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Table 16 Fagin’s intersection metric between the proposed and the traditional centrality measures and on considered real-world networks given in Table 7

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

Instance name

HADC

\(\hbox {EADC}(\alpha =0.25)\)

\(\hbox {EADC}(\alpha =0.75)\)

BC

CC

DC

EC

BC

CC

DC

EC

BC

CC

DC

EC

soc-gplus

0.3873

0.9108

0.6125

0.7472

0.3751

0.8643

0.6025

0.7626

0.3938

0.9309

0.6151

0.7385

Twitter Lists

0.5074

0.9006

0.3708

0.2617

0.5237

0.7576

0.4133

0.2822

0.5052

0.9161

0.3659

0.2599

soc-hamsterer

0.6296

0.9318

0.7721

0.8624

0.6266

0.909

0.7797

0.8847

0.6317

0.9428

0.7679

0.8499

soc-pages-government

0.3962

0.8576

0.6462

0.6835

0.3802

0.7979

0.6706

0.7401

0.4024

0.8853

0.6307

0.6543

soc-pages-politician

0.4003

0.7377

0.5264

0.5629

0.3317

0.5951

0.6021

0.6447

0.4166

0.7894

0.4984

0.5246

soc-pages-shows

0.3818

0.8164

0.6155

0.7474

0.351

0.7154

0.6712

0.766

0.3912

0.8449

0.5841

0.7176

soc-wiki-elec

0.6856

0.9279

0.8281

0.9099

0.6869

0.92

0.8406

0.9223

0.6841

0.9296

0.8184

0.8993

soc-advogato

0.6855

0.9322

0.7789

0.8504

0.6866

0.9156

0.7907

0.867

0.6842

0.9396

0.7724

0.8416

soc-pages-public-figure

0.4086

0.4934

0.7131

0.563

0.2974

0.3305

0.7534

0.7474

0.4504

0.5715

0.6575

0.478

soc-anybeat

0.489

0.9049

0.7134

0.8538

0.4863

0.893

0.7156

0.863

0.4909

0.9122

0.7118

0.8467

soc-pages-sport

0.554

0.9609

0.5484

0.7228

0.5641

0.9344

0.5653

0.7328

0.551

0.9646

0.5438

0.7191

soc-epinions

0.4379

0.7928

0.7482

0.7065

0.4086

0.739

0.7541

0.7644

0.4508

0.8176

0.7389

0.6782

soc-pages-media

0.5299

0.8232

0.6674

0.8256

0.5213

0.7871

0.6852

0.8472

0.5327

0.8369

0.6599

0.8169

soc-pages-company

0.5619

0.95

0.5353

0.2957

0.5618

0.9123

0.5564

0.3019

0.5614

0.9566

0.531

0.2948

soc-gamesec-RO

0.5634

0.9371

0.4429

0.4533

0.567

0.8887

0.4712

0.4845

0.5634

0.9401

0.4402

0.4483

Average correlation

0.5079

0.8585

0.6346

0.6697

0.4912

0.7973

0.6581

0.7074

0.5140

0.8785

0.6224

0.6512

Standard deviation

0.1056

0.1203

0.1309

0.2032

0.1276

0.1617

0.1220

0.1998

0.0994

0.1007

0.1300

0.2049