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Table 7 Evolution of the Instances network through a comparison of structural characteristics with the earlier state-of-the-art network. Percentage changes refer to the increase/decrease of a statistic from the value observed in the earlier 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

  Earlier (Zignani et al. 2018) % Change
#Nodes 4015 + 73%
#Edges 95,221 + 127%
Reciprocity 70.9% − 8%
Density 0.006 − 33%
Average degree* 30.612 + 37%
Average in-degree 23.716 + 31%
% Sources 5.63% + 113%
% Sinks 9.39% − 30%
Degree assortativity* − 0.287 − 5%
Degree assortativity − 0.291 − 13%
Average path length 2.340 0%
Diameter 5 0%
Transitivity* 0.135 − 5%
Clustering coefficient* 0.848 − 1%
Clustering coefficient (full averaging)* 0.710 − 3%
#Strongly connected components 604 + 116%
#Weakly connected components* 1 0%
Modularity by Louvain* 0.356 − 19%
#Communities by Louvain* 4 (4) + 25%
Modularity by Louvain** 0.397 − 11%
#Communities by Louvain** 3 (5) + 100%
#Communities by Infomap** 5 (63) + 20%
Degree-based degeneracy 141 + 43%
Degree-based inner-most-core #nodes 120 + 58%
Degree-based inner-most-core #edges 11,227 + 130%
In-degree-based degeneracy 69 + 39%
In-degree-based inner-most-core #nodes 123 + 69%
In-degree-based inner-most-core #edges 11,401 + 152%
Out-degree-based degeneracy 70 + 39%
Out-degree-based inner-most-core #nodes 115 + 70%
Out-degree-based inner-most-core #edges 10,385 + 155%
  1. *Statistic calculated by discarding edge orientation
  2. **Statistic calculated by taking into account the edge weights