Instance: normalized-queen9-9-8_ext
Number of variables: 81
Number of constraints: 1056
Satisfiable: None
Timestamp: 2018-04-21 10:14:43
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 81
Number of constraints: 1056
General features
Number of coarse blocks: 16,896
Number of unique subscopes: 81
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 2,112 MAX VALUE 731.96 0.00 0.00 0.00
Coarse blocks size 7 7 7.00 7.00 118,272 MAX VALUE 32,878.10 0.00 0.00 0.00
Relational linkage 0.88 0.88 0.88 0.88 567.00 0.00 -86.53 0.00 0.00 0.00
Tightness 0.12 0.12 0.12 0.12 132.00 0.00 -2,195.89 0.00 0.00 0.00
Tuples 56 56 56.00 56.00 59,136 MAX VALUE 4,250.77 0.00 0.00 0.00
Domain size 8 8 8.00 8.00 648 MAX VALUE 168.44 0.00 0.00 0.00
Constraints per subscope 24 32 26.07 26.00 2,112 MAX VALUE 263.88 2.10 0.08 1.33
Partitions per subscope 8 8 8.00 8.00 648 MAX VALUE 168.44 0.00 0.00 0.00
Tree decomposition
Number of clusters: 16
Number of leaves: 7
Tree depth: 4
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen9-9-8_ext/Tree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen9-9-8_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 132 702 313.31 247.50 5,013 MAX VALUE 89.21 183.19 0.58 2.69
Cluster variables 25 66 40.19 37.50 643 1.72e+25 58.11 14.17 0.35 2.36
Separator constraints 0 539 247.31 183.50 3,957 0 None 167.78 0.68 2.69
Separator variables 0 58 35.12 32.00 562 0 None 15.45 0.44 2.36
Dual tree decomposition
Number of clusters: 79
Number of leaves: 40
Tree depth: 6
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen9-9-8_ext/DualTree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen9-9-8_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 561 7,722 1,464.27 883.00 115,677 MAX VALUE 553.98 1,411.69 0.96 3.16
Cluster variables 47 568 113.14 59.00 8,938 MAX VALUE 352.11 106.84 0.94 2.89
Separator constraints 0 4,480 1,126.85 825.00 89,021 0 None 852.74 0.76 3.18
Separator variables 0 432 99.77 58.00 7,882 0 None 82.88 0.83 2.83
Primal graph
Density: 32.59%
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen9-9-8_ext/Primal1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen9-9-8_ext/Primal1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.38 0.42 0.39 0.39 31.56 0.00 -76.38 0.01 0.02 2.45
Degree 24 32 26.07 26.00 2,112 MAX VALUE 263.88 2.10 0.08 1.33
Eccentricity 2 2 2.00 2.00 162 2.42e+24 56.14 0.00 0.00 0.00
Triangulated primal graph
Density: 83.55%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.88 1.00 0.93 0.92 75.11 0.00 -6.16 0.03 0.03 4.09
Degree 24 76 66.84 73.00 5,414 MAX VALUE 337.20 14.79 0.22 2.44
Eccentricity 2 2 2.00 2.00 162 2.42e+24 56.14 0.00 0.00 0.00
Dual graph
Density: 4.79%
MCB compute time (ms): 49,240
MCB cycles: 27,211
Triangles: 220,480
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen9-9-8_ext/Dual1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen9-9-8_ext/Dual1.pdf

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.51 0.50 0.50 527.09 0.00 -733.80 0.00 0.00 3.60
Degree 46 60 50.48 50.00 53,312 MAX VALUE 4,139.05 3.31 0.07 1.84
Eccentricity 3 3 3.00 3.00 3,168 MAX VALUE 1,160.13 0.00 0.00 0.00
MCB cycle size 3 3 3.00 3.00 81,633 MAX VALUE 29,894.30 0.00 0.00 0.00
Minimal dual graph
Density: 0.36%
MCB compute time (ms): 41,633
MCB cycles: 976
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 0.02 19.47 0.02
Degree 2 7 3.85 4.00 4,062 MAX VALUE 1,396.23 0.90 0.23 1.21
Eccentricity 7 10 8.83 9.00 9,326 MAX VALUE 2,297.50 0.64 0.07 0.97
MCB cycle size 3 10 7.37 8.00 7,191 MAX VALUE 1,933.99 1.21 0.16 1.53
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: 8.65%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.86 0.86 905.55 0.00 -175.25 0.13 0.15 4.18
Degree 2 330 91.25 9.00 96,358 MAX VALUE 3,139.39 128.99 1.41 3.68
Eccentricity 3 5 3.79 4.00 4,003 MAX VALUE 1,395.83 0.55 0.14 0.81
Incidence graph
Density: 0.33%
MCB compute time (ms): 16,990
MCB cycles: 976
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen9-9-8_ext/Incidence1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen9-9-8_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 3.72 2.00 4,224 MAX VALUE 995.85 6.22 1.67 0.35
Eccentricity 5 6 5.93 6.00 6,741 MAX VALUE 2,022.46 0.26 0.04 0.26
MCB cycle size 6 6 6.00 6.00 5,856 MAX VALUE 1,748.76 0.00 0.00 0.00