Instance: normalized-games120-7_ext
Number of variables: 120
Number of constraints: 638
Satisfiable: None
Timestamp: 2018-04-21 10:13:00
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0
Component #1
Number of variables: 120
Number of constraints: 638
General features
Number of coarse blocks: 8,932
Number of unique subscopes: 120
Feature |
min |
max |
mean |
median |
sum |
prod |
ln(prod) |
std_dev |
COV |
ENT |
Arity |
2 |
2 |
2.00 |
2.00 |
1,276 |
MAX VALUE |
442.23 |
0.00 |
0.00 |
0.00 |
Coarse blocks size |
6 |
6 |
6.00 |
6.00 |
53,592 |
MAX VALUE |
16,004.00 |
0.00 |
0.00 |
0.00 |
Relational linkage |
0.86 |
0.86 |
0.86 |
0.86 |
720.00 |
0.00 |
-129.49 |
0.00 |
0.00 |
0.00 |
Tightness |
0.14 |
0.14 |
0.14 |
0.14 |
91.14 |
0.00 |
-1,241.49 |
0.00 |
0.00 |
0.00 |
Tuples |
42 |
42 |
42.00 |
42.00 |
26,796 |
MAX VALUE |
2,384.63 |
0.00 |
0.00 |
0.00 |
Domain size |
7 |
7 |
7.00 |
7.00 |
840 |
MAX VALUE |
233.51 |
0.00 |
0.00 |
0.00 |
Constraints per subscope |
7 |
13 |
10.63 |
11.00 |
1,276 |
MAX VALUE |
282.88 |
1.20 |
0.11 |
1.57 |
Partitions per subscope |
7 |
7 |
7.00 |
7.00 |
840 |
MAX VALUE |
233.51 |
0.00 |
0.00 |
0.00 |
Tree decomposition
Number of clusters: 65
Number of leaves: 14
Tree depth: 11
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-gamesExtConvert/normalized-games120-7_ext/Tree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-gamesExtConvert/normalized-games120-7_ext/Tree1.pdf
Feature |
min |
max |
mean |
median |
sum |
prod |
ln(prod) |
std_dev |
COV |
ENT |
Cluster constraints |
2 |
83 |
33.35 |
30.00 |
2,168 |
MAX VALUE |
219.44 |
15.71 |
0.47 |
3.49 |
Cluster variables |
3 |
41 |
16.29 |
13.00 |
1,059 |
MAX VALUE |
173.56 |
8.60 |
0.53 |
2.88 |
Separator constraints |
0 |
67 |
23.54 |
22.00 |
1,530 |
0 |
None |
14.26 |
0.61 |
3.33 |
Separator variables |
0 |
35 |
14.45 |
12.00 |
939 |
0 |
None |
8.05 |
0.56 |
2.86 |
Dual tree decomposition
Number of clusters: 117
Number of leaves: 59
Tree depth: 8
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-gamesExtConvert/normalized-games120-7_ext/DualTree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-gamesExtConvert/normalized-games120-7_ext/DualTree1.pdf
Feature |
min |
max |
mean |
median |
sum |
prod |
ln(prod) |
std_dev |
COV |
ENT |
Cluster constraints |
57 |
319 |
150.48 |
138.00 |
17,606 |
MAX VALUE |
578.05 |
57.86 |
0.38 |
4.27 |
Cluster variables |
15 |
103 |
32.69 |
24.00 |
3,825 |
MAX VALUE |
394.57 |
17.82 |
0.55 |
3.42 |
Separator constraints |
0 |
208 |
97.21 |
96.00 |
11,374 |
0 |
None |
34.42 |
0.35 |
4.10 |
Separator variables |
0 |
72 |
27.24 |
22.00 |
3,187 |
0 |
None |
12.92 |
0.47 |
3.28 |
Primal graph
Density: 8.94%
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-gamesExtConvert/normalized-games120-7_ext/Primal1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-gamesExtConvert/normalized-games120-7_ext/Primal1.pdf
Feature |
min |
max |
mean |
median |
sum |
prod |
ln(prod) |
std_dev |
COV |
ENT |
Clustering coefficient |
0.07 |
0.78 |
0.44 |
0.44 |
53.37 |
0.00 |
-107.22 |
0.16 |
0.36 |
3.90 |
Degree |
7 |
13 |
10.63 |
11.00 |
1,276 |
MAX VALUE |
282.88 |
1.20 |
0.11 |
1.57 |
Eccentricity |
3 |
6 |
4.78 |
5.00 |
573 |
MAX VALUE |
186.51 |
0.63 |
0.13 |
0.94 |
Triangulated primal graph
Density: 29.19%
Feature |
min |
max |
mean |
median |
sum |
prod |
ln(prod) |
std_dev |
COV |
ENT |
Clustering coefficient |
0.57 |
1.00 |
0.82 |
0.80 |
98.50 |
0.00 |
-25.01 |
0.12 |
0.15 |
4.32 |
Degree |
7 |
74 |
34.73 |
26.00 |
4,168 |
MAX VALUE |
394.05 |
22.61 |
0.65 |
3.63 |
Eccentricity |
2 |
4 |
3.51 |
4.00 |
421 |
MAX VALUE |
149.26 |
0.52 |
0.15 |
0.73 |
Dual graph
Density: 3.07%
MCB compute time (ms): 49,197
MCB cycles: 5,687
Triangles: 19,399
Dot-file path:
/mnt/hdd/graphFiles/graphColoring-sgb-gamesExtConvert/normalized-games120-7_ext/Dual1.dot
PDF-file path:
/mnt/hdd/graphFiles/graphColoring-sgb-gamesExtConvert/normalized-games120-7_ext/Dual1.pdf
Feature |
min |
max |
mean |
median |
sum |
prod |
ln(prod) |
std_dev |
COV |
ENT |
Clustering coefficient |
0.47 |
0.53 |
0.50 |
0.50 |
318.74 |
0.00 |
-443.03 |
0.01 |
0.03 |
3.88 |
Degree |
14 |
24 |
19.54 |
20.00 |
12,464 |
MAX VALUE |
1,893.22 |
1.88 |
0.10 |
2.02 |
Eccentricity |
4 |
7 |
5.36 |
5.00 |
3,419 |
MAX VALUE |
1,065.31 |
0.70 |
0.13 |
1.06 |
MCB cycle size |
3 |
5 |
3.03 |
3.00 |
17,217 |
MAX VALUE |
6,292.56 |
0.17 |
0.05 |
0.13 |
Minimal dual graph
Density: 0.57%
MCB compute time (ms): 4,063
MCB cycles: 519
Feature |
min |
max |
mean |
median |
sum |
prod |
ln(prod) |
std_dev |
COV |
ENT |
Clustering coefficient |
0.00 |
0.33 |
0.00 |
0.00 |
1.70 |
0.00 |
None |
0.02 |
7.97 |
0.11 |
Degree |
2 |
6 |
3.62 |
3.00 |
2,312 |
MAX VALUE |
807.40 |
0.77 |
0.21 |
1.11 |
Eccentricity |
8 |
14 |
11.26 |
11.00 |
7,185 |
MAX VALUE |
1,540.70 |
1.27 |
0.11 |
1.61 |
MCB cycle size |
3 |
11 |
6.76 |
7.00 |
3,508 |
MAX VALUE |
976.75 |
1.56 |
0.23 |
1.84 |
Triangulated dual graph
Density: 13.58%
Triangles: 734,156
Feature |
min |
max |
mean |
median |
sum |
prod |
ln(prod) |
std_dev |
COV |
ENT |
Clustering coefficient |
0.45 |
1.00 |
0.79 |
0.83 |
505.12 |
0.00 |
-162.22 |
0.15 |
0.19 |
5.18 |
Degree |
14 |
244 |
86.53 |
57.00 |
55,204 |
MAX VALUE |
2,688.15 |
61.23 |
0.71 |
4.48 |
Eccentricity |
3 |
5 |
3.80 |
4.00 |
2,425 |
MAX VALUE |
845.79 |
0.51 |
0.13 |
0.75 |
Triangulated minimal dual graph
Density: 5.30%
Feature |
min |
max |
mean |
median |
sum |
prod |
ln(prod) |
std_dev |
COV |
ENT |
Clustering coefficient |
0.42 |
1.00 |
0.80 |
0.75 |
509.92 |
0.00 |
-156.09 |
0.16 |
0.20 |
3.83 |
Degree |
2 |
161 |
33.76 |
7.00 |
21,542 |
MAX VALUE |
1,591.95 |
47.92 |
1.42 |
3.54 |
Eccentricity |
4 |
7 |
6.09 |
6.00 |
3,888 |
MAX VALUE |
1,148.92 |
0.68 |
0.11 |
1.02 |
Incidence graph
Density: 0.44%
MCB compute time (ms): 3,008
MCB cycles: 519
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-gamesExtConvert/normalized-games120-7_ext/Incidence1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-gamesExtConvert/normalized-games120-7_ext/Incidence1.pdf
Feature |
min |
max |
mean |
median |
sum |
prod |
ln(prod) |
std_dev |
COV |
ENT |
Clustering coefficient |
0.00 |
0.00 |
0.00 |
0.00 |
0.00 |
0.00 |
None |
0.00 |
None |
0.00 |
Degree |
2 |
13 |
3.37 |
2.00 |
2,552 |
MAX VALUE |
725.11 |
3.19 |
0.95 |
0.69 |
Eccentricity |
7 |
14 |
10.79 |
11.00 |
8,182 |
MAX VALUE |
1,797.44 |
1.31 |
0.12 |
1.55 |
MCB cycle size |
6 |
10 |
6.42 |
6.00 |
3,334 |
MAX VALUE |
961.44 |
0.84 |
0.13 |
0.53 |
None