2.1% − 83%
% Sinks 1.4% − 79%
Degree assortativity* − 0.290 + 6%
Degree assortativity − 0.284 + 12%
Average path length 2.020 − 13%
Diameter 4 − 20%
Transitivity* 0.369 + 188%
Clustering coefficient* 0.712 − 15%
Clustering coefficient (full averaging)* 0.689 0%
#Strongly connected components 41 − 97%
#Weakly connected components* 1 0%
Modularity by Louvain* 0.229 − 21%
#Communities by Louvain* 5 (5) 0%
Modularity by Louvain** 0.336 − 5%
#Communities by Louvain** 4 (7) − 33%
#Communities by Infomap** 4 (15) − 33%
Degree-based degeneracy 168 − 16%
Degree-based inner-most-core #nodes 153 − 19%
Degree-based inner-most-core #edges 17,449 − 32%
In-degree-based degeneracy 80 − 17%
In-degree-based inner-most-core #nodes 173 − 17%
In-degree-based inner-most-core #edges 20,320 − 29%
Out-degree-based degeneracy 82 − 15%
Out-degree-based inner-most-core #nodes 158 − 19%
Out-degree-based inner-most-core #edges 17,987 − 32%
  1. *Statistic calculated by discarding edge orientation
  2. **Statistic calculated by taking into account the edge weights