Instance: bqwh-18-141-57-ext
Number of variables: 141
Number of constraints: 966
Satisfiable: None
Timestamp: 2017-10-27 10:41:55
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: 6,997
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 3.19 3.00 22,338 MAX VALUE 7,700.37 1.01 0.32 1.43
Relational linkage 0.50 1.00 0.62 0.67 310.35 0.00 -249.19 0.10 0.16 1.03
Tightness 0.00 0.50 0.12 0.12 115.01 0.00 None 0.07 0.58 2.65
Tuples 1 27 11.56 11.00 11,169 MAX VALUE 2,271.01 4.75 0.41 2.87
Values 1 6 3.62 4.00 510 MAX VALUE 174.50 1.04 0.29 1.44
Value table constraints 12 14 13.70 14.00 1,932 MAX VALUE 368.98 0.49 0.04 0.65
Value table partitions 1 6 3.62 4.00 510 MAX VALUE 174.50 1.04 0.29 1.44
Tree decomposition
Number of clusters: 34
Number of leaves: 17
Tree depth: 5
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-57_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-57_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 42 197 81.53 61.50 2,772 MAX VALUE 146.56 38.55 0.47 2.40
Cluster variables 13 66 24.85 17.50 845 MAX VALUE 104.88 14.19 0.57 2.24
Separator constraints 0 112 53.12 42.00 1,806 0 None 20.74 0.39 2.36
Separator variables 0 51 20.71 14.00 704 0 None 10.74 0.52 2.24
Dual tree decomposition
Number of clusters: 139
Number of leaves: 70
Tree depth: 7
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-57_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-57_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 137 1,521 320.45 188.00 44,542 MAX VALUE 779.91 231.43 0.72 2.79
Cluster variables 23 310 54.70 27.00 7,604 MAX VALUE 522.75 50.99 0.93 2.61
Separator constraints 0 887 232.05 162.00 32,255 0 None 144.18 0.62 2.77
Separator variables 0 235 47.76 26.00 6,638 0 None 39.53 0.83 2.63
Primal graph
Density: 9.79%
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-57_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-57_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 -109.05 0.00 0.00 0.07
Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.98 0.49 0.04 0.65
Eccentricity 3 3 3.00 3.00 423 MAX VALUE 154.90 0.00 0.00 0.00
Triangulated primal graph
Density: 46.64%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.68 1.00 0.83 0.80 116.82 0.00 -27.38 0.09 0.11 3.97
Degree 12 105 65.29 80.00 9,206 MAX VALUE 563.96 31.22 0.48 3.43
Eccentricity 2 3 2.30 2.00 324 MAX VALUE 114.76 0.46 0.20 0.61
Dual graph
Density: 2.64%
MCB compute time (ms): 186,883
MCB cycles: 12,805
Triangles: 49,962
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-57_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-57_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 0.98
Degree 22 26 25.44 26.00 24,574 MAX VALUE 3,125.75 0.80 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 40,040 MAX VALUE 14,532.90 0.34 0.11 0.39
Minimal dual graph
Density: 0.38%
MCB compute time (ms): 20,198
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 1,243.88 0.82 0.22 1.14
Eccentricity 8 12 9.84 10.00 9,504 MAX VALUE 2,205.94 0.72 0.07 1.09
MCB cycle size 3 11 6.73 7.00 5,604 MAX VALUE 1,560.30 1.66 0.25 1.85
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: 6.54%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.50 1.00 0.83 0.80 801.44 0.00 -195.98 0.15 0.18 4.07
Degree 2 262 63.07 8.00 60,930 MAX VALUE 2,658.32 94.50 1.50 3.61
Eccentricity 3 5 3.93 4.00 3,793 MAX VALUE 1,310.86 0.57 0.14 0.85
Incidence graph
Density: 0.32%
MCB compute time (ms): 8,330
MCB cycles: 826
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-57_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-57_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 0.46
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