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Table 2 Summary of structural characteristics of the network datasets: type of the network, number of layers (l), number of entities, or actors (a), number of nodes (n), number of edges (e), density mean/SD over the layers, node degree mean/SD over the layers, average entity frequency (aef), homophily, and number of classes (c)

From: Graph convolutional and attention models for entity classification in multilayer networks

Network

Type

l

a

n

e

density

degree

aef (%)

homophily

c

Balance

Social

4

625

2500

155,000

\(0.199 \pm 0.0\)

\(124.0 \pm 0.0\)

100

\(0.507 \pm 0.0\)

3

CKM-Social

Social

3

241

723

2740

\(0.016 \pm 0.001\)

\(7.580 \pm 0.632\)

100

\(1.0 \pm 0.0\)

4

Congress

Vote

16

435

6960

707,872

\(0.496 \pm 0.025\)

\(203.411 \pm 10.86\)

100

\(0.670 \pm 0.115\)

2

DKPol

Political

3

490

839

20,226

\(0.07 \pm 0.008\)

\(28.991 \pm 44.115\)

57.07

\(0.518 \pm 0.282\)

10

Leskovec-Ng

Collaboration, Temporal

4

191

214

536

\(0.166 \pm 0.151\)

\(4.088 \pm 1.454\)

28.01

\(0.994 \pm 0.012\)

2

Starwars

Interaction

6

92

157

494

\(0.253 \pm 0.045\)

\(6.117\pm 0.835\)

28.44

\(0.571 \pm 0.067\)

3

Terrorist-Noordin

Terrorist

4

79

227

1822

\(0.129 \pm 0.05\)

\(13.829 \pm 9.087\)

71.83

\(0.780 \pm 0.118\)

2

Terrorist-status

Terrorist

4

79

227

1822

\(0.129 \pm 0.05\)

\(13.829 \pm 9.087\)

71.83

\(0.469 \pm 0.069\)

3

Vickers

Social

3

29

87

740

\(0.304 \pm 0.122\)

\(17.011 \pm 6.854\)

100

\(0.763 \pm 0.088\)

2

Koumbia-2-mpx

Geospatial

2

2246

2246

6011

\(0.002 \pm 0.001\)

\(5.355 \pm 0.017\)

50

\(0.814 \pm 0.004\)

2

Koumbia-5-mpx

Geospatial

5

2246

3776

12,870

\(0.005 \pm 0.002\)

\(6.751 \pm 0.448\)

33.62

\(0.827 \pm 0.097\)

2

Koumbia-10-mpx

Geospatial

10

2246

7191

27,433

\(0.006 \pm 0.003\)

\(7.567 \pm 0.392\)

32.02

\(0.826 \pm 0.091\)

2

Koumbia-15-mpx

Geospatial

15

2246

10,591

43,285

\(0.007 \pm 0.003\)

\(8.103 \pm 0.458\)

31.43

\(0.826 \pm 0.090\)

2

Koumbia-20-mpx

Geospatial

20

2246

14,069

59,968

\(0.008 \pm 0.07\)

\(8.447 \pm 0.489\)

31.32

\(0.823 \pm 0.089\)

2