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

#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%