Table 4

Topological metrics tested and AUCs

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


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.)

Lewis et al. BMC Systems Biology 2010 4:100   doi:10.1186/1752-0509-4-100

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