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Table 6 Summary of structural characteristics of the Instances network before and after graph pruning. For each of the two graph pruning models, we tested under significance levels at 1% and 5%, which are indicated within brackets

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

  Unpruned MLF MLF Disparity Disparity
(0.05) (0.01) (0.05) (0.01)
#Nodes 6960 6454 6081 3949 3260
#Edges 216,504 97,141 68,100 19,208 12,849
Reciprocity 65.1% 57.9% 58.4% 67.8% 68.5%
Density 0.004 0.002 0.002 0.001 0.001
Average degree* 41.966 21.390 15.860 6.429 5.182
Average in-degree 31.107 15.051 11.199 4.864 3.941
% Sources 12% 13.1% 14.1% 24.1% 26.5%
% Sinks 6.6% 6.5% 6.7% 6.9% 7.9%
Degree assortativity* − 0.274 − 0.249 − 0.224 − 0.244 − 0.272
Degree assortativity − 0.253 − 0.231 − 0.214 − 0.253 − 0.283
Average path length 2.330 3.080 3.270 2.530 2.520
Diameter 5 6 7 5 6
Transitivity* 0.128 0.070 0.066 0.024 0.018
Clustering coefficient* 0.836 0.502 0.493 0.846 0.839
Clustering coefficient (full averaging)* 0.687 0.411 0.390 0.447 0.370
#Strongly connected components 1305 1276 1278 1228 1121
#Weakly connected components* 1 1 1 1 1
Modularity by Louvain* 0.289 0.495 0.540 0.469 0.495
#Communities by Louvain* 5 (5) 7 (7) 7 (7) 8 (8) 8 (9)
Modularity by Louvain** 0.353 0.442 0.442 0.369 0.375
#Communities by Louvain** 6 (8) 6 (8) 7 (9) 7 (9) 7 (11)
#Communities by Infomap** 6 (54) 10 (103) 12 (82) 6 (30) 5 (38)
  1. *Statistic calculated by discarding edge orientation
  2. **Statistic calculated by taking into account the edge weights