Instance: normalized-queen8-12-10_ext
Number of variables: 96
Number of constraints: 1368
Satisfiable: None
Timestamp: 2018-04-21 10:14:50
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 96
Number of constraints: 1368
General features
Number of coarse blocks: 27,360
Number of unique subscopes: 96
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 2,736 MAX VALUE 948.23 0.00 0.00 0.00
Coarse blocks size 9 9 9.00 9.00 246,240 MAX VALUE 60,116.10 0.00 0.00 0.00
Relational linkage 0.90 0.90 0.90 0.90 864.00 0.00 -101.15 0.00 0.00 0.00
Tightness 0.10 0.10 0.10 0.10 136.80 0.00 -3,149.94 0.00 0.00 0.00
Tuples 90 90 90.00 90.00 123,120 MAX VALUE 6,155.74 0.00 0.00 0.00
Domain size 10 10 10.00 10.00 960 MAX VALUE 221.05 0.00 0.00 0.00
Constraints per subscope 25 32 28.50 29.00 2,736 MAX VALUE 321.28 2.29 0.08 1.99
Partitions per subscope 10 10 10.00 10.00 960 MAX VALUE 221.05 0.00 0.00 0.00
Tree decomposition
Number of clusters: 20
Number of leaves: 8
Tree depth: 6
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-12-10_ext/Tree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-12-10_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 151 787 421.00 427.00 8,420 MAX VALUE 117.25 230.72 0.55 2.93
Cluster variables 26 73 48.30 51.50 966 1.11e+33 76.09 17.55 0.36 2.72
Separator constraints 0 666 352.60 318.00 7,052 0 None 225.79 0.64 2.93
Separator variables 0 67 43.50 44.50 870 0 None 19.17 0.44 2.65
Dual tree decomposition
Number of clusters: 94
Number of leaves: 48
Tree depth: 6
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-12-10_ext/DualTree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-12-10_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 610 10,296 1,776.77 1,006.00 167,016 MAX VALUE 676.85 1,747.68 0.98 3.55
Cluster variables 49 692 126.85 63.00 11,924 MAX VALUE 428.25 126.04 0.99 3.21
Separator constraints 0 5,814 1,373.87 944.00 129,144 0 None 1,061.67 0.77 3.55
Separator variables 0 540 112.30 62.00 10,556 0 None 98.24 0.87 3.19
Primal graph
Density: 30.00%
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-12-10_ext/Primal1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-12-10_ext/Primal1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.37 0.42 0.39 0.39 37.17 0.00 -91.14 0.01 0.03 3.00
Degree 25 32 28.50 29.00 2,736 MAX VALUE 321.28 2.29 0.08 1.99
Eccentricity 2 2 2.00 2.00 192 7.92e+28 66.54 0.00 0.00 0.00
Triangulated primal graph
Density: 82.54%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.87 1.00 0.92 0.91 88.49 0.00 -7.88 0.03 0.04 4.26
Degree 25 91 78.42 85.50 7,528 MAX VALUE 414.77 17.60 0.22 2.89
Eccentricity 2 2 2.00 2.00 192 7.92e+28 66.54 0.00 0.00 0.00
Dual graph
Density: 4.05%
MCB compute time (ms): 101,731
MCB cycles: 39,343
Triangles: 344,096
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-12-10_ext/Dual1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-12-10_ext/Dual1.pdf

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.51 0.50 0.50 682.92 0.00 -950.41 0.00 0.00 4.58
Degree 48 62 55.37 56.00 75,744 MAX VALUE 5,488.26 3.59 0.06 2.59
Eccentricity 3 3 3.00 3.00 4,104 MAX VALUE 1,502.90 0.00 0.00 0.00
MCB cycle size 3 3 3.00 3.00 118,029 MAX VALUE 43,222.70 0.00 0.00 0.00
Minimal dual graph
Density: 0.28%
MCB compute time (ms): 123,010
MCB cycles: 1,273
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 1.10 0.00 None 0.01 17.59 0.03
Degree 2 7 3.86 4.00 5,280 MAX VALUE 1,812.30 0.91 0.24 1.22
Eccentricity 7 11 9.22 9.00 12,617 MAX VALUE 3,035.73 0.66 0.07 1.00
MCB cycle size 3 11 7.45 8.00 9,490 MAX VALUE 2,539.90 1.16 0.15 1.51
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: 8.30%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.86 0.86 1,175.47 0.00 -224.05 0.13 0.15 4.29
Degree 2 419 113.43 9.00 155,174 MAX VALUE 4,171.96 164.31 1.45 3.83
Eccentricity 3 5 4.13 4.00 5,644 MAX VALUE 1,924.31 0.59 0.14 0.89
Incidence graph
Density: 0.26%
MCB compute time (ms): 56,057
MCB cycles: 1,273
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-12-10_ext/Incidence1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-12-10_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 32 3.74 2.00 5,472 MAX VALUE 1,269.50 6.59 1.76 0.37
Eccentricity 5 6 5.93 6.00 8,688 MAX VALUE 2,605.63 0.25 0.04 0.24
MCB cycle size 6 6 6.00 6.00 7,638 MAX VALUE 2,280.91 0.00 0.00 0.00