Instance: normalized-queen12-12-12_ext
Number of variables: 144
Number of constraints: 2596
Satisfiable: None
Timestamp: 2018-04-21 10:15:23
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 144
Number of constraints: 2596
General features
Number of coarse blocks: 62,304
Number of unique subscopes: 144
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 5,192 MAX VALUE 1,799.41 0.00 0.00 0.00
Coarse blocks size 11 11 11.00 11.00 685,344 MAX VALUE 149,398.00 0.00 0.00 0.00
Relational linkage 0.92 0.92 0.92 0.92 1,584.00 0.00 -150.36 0.00 0.00 0.00
Tightness 0.08 0.08 0.08 0.08 216.33 0.00 -6,450.82 0.00 0.00 0.00
Tuples 132 132 132.00 132.00 342,672 MAX VALUE 12,675.80 0.00 0.00 0.00
Domain size 12 12 12.00 12.00 1,728 MAX VALUE 357.83 0.00 0.00 0.00
Constraints per subscope 33 43 36.06 35.00 5,192 MAX VALUE 515.82 2.81 0.08 1.61
Partitions per subscope 12 12 12.00 12.00 1,728 MAX VALUE 357.83 0.00 0.00 0.00
Tree decomposition
Number of clusters: 26
Number of leaves: 11
Tree depth: 8
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen12-12-12_ext/Tree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen12-12-12_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 233 1,739 854.81 671.50 22,225 MAX VALUE 167.65 600.66 0.70 3.10
Cluster variables 34 118 72.50 69.50 1,885 MAX VALUE 108.20 34.05 0.47 2.63
Separator constraints 0 1,654 754.96 497.00 19,629 0 None 594.21 0.79 3.10
Separator variables 0 115 66.96 59.00 1,741 0 None 35.39 0.53 2.61
Dual tree decomposition
Number of clusters: 142
Number of leaves: 72
Tree depth: 6
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen12-12-12_ext/DualTree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen12-12-12_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 1,066 25,376 3,206.90 1,820.00 455,380 MAX VALUE 1,095.33 3,869.87 1.21 3.52
Cluster variables 65 1,332 179.25 85.00 25,454 MAX VALUE 686.27 212.10 1.18 3.09
Separator constraints 0 15,020 2,562.03 1,655.50 363,808 0 None 2,468.46 0.96 3.52
Separator variables 0 1,024 160.97 82.00 22,858 0 None 167.82 1.04 3.13
Primal graph
Density: 25.21%
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen12-12-12_ext/Primal1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen12-12-12_ext/Primal1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.35 0.39 0.36 0.35 51.49 0.00 -148.14 0.01 0.03 2.85
Degree 33 43 36.06 35.00 5,192 MAX VALUE 515.82 2.81 0.08 1.61
Eccentricity 2 2 2.00 2.00 288 MAX VALUE 99.81 0.00 0.00 0.00
Triangulated primal graph
Density: 85.07%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.91 1.00 0.94 0.94 135.90 0.00 -8.37 0.02 0.02 4.45
Degree 33 136 121.65 132.00 17,518 MAX VALUE 684.67 27.24 0.22 2.65
Eccentricity 2 2 2.00 2.00 288 MAX VALUE 99.81 0.00 0.00 0.00
Dual graph
Density: 2.72%
MCB compute time (ms): None
MCB cycles: None
Triangles: 1,064,190
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen12-12-12_ext/Dual1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen12-12-12_ext/Dual1.pdf

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.51 0.50 0.50 1,295.83 0.00 -1,803.77 0.00 0.00 4.19
Degree 64 84 70.55 70.00 183,144 MAX VALUE 11,044.20 4.49 0.06 2.15
Eccentricity 3 3 3.00 3.00 7,788 MAX VALUE 2,852.00 0.00 0.00 0.00
MCB cycle size None None None None None None None None None None
Minimal dual graph
Density: 0.15%
MCB compute time (ms): None
MCB cycles: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 0.83 0.00 None 0.01 30.55 0.01
Degree 2 8 3.89 4.00 10,096 MAX VALUE 3,460.32 0.91 0.23 1.22
Eccentricity 8 12 9.92 10.00 25,750 MAX VALUE 5,949.72 0.71 0.07 1.07
MCB cycle size None None None None None None None None None None
Triangulated dual graph
Density: None%
Triangles: None
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient None None None None None None None None None None
Degree None None None None None None None None None None
Eccentricity None None None None None None None None None None
Triangulated minimal dual graph
Density: 8.17%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.88 0.90 2,272.41 0.00 -375.28 0.13 0.14 4.58
Degree 2 775 212.01 9.00 550,384 MAX VALUE 8,475.67 317.33 1.50 3.92
Eccentricity 3 5 3.79 4.00 9,835 MAX VALUE 3,430.69 0.54 0.14 0.79
Incidence graph
Density: 0.14%
MCB compute time (ms): None
MCB cycles: None
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen12-12-12_ext/Incidence1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen12-12-12_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 43 3.79 2.00 10,384 MAX VALUE 2,315.23 7.63 2.01 0.29
Eccentricity 5 6 5.95 6.00 16,296 MAX VALUE 4,883.17 0.22 0.04 0.21
MCB cycle size None None None None None None None None None None