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

#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%