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Table 4 Topological metrics tested and AUCs

From: The function of communities in protein interaction networks at multiple scales

 

A

P

Network topology measure

G

C

M

G

C

M

Mean degree

0.6476

0.6476

0.6142

0.5130

0.5373

0.5387

Degree assortativity coefficient [58]

0.6913

0.6913

0.6277

0.4799

0.5517

0.5181

Clustering coefficient[59]

0.7186

0.7186

0.6613

0.5521

0.5829

0.5725

Global mean Soffer clustering coefficient [60]

0.4857

0.4857

0.4819

0.3915

0.4735

0.4461

Local mean Soffer clustering coefficient [60]

0.4784

0.4784

0.4662

0.3892

0.4654

0.4540

Mean geodesic node betweenness centrality [61]

0.4600

0.4600

0.4973

0.5045

0.5094

0.4959

Mean closeness centrality [61]

0.5275

0.5275

0.5524

0.4877

0.4919

0.4815

Mean eigenvector centrality [61]

0.5601

0.5601

0.5722

0.5312

0.5551

0.5246

Mean information centrality [61]

0.5191

0.5191

0.5429

0.5253

0.5456

0.5170

Mean geodesic distance [59]

0.3839

0.3839

0.3717

0.4274

0.4945

0.5066

Diameter [61]

0.4457

0.4457

0.4042

0.4366

0.5004

0.5079

Mean harmonic geodesic distance [59]

0.4088

0.4088

0.4042

0.5024

0.4834

0.4995

Energy [59]

0.5237

0.5237

0.4982

0.4568

0.4976

0.5114

Entropy [59]

0.5655

0.5655

0.5327

0.5077

0.5127

0.5280

Off-diagonal complexity [62]

0.5941

0.5941

0.5457

0.5081

0.5054

0.5237

Cyclomatic number [62]

0.6331

0.6331

0.5733

0.5173

0.5300

0.5425

Connectivity [62]

0.6437

0.6437

0.5766

0.5245

0.5334

0.5468

Number of spanning trees [62]

0.4525

0.4525

0.4531

0.4451

0.4516

0.4491

Medium articulation [62]

0.5659

0.5659

0.4463

0.5295

0.5070

0.5592

Efficiency complexity [62]

0.5316

0.5316

0.5343

0.4911

0.4945

0.4982

Graph index complexity [62]

0.6564

0.6564

0.6492

0.5211

0.5469

0.5250

Density

0.6541

0.6541

0.6553

0.5277

0.5676

0.5235

Efficiency [63]

0.5790

0.5790

0.5896

0.4964

0.5071

0.4865

Fraction of articulation vertices [64]

0.5065

0.5065

0.5028

0.5216

0.5062

0.5091

Largest eigenvalue

0.6054

0.6054

0.5663

0.4941

0.5041

0.5185

Rich club coefficient [65]

0.5428

0.5428

0.5896

0.4988

0.5209

0.4868

  1. The network topology measures tested and their associated AUCs. We report the results for using each of these as a predictor for functional homogeneity as judged under the three measures of functional similarity (GO, G, correlated growth rates, C, and MIPS, M) for both the A and P networks. The AUCs are given as the average performance over the range 0 ≤ log(λ) ≤ 3. The clustering coefficient (definition given in the text, equation 9) is the best predictor in all cases. (The topological properties were computed from code developed by Gabriel Villar.)