Journals
Publish with us
Publishing partnerships
About us
Blog
Complexity
Journal overview
For authors
For reviewers
For editors
Table of Contents
Special Issues
Complexity
/
2020
/
Article
/
Tab 1
/
Research Article
Degree-Constrained
-
Minimum Spanning Tree Problem
Table 1
Numerical results obtained with
and
for random graphs using
and
.
#
Gaps
Opt
Time
LP
Time
Opt
Time
LP
Time
%
%
1
50
10
46.86
75
0.80
43.38
0.17
46.86
109
1.06
43.38
0.19
7.43
7.43
2
20
113.97
498
0.75
109.46
0.20
113.97
362
0.73
109.46
0.19
3.96
3.96
3
30
204.35
1470
2.79
199.05
0.19
204.35
1911
3.48
199.05
0.17
2.59
2.59
4
50
459.09
1005
1.76
453.49
0.19
459.09
2901
5.74
453.49
0.17
1.22
1.22
5
100
25
115.44
23
1.95
114.63
0.48
115.44
25
1.79
114.63
0.42
0.69
0.69
6
50
263.95
2501
8.30
262.04
0.47
263.95
1872
6.43
262.04
0.42
0.73
0.73
7
75
454.44
3186
5.04
451.58
0.42
454.44
1715
24.23
451.58
0.42
0.63
0.63
8
100
749.75
36160
202.21
745.09
0.45
749.75
65193
338.15
745.09
0.44
0.62
0.62
9
200
50
162.55
1035
10.39
160.88
1.73
162.55
1462
10.86
160.88
1.64
1.03
1.03
10
100
378.43
80814
506.06
374.87
1.67
378.43
94564
518.29
374.87
1.65
0.94
0.94
11
150
652.86
2944093
6417.84
648.89
1.73
652.86
2635764
7200
648.89
1.95
0.61
0.61
12
200
1049.25
403853
7200
1044.74
2.26
1049.25
215415
7200
1044.74
1.78
0.43
0.43
1
50
10
52.22
49
1.58
46.30
0.17
52.22
129
0.61
46.30
0.17
11.34
11.34
2
20
134.08
237
2.06
129.71
0.22
134.08
904
2.57
129.71
0.22
3.26
3.26
3
30
240.30
45
1.26
239.32
0.20
240.30
9
1.26
239.32
0.20
0.41
0.41
4
50
564.37
2948
7.38
557.08
0.19
564.37
1953
7.47
557.08
0.17
1.29
1.29
5
100
25
123.71
404
4.63
121.54
0.48
123.71
148
3.99
121.54
0.45
1.75
1.75
6
50
287.78
1093
37.88
285.31
0.61
287.78
1875
7.75
285.31
0.50
0.86
0.86
7
75
529.56
0
1.92
529.31
0.50
529.56
1
3.99
529.31
0.48
0.05
0.05
8
100
915.29
683
9.75
914.63
0.48
915.29
77
8.14
914.63
0.45
0.07
0.07
9
200
50
184.29
0
12.28
184.29
2.11
184.29
0
7.02
184.29
2.03
0
0
10
100
437.08
6424
99.08
435.45
2.50
437.08
2568
93.76
435.45
2.28
0.37
0.37
11
150
775.89
275
94.08
774.76
2.40
775.89
90
42.20
774.76
2.20
0.15
0.15
12
200
1285.32
190
67.75
1284.58
2.23
1285.32
459
98.28
1284.58
1.89
0.06
0.06