Skip to main content

Table 3 Ranking list of top three central nodes using the proposed hybrid measures and the traditional centrality measures on considered real-world networks given in Table 1

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

Instance name

HABC

EABC (\(\alpha =0.5)\)

EABC (\(\alpha =0.75)\)

BC

CC

DC

EC

R1

R2

R3

R1

R2

R3

R1

R2

R3

R1

R2

R3

R1

R2

R3

R1

R2

R3

R1

R2

R3

Chicago Road

1156

1157

1147

1156

1157

1147

1156

1157

1147

1156

1157

1147

1156

1157

1147

552

922

10

1156

1147

1150

Chilean Power Grid

178

105

147

178

105

147

178

105

147

178

105

108

178

105

147

108

6

178

108

264

29

Euroroad

402

284

277

402

284

277

402

284

277

402

284

277

401

402

403

284

7

39

7

43

454

London Metro

115

29

12

115

29

12

115

29

12

12

115

180

115

29

214

12

164

305

214

115

219

Madrid Metro

80

162

146

80

162

146

162

80

146

80

146

162

162

80

235

80

15

9

15

54

40

Mexico Metro

26

70

23

26

70

78

70

26

54

26

70

25

70

26

23

26

127

61

26

70

23

Minnesota Road

300

328

280

1821

2069

300

280

328

300

1821

2069

2063

1356

1820

1109

2418

35

32

1927

1930

1987

Moscow Metro

59

71

25

59

71

25

71

59

73

25

74

59

73

71

25

24

59

21

59

25

73

New York Metro

424

191

410

424

191

410

424

191

410

424

191

148

84

424

410

273

228

410

273

228

188

Oldenburg Road

831

714

731

831

714

711

831

714

803

831

714

593

714

731

712

831

1657

1571

1677

1683

1691

Openflights

53

65

57

53

57

65

53

57

65

53

65

1576

53

65

57

53

65

59

53

59

65

Osaka Metro

25

70

95

25

70

95

70

95

25

25

99

70

95

70

25

25

54

42

25

81

54

p2p-Gnutella08

123

367

127

123

367

127

123

127

367

5831

1317

424

123

127

1317

123

127

367

367

123

145

Paris Metro

150

57

235

150

57

235

150

57

235

57

150

106

57

150

235

57

177

246

186

150

235

as20000102

2

10

7

2

10

7

2

10

7

2

7

10

2

10

7

2

10

7

2

10

7

Seoul Metro

220

480

357

220

444

391

220

480

357

220

444

391

220

480

357

254

444

391

103

254

125

Shanghai Metro

136

16

113

136

16

213

136

113

16

16

136

65

136

113

97

16

136

220

16

137

138

Tokyo Metro

150

85

53

150

85

53

85

150

60

150

53

85

150

60

85

150

53

120

150

120

36

US Air

118

261

201

118

201

47

118

201

47

118

8

261

118

261

67

118

261

255

118

261

255

US Power Grid

1378

1365

2685

1378

1365

2685

1378

1365

1678

651

559

1365

1378

1678

2944

2847

602

932

4422

4436

4419

NRPG data

233

235

238

233

235

238

233

235

238

70

235

213

233

238

70

194

65

56

239

213

215