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Table 1 Considered real-world networks

From: Node-weighted centrality: a new way of centrality hybridization

Instance name

n

m

Avg. deg.

Density

\(\hat{C}\)

Assortativity (D)

Max clique

Network type

Chicago Road [36]

1467

1298

1.7696

0.0012

0.0001

\(-\) 0.5049

2

Transport network

Chilean Power Grid [38]

347

444

2.5591

0.0074

0.0865

\(-\) 0.0773

4

Energy network

Euroroad [36]

1174

1417

2.414

0.0021

0.0167

0.1267

3

Transport network

London Metro [34]

266

308

2.3158

0.0087

0.0363

0.1531

3

Transport network

Madrid Metro [34]

209

240

2.2967

0.011

0.0056

0.1776

3

Transport network

Mexico Metro [34]

147

164

2.2313

0.0153

0.0034

\(-\) 0.1105

3

Transport network

Minnesota Road [31]

2642

3303

2.5004

0.0009

0.016

\(-\) 0.1848

3

Transport network

Moscow Metro [34]

134

156

2.3284

0.0175

0.0174

0.4492

3

Transport network

New York Metro [34]

433

475

2.194

0.0051

0.0173

\(-\) 0.0297

3

Transport network

Oldenburg Road [32]

6105

7029

2.3027

0.0004

0.0108

0.0554

3

Transport network

Openflights [34]

2939

15677

10.6683

0.0036

0.4526

0.0509

22

Transport network

Osaka Metro [34]

108

123

2.2778

0.0213

0.0001

0.1965

2

Transport network

p2p-Gnutella08 [37]

6301

20777

6.5948

0.001

0.0109

0.0356

5

Internet peer-to-peer network

Paris Metro [34]

299

356

2.3813

0.008

0.0204

\(-\) 0.0297

3

Transport network

as20000102 [37]

6474

13895

4.2926

0.0007

0.2522

\(-\) 0.1704

10

Autonomous systems graph

Seoul Metro [34]

392

437

2.2296

0.0057

0.006

0.0313

3

Transport network

Shanghai Metro [34]

148

158

2.1351

0.0145

0.0029

\(-\) 0.0318

3

Transport network

Tokyo Metro [34]

217

262

2.4147

0.0112

0.0237

0.1983

3

Transport network

US Air [35]

332

2126

12.8072

0.0387

0.6252

\(-\) 0.2079

22

Transport network

US Power Grid [39]

4941

6594

2.6691

0.0005

0.0801

0.0035

6

Energy network

NRPG data [33]

246

373

3.0325

0.0124

0.1071

\(-\) 0.0932

3

Energy network