Instance: bqwh-18-141-59-ext
Number of variables: 141
Number of constraints: 966
Satisfiable: None
Timestamp: 2017-10-27 10:41:56
Stampede: v1.0.0-797-g05e223c
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 141
Number of constraints: 966
General features
Coarse blocks: 7,286
Value tables: 141
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 1,932 MAX VALUE 669.58 0.00 0.00 0.00
Coarse blocks size 1 7 3.34 3.00 24,322 MAX VALUE 8,347.69 1.07 0.32 1.48
Relational linkage 0.50 1.00 0.64 0.67 331.60 0.00 -237.96 0.09 0.14 1.02
Tightness 0.00 0.33 0.12 0.12 116.72 0.00 None 0.06 0.52 2.69
Tuples 1 37 12.59 12.00 12,161 MAX VALUE 2,344.74 5.45 0.43 2.96
Values 1 7 3.77 4.00 532 MAX VALUE 180.12 1.11 0.29 1.50
Value table constraints 12 14 13.70 14.00 1,932 MAX VALUE 368.98 0.50 0.04 0.66
Value table partitions 1 7 3.77 4.00 532 MAX VALUE 180.12 1.11 0.29 1.50
Tree decomposition
Number of clusters: 34
Number of leaves: 18
Tree depth: 4
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-59_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-59_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 42 165 79.50 56.00 2,703 MAX VALUE 146.03 34.41 0.43 2.24
Cluster variables 13 61 24.26 15.00 825 MAX VALUE 104.36 13.18 0.54 2.08
Separator constraints 0 82 51.09 42.00 1,737 0 None 17.75 0.35 2.18
Separator variables 0 44 20.12 14.00 684 0 None 9.74 0.48 2.08
Dual tree decomposition
Number of clusters: 139
Number of leaves: 68
Tree depth: 7
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-59_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-59_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 137 1,668 339.44 260.00 47,182 MAX VALUE 783.30 280.46 0.83 2.84
Cluster variables 23 339 56.94 38.00 7,915 MAX VALUE 525.01 57.00 1.00 2.74
Separator constraints 0 1,056 251.04 162.00 34,894 0 None 180.97 0.72 2.88
Separator variables 0 265 49.99 36.00 6,949 0 None 44.82 0.90 2.73
Primal graph
Density: 9.79%
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-59_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-59_ext/Primal1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 0.46 0.46 0.46 65.06 0.00 -109.07 0.00 0.00 0.10
Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.98 0.50 0.04 0.66
Eccentricity 3 3 3.00 3.00 423 MAX VALUE 154.90 0.00 0.00 0.00
Triangulated primal graph
Density: 44.59%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.68 1.00 0.82 0.79 115.61 0.00 -29.08 0.10 0.12 3.34
Degree 12 100 62.43 72.00 8,802 MAX VALUE 558.44 29.82 0.48 2.86
Eccentricity 2 3 2.33 2.00 329 MAX VALUE 116.79 0.47 0.20 0.64
Dual graph
Density: 2.64%
MCB compute time (ms): 209,910
MCB cycles: 12,896
Triangles: 49,974
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-59_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-59_ext/Dual1.pdf

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 0.50 0.50 0.50 481.67 0.00 -672.24 0.00 0.00 0.99
Degree 22 26 25.44 26.00 24,576 MAX VALUE 3,125.79 0.83 0.03 1.00
Eccentricity 4 4 4.00 4.00 3,864 MAX VALUE 1,339.16 0.00 0.00 0.00
MCB cycle size 3 5 3.13 3.00 40,415 MAX VALUE 14,661.40 0.35 0.11 0.40
Minimal dual graph
Density: 0.38%
MCB compute time (ms): 18,830
MCB cycles: 837
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 18.62 0.02
Degree 2 6 3.71 4.00 3,582 MAX VALUE 1,244.15 0.81 0.22 1.14
Eccentricity 8 12 9.92 10.00 9,578 MAX VALUE 2,213.49 0.72 0.07 1.09
MCB cycle size 3 12 6.78 7.00 5,673 MAX VALUE 1,575.90 1.61 0.24 1.83
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: 6.21%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.51 1.00 0.82 0.80 794.72 0.00 -204.25 0.15 0.18 4.10
Degree 2 258 59.90 8.00 57,868 MAX VALUE 2,643.03 89.81 1.50 3.69
Eccentricity 3 6 4.22 4.00 4,080 MAX VALUE 1,381.43 0.61 0.14 0.91
Incidence graph
Density: 0.32%
MCB compute time (ms): 8,622
MCB cycles: 826
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-59_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-59_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 14 3.49 2.00 3,864 MAX VALUE 1,038.56 3.91 1.12 0.47
Eccentricity 7 8 7.87 8.00 8,715 MAX VALUE 2,283.11 0.33 0.04 0.38
MCB cycle size 6 8 6.26 6.00 5,168 MAX VALUE 1,510.49 0.67 0.11 0.38