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Table 4 Result of algorithms on large graphs

From: Solving the k-dominating set problem on very large-scale networks

Data

\(\text{HEU}_1\)

\(\text{HEU}_3\)

\(\text{HEU}_4\)

Sol

T (s)

Sol

T (s)

Sol

T (s)

\(k = 1\)

 soc-delicious

215261

19.07

56066

1464.84

56600

5679.63

 soc-flixster

1452450

999

_

_

91543

27374.44

 hugebubbles

1213638

2087.83

_

_

1169394

7498.20

soc-livejournal

1538044

2689.72

_

_

930632

75185.96

 soc-partner-1

6263241

64228.04

_

_

29278

26740.42

 soc-partner-2

4129393

19109

_

_

38303

38644.65

\(k = 2\)

 soc-delicious

34516

3.57

_

_

8155

2064.00

 soc-flixster

48789

85.93

_

_

9860

23694.58

 hugebubbles

943233

792.96

_

_

777960

41874.54

 soc-livejournal

447552

1582.87

_

_

189121

16728.22

 soc-partner-1

11102

59.78

_

_

12200

31962.21

 soc-partner-2

20343

84.15

_

_

19896

27159.79

\(k = 3\)

 soc-delicious

14806

2.44

_

_

1505

1695.77

 soc-flixster

20996

29.71

_

_

313

3333.45

 hugebubbles

843077

649.47

_

_

688817

17221.76

 soc-livejournal

211894

394.98

_

_

83710

42600.51

 soc-partner-1

6337

55.57

_

_

5158

5200.14

 soc-partner-2

12807

78.3

_

_

10905

5481.59