Instance: bqwh-18-141-56-ext
Number of variables: 141
Number of constraints: 966
Satisfiable: None
Timestamp: 2017-10-27 10:42:03
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: 7,126
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 3.25 3.00 23,138 MAX VALUE 8,062.62 0.93 0.29 1.35
Relational linkage 0.50 0.80 0.63 0.67 328.05 0.00 -242.90 0.08 0.13 0.89
Tightness 0.00 0.33 0.12 0.12 116.22 0.00 None 0.06 0.52 2.67
Tuples 3 26 11.98 11.00 11,569 MAX VALUE 2,331.46 4.34 0.36 2.75
Values 2 7 3.68 4.00 519 MAX VALUE 179.06 0.92 0.25 1.32
Value table constraints 12 14 13.70 14.00 1,932 MAX VALUE 368.96 0.53 0.04 0.68
Value table partitions 2 7 3.68 4.00 519 MAX VALUE 179.06 0.92 0.25 1.32
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-18-141-56_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-56_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 42 191 82.15 56.00 2,793 MAX VALUE 146.56 40.44 0.49 2.10
Cluster variables 13 66 24.79 15.00 843 MAX VALUE 104.68 14.38 0.58 1.90
Separator constraints 0 105 53.74 42.00 1,827 0 None 22.20 0.41 2.10
Separator variables 0 50 20.65 14.00 702 0 None 10.84 0.53 1.90
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-18-141-56_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-56_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 137 1,943 339.58 234.00 47,201 MAX VALUE 783.25 283.88 0.84 2.94
Cluster variables 23 356 56.84 37.00 7,901 MAX VALUE 524.84 56.95 1.00 2.78
Separator constraints 0 1,199 251.16 162.00 34,911 0 None 182.67 0.73 2.95
Separator variables 0 280 49.89 26.00 6,935 0 None 44.74 0.90 2.81
Primal graph
Density: 9.79%
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-56_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-56_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 65.04 0.00 -109.10 0.00 0.00 0.15
Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.96 0.53 0.04 0.68
Eccentricity 3 3 3.00 3.00 423 MAX VALUE 154.90 0.00 0.00 0.00
Triangulated primal graph
Density: 47.10%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.71 1.00 0.83 0.80 117.05 0.00 -27.08 0.09 0.11 3.21
Degree 12 102 65.94 76.00 9,298 MAX VALUE 565.07 31.44 0.48 2.82
Eccentricity 2 3 2.34 2.00 330 MAX VALUE 117.20 0.47 0.20 0.64
Dual graph
Density: 2.64%
MCB compute time (ms): 24,526
MCB cycles: 19,132
Triangles: 49,998
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-56_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-56_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 -672.25 0.00 0.00 0.98
Degree 22 26 25.45 26.00 24,580 MAX VALUE 3,125.87 0.89 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 6 3.48 3.00 66,524 MAX VALUE 23,566.10 0.61 0.18 0.86
Minimal dual graph
Density: 0.38%
MCB compute time (ms): 23,880
MCB cycles: 833
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 1,244.13 0.81 0.22 1.13
Eccentricity 8 12 9.79 10.00 9,453 MAX VALUE 2,200.85 0.71 0.07 1.07
MCB cycle size 3 11 6.77 7.00 5,643 MAX VALUE 1,566.99 1.65 0.24 1.86
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: 6.51%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.83 0.80 801.24 0.00 -195.77 0.14 0.17 4.08
Degree 2 263 62.86 8.00 60,724 MAX VALUE 2,662.43 93.63 1.49 3.63
Eccentricity 3 6 4.71 5.00 4,546 MAX VALUE 1,489.12 0.56 0.12 0.84
Incidence graph
Density: 0.32%
MCB compute time (ms): 10,090
MCB cycles: 826
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-56_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-56_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