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Table 3 Performance of IWDS on non overlapping generated networks with added noise varying from 0.05 to 0.15 (called synthetic2) for \(k=5\), varying \(\alpha\) from 0.05 to 0.9, the running time (in minutes), the density and the distance are averaged over 90 examples

From: A novel algorithm for finding top-k weighted overlapping densest connected subgraphs in dual networks

Noise

\(\alpha =0.05\)

\(\alpha =0.1\)

\(\alpha =0.25\)

\(\alpha =0.5\)

\(\alpha =0.75\)

\(\alpha =0.9\)

0.05

Time

0.0181

0.0181

0.0203

0.0214

0.0222

0.0236

Density

65.46

65.46

65.48

65.53

65.55

65.55

Distance

20

19.998

19.996

19.996

19.991

19.850

F1[t/d]

0.989

1.00

1.00

1.00

1.00

1.00

F1[d/t]

0.990

0.991

0.993

0.996

0.998

0.995

0.10

Time

0.0187

0.0179

0.0207

0.0199

0.0233

0.0238

Density

65.42

65.42

65.53

65.72

65.89

66.00

Distance

19.999

19.999

19.986

19.976

19.960

19.847

F1[t/d]

0.978

0.968

1.00

1.00

1.00

1.00

F1[d/t]

0.960

0.962

0.970

0.982

0.992

0.994

0.15

Time

0.0126

0.0131

0.0164

0.0194

0.0230

0.0241

Density

36.63

39.35

43.03

51.57

59.67

64.47

Distance

19.439

19.111

18.218

18.112

18.083

18.056

F1[t/d]

0.93

0.95

0.93

0.98

0.95

0.94

F1[d/t]

0.41

0.47

0.54

0.70

0.85

0.94