Instance: bqwh-18-141-4-ext
Number of variables: 141
Number of constraints: 966
Satisfiable: None
Timestamp: 2017-10-27 10:41:59
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: 7,347
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 3.33 3.00 24,472 MAX VALUE 8,477.84 0.97 0.29 1.39
Relational linkage 0.50 1.00 0.64 0.67 337.58 0.00 -239.78 0.09 0.13 0.98
Tightness 0.00 0.50 0.13 0.12 121.17 0.00 None 0.06 0.47 2.60
Tuples 2 27 12.67 13.00 12,236 MAX VALUE 2,380.11 4.64 0.37 2.80
Values 1 6 3.80 4.00 536 MAX VALUE 183.07 0.97 0.25 1.38
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 3.80 4.00 536 MAX VALUE 183.07 0.97 0.25 1.38
Tree decomposition
Number of clusters: 34
Number of leaves: 18
Tree depth: 5
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-4_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-4_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 42 174 79.85 56.00 2,715 MAX VALUE 146.11 35.49 0.44 2.26
Cluster variables 13 62 24.62 15.00 837 MAX VALUE 104.65 13.73 0.56 2.15
Separator constraints 0 94 51.44 42.00 1,749 0 None 18.50 0.36 2.26
Separator variables 0 48 20.47 14.00 696 0 None 10.37 0.51 2.11
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-18-141-4_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-4_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 137 1,728 331.25 250.00 46,044 MAX VALUE 782.34 252.21 0.76 2.86
Cluster variables 23 353 56.25 37.00 7,819 MAX VALUE 524.44 54.89 0.98 2.74
Separator constraints 0 932 242.84 162.00 33,755 0 None 154.81 0.64 2.89
Separator variables 0 257 49.30 34.00 6,853 0 None 42.76 0.87 2.71
Primal graph
Density: 9.79%
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-4_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-4_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 4 3.01 3.00 425 MAX VALUE 155.48 0.12 0.04 0.07
Triangulated primal graph
Density: 45.47%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.66 1.00 0.82 0.80 116.25 0.00 -28.21 0.10 0.12 3.62
Degree 12 105 63.66 74.00 8,976 MAX VALUE 560.75 30.48 0.48 3.28
Eccentricity 2 3 2.39 2.00 337 MAX VALUE 120.03 0.49 0.20 0.67
Dual graph
Density: 2.64%
MCB compute time (ms): 235,406
MCB cycles: 12,773
Triangles: 49,986
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-4_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-4_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 24,578 MAX VALUE 3,125.83 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 3.13 3.00 39,938 MAX VALUE 14,494.20 0.35 0.11 0.39
Minimal dual graph
Density: 0.38%
MCB compute time (ms): 19,343
MCB cycles: 833
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 1.00 0.00 0.00 2.60 0.00 None 0.04 14.18 0.07
Degree 2 6 3.71 4.00 3,582 MAX VALUE 1,243.25 0.83 0.22 1.15
Eccentricity 7 12 9.74 10.00 9,411 MAX VALUE 2,196.66 0.68 0.07 1.04
MCB cycle size 3 12 6.69 7.00 5,571 MAX VALUE 1,554.49 1.69 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: 6.30%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.82 0.80 795.02 0.00 -203.61 0.14 0.18 4.08
Degree 2 268 60.82 8.00 58,752 MAX VALUE 2,647.37 90.91 1.49 3.72
Eccentricity 3 5 3.93 4.00 3,797 MAX VALUE 1,311.56 0.58 0.15 0.86
Incidence graph
Density: 0.32%
MCB compute time (ms): 10,764
MCB cycles: 826
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-4_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-4_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 8,717 MAX VALUE 2,283.38 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