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Table 2 Runtime comparison in the PPI network \(\mathcal {G}\)

From: Mining contextually meaningful subgraphs from a vertex-attributed graph

\(\delta\)

\(|\mathcal {M_{G,\delta }}|\)

\(|\mathcal {C_{G,\delta }}|\)

RSSP-maximal (t\(_r\) sec)

CSMiner-maximal (t\(_{cm}\) sec)

CSMiner-closed (t\(_{cc}\) sec)

t\(_r/\)t\(_{cc}\)

t\(_{cm}/\)t\(_{cc}\)

1

1060

85,262

6,350.10

655.50

653.80

9.71

1.00

2

1647

84,978

3,489.30

432.70

430.10

8.11

1.01

3

2727

84,435

1,963.30

307.40

306.00

6.42

1.00

4

5136

83,067

1,050.80

219.37

218.40

4.81

1.00

5

9695

79,422

513.20

150.20

149.80

3.43

1.00

6

15,341

71,272

256.74

93.49

93.65

2.74

1.00

7

18,974

57,495

102.19

51.49

51.40

1.99

1.00

8

17,844

40,027

43.97

24.30

24.18

1.82

1.00

9

12,853

23,587

15.47

10.06

9.95

1.55

1.01

10

7391

11,931

4.95

3.82

3.79

1.31

1.01

11

3740

5490

1.77

1.51

1.50

1.18

1.01

12

1798

2453

0.81

0.77

0.78

1.04

0.99