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Applied Network Science

Table 2 Characteristics of networks gX corresponding to distinct periods X=i,…,vi and GX of aggregated periods X=I,…,IV

From: Network cartography of university students’ knowledge landscapes about the history of science: landmarks and thematic communities

Netw.

Sizes

Fitted parameters

Correlations

Global invariants

Fragility

 

N

M

γ

σ

R 2

τ B

C C

C L

Q

A

Φ

gi

239

356

1.0 ±0.3

1.23 ±0.07

0.90

0.51

0.24

0.40

0.66

-0.09

0.04

gii

311

392

1.5 ±0.4

1.17 ±0.07

0.74

0.45

0.18

0.43

0.80

-0.10

0.10

giii

326

424

1.5 ±0.2

1.13 ±0.07

0.75

0.34

0.16

0.39

0.80

-0.09

0.18

giv

158

190

0.9 ±0.6

1.13 ±0.07

0.77

0.57

0.18

0.35

0.78

-0.12

0.17

gv

208

254

1.6 ±0.3

1.13 ±0.07

.77

0.51

0.16

0.38

0.79

-0.12

0.14

gvi

308

375

0.7 ±0.3

1.16 ±0.07

0.77

0.44

0.19

0.44

0.80

-0.11

0.20

GI

826

1212

1.7 ±0.2

1.27 ±0.05

0.71

0.51

0.18

0.37

0.78

-0.06

0.03

GII

858

1149

2.0 ±0.2

1.26 ±0.04

0.75

0.42

0.16

0.39

0.83

-0.08

0.03

GIII

796

1053

2.3 ±0.2

1.26 ±0.03

0.69

0.46

0.15

0.37

0.84

-0.08

0.07

GIV

757

992

1.6 ±0.2

1.27 ±0.05

0.76

0.48

0.17

0.39

0.83

-0.09

0.16

GTOT

1613

2306

2.1 ±0.1

1.60 ±0.04

0.62

0.53

0.16

0.36

0.83

-0.07

0.03

  1. Power γ is for fitted inverse power law distributions fitted to degree (D) centrality distributions. The (logarithmic) width σ is for lognormal distributions fitted to Katz (K) centrality distributions. The relative errors of fits are estimated from the standard deviation of residuals. The correlations between values D and K are for Pearson (R2) and Kendall- τB ranking (τB) correlations. The summarised global invariants are average values of Closeness centrality (CL), Local Clustering coefficient (CC), Modularity (Q) and Assortativity (A). For each network, the number of nodes N and links M are provided, as well as the fragility Φ
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