Instance: bqwh-18-141-53-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: 7,737
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 6 3.51 3.00 27,194 MAX VALUE 9,357.40 1.02 0.29 1.43
Relational linkage 0.50 1.00 0.66 0.67 369.77 0.00 -232.41 0.08 0.12 0.98
Tightness 0.00 0.33 0.13 0.12 121.44 0.00 None 0.06 0.45 2.68
Tuples 2 32 14.08 13.00 13,597 MAX VALUE 2,479.97 5.34 0.38 2.94
Values 1 6 4.00 4.00 564 MAX VALUE 190.26 1.03 0.26 1.43
Value table constraints 12 14 13.70 14.00 1,932 MAX VALUE 368.97 0.52 0.04 0.67
Value table partitions 1 6 4.00 4.00 564 MAX VALUE 190.26 1.03 0.26 1.43
Tree decomposition
Number of clusters: 34
Number of leaves: 17
Tree depth: 4
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-53_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-53_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 42 193 81.03 58.50 2,755 MAX VALUE 146.35 38.04 0.47 2.26
Cluster variables 13 62 24.62 17.00 837 MAX VALUE 104.71 13.69 0.56 2.19
Separator constraints 0 111 52.62 42.00 1,789 0 None 20.49 0.39 2.24
Separator variables 0 46 20.47 14.00 696 0 None 10.18 0.50 2.23
Dual tree decomposition
Number of clusters: 139
Number of leaves: 69
Tree depth: 7
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-53_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-53_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 137 1,779 334.98 234.00 46,562 MAX VALUE 782.24 274.31 0.82 2.87
Cluster variables 23 348 56.43 36.00 7,844 MAX VALUE 524.30 55.99 0.99 2.75
Separator constraints 0 1,132 246.57 162.00 34,273 0 None 176.02 0.71 2.86
Separator variables 0 268 49.48 26.00 6,878 0 None 43.96 0.89 2.75
Primal graph
Density: 9.79%
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-53_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-53_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 65.05 0.00 -109.08 0.00 0.00 0.13
Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.97 0.52 0.04 0.67
Eccentricity 3 3 3.00 3.00 423 MAX VALUE 154.90 0.00 0.00 0.00
Triangulated primal graph
Density: 45.93%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.68 1.00 0.82 0.82 116.27 0.00 -28.14 0.10 0.12 3.61
Degree 12 100 64.30 76.00 9,066 MAX VALUE 562.44 30.49 0.47 3.22
Eccentricity 2 3 2.33 2.00 328 MAX VALUE 116.39 0.47 0.20 0.63
Dual graph
Density: 2.64%
MCB compute time (ms): 96,422
MCB cycles: 14,100
Triangles: 49,986
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-53_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-53_ext/Dual1.pdf

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 0.50 0.50 0.50 481.68 0.00 -672.23 0.00 0.00 0.99
Degree 22 26 25.44 26.00 24,578 MAX VALUE 3,125.84 0.86 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 3.21 3.00 45,284 MAX VALUE 16,342.30 0.43 0.13 0.54
Minimal dual graph
Density: 0.38%
MCB compute time (ms): 22,033
MCB cycles: 834
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 1.20 0.00 None 0.02 14.10 0.04
Degree 2 7 3.71 4.00 3,582 MAX VALUE 1,244.65 0.81 0.22 1.12
Eccentricity 8 12 9.85 10.00 9,516 MAX VALUE 2,207.34 0.70 0.07 1.06
MCB cycle size 3 11 6.74 7.00 5,624 MAX VALUE 1,564.31 1.68 0.25 1.89
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: 6.07%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.52 1.00 0.82 0.79 794.26 0.00 -204.90 0.15 0.18 4.08
Degree 2 255 58.57 8.00 56,582 MAX VALUE 2,639.41 87.39 1.49 3.74
Eccentricity 3 6 4.42 4.00 4,274 MAX VALUE 1,428.45 0.57 0.13 0.85
Incidence graph
Density: 0.32%
MCB compute time (ms): 9,484
MCB cycles: 826
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-53_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-53_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 1,038.55 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