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Table 3 Description of the structural properties of the real-world networks. N is the total numbers of nodes, E is the number of edges. \(\langle k\rangle \)\(k_{\max }\) are respectively the average and the max degree. C is the average clustering coefficient. \(\alpha _{\mathrm{th}}\) is the epidemic threshold of the network

From: Centrality in modular networks

Network

N

E

k

\(k_{\max }\)

C

\(\alpha _{\mathrm{th}}\)

ego-Facebook

4039

88,234

43.69

1045

0.605

0.009

Caltech

620

7255

43.31

248

0.443

0.012

Princeton

5112

28,684

88.93

628

0.298

0.006

Georgetown

7423

162,982

90.42

1235

0.268

0.006

Email-Eu-core

986

25,552

33.24

347

0.399

0.013

Power-grid

4941

6594

2.66

19

0.107

0.092

CR-QC

4158

13,428

5.53

81

0.529

0.059