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Table 3 Summary of structural characteristics of the Instances network, including details on community structure and core decomposition

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

 

Instances

Instances inner-most core

Degree

In-degree

Out-degree

#Nodes

6960

189

208

196

#Edges

216,504

25,790

28,690

26,463

Reciprocity

65.1%

88.4%

85.7%

88.2%

Density

0.004

0.726

0.666

0.692

Average degree*

41.966

152.328

157.702

150.98

Average in-degree

31.107

136.455

137.933

135.015

% Sources

12%

0%

0%

0%

% Sinks

6.6%

0%

0.005%

0%

Degree assortativity*

− 0.274

− 0.117

− 0.158

− 0.135

Degree assortativity

− 0.253

− 0.14

− 0.171

− 0.151

Average path length

2.330

1.270

1.330

1.310

Diameter

5

2

2

2

Transitivity*

0.128

0.832

0.798

0.807

Clustering coefficient*

0.836

0.837

0.810

0.816

Clustering coefficient (full averaging)*

0.687

0.837

0.810

0.816

#Strongly connected components

1305

1

2

1

#Weakly connected components*

1

1

1

1

Modularity by Louvain*

0.289

0.032

0.039

0.037

#Communities by Louvain*

5 (5)

3 (3)

3 (3)

3 (3)

Modularity by Louvain**

0.353

0.242

0.246

0.246

#Communities by Louvain**

6 (8)

4 (5)

3 (4)

4 (6)

#Communities by Infomap**

6 (54)

1 (3)

1 (4)

1 (3)

  1. *Statistic calculated by discarding the edge orientation
  2. **Statistic calculated by taking into account the edge weights