Instance: bqwh-18-141-82-ext
Number of variables: 141
Number of constraints: 966
Satisfiable: None
Timestamp: 2017-10-27 10:42:11
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: 7,209
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 3.28 3.00 23,630 MAX VALUE 8,199.58 0.97 0.30 1.38
Relational linkage 0.50 0.80 0.64 0.67 331.38 0.00 -239.12 0.08 0.13 0.93
Tightness 0.00 0.33 0.12 0.12 115.27 0.00 None 0.06 0.50 2.62
Tuples 3 30 12.23 12.00 11,815 MAX VALUE 2,349.29 4.51 0.37 2.78
Values 1 7 3.73 4.00 526 MAX VALUE 180.38 0.97 0.26 1.38
Value table constraints 12 14 13.70 14.00 1,932 MAX VALUE 368.99 0.47 0.03 0.64
Value table partitions 1 7 3.73 4.00 526 MAX VALUE 180.38 0.97 0.26 1.38
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-18-141-82_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-82_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 42 168 80.03 61.00 2,721 MAX VALUE 146.30 34.37 0.43 2.45
Cluster variables 13 61 24.35 17.50 828 MAX VALUE 104.57 13.07 0.54 2.25
Separator constraints 0 86 51.62 42.00 1,755 0 None 17.66 0.34 2.45
Separator variables 0 44 20.21 14.00 687 0 None 9.64 0.48 2.29
Dual tree decomposition
Number of clusters: 139
Number of leaves: 69
Tree depth: 6
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-82_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-82_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 149 1,427 318.21 238.00 44,231 MAX VALUE 780.14 217.40 0.68 2.95
Cluster variables 24 313 54.54 36.00 7,581 MAX VALUE 522.85 50.18 0.92 2.71
Separator constraints 0 791 229.82 162.00 31,945 0 None 131.91 0.57 2.89
Separator variables 0 219 47.59 26.00 6,615 0 None 38.78 0.81 2.74
Primal graph
Density: 9.79%
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-82_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-82_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 65.07 0.00 -109.03 0.00 0.00 0.04
Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.99 0.47 0.03 0.64
Eccentricity 3 4 3.07 3.00 433 MAX VALUE 157.78 0.26 0.08 0.26
Triangulated primal graph
Density: 44.54%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.68 1.00 0.82 0.78 115.54 0.00 -29.17 0.10 0.13 3.89
Degree 12 100 62.35 70.00 8,792 MAX VALUE 558.53 29.70 0.48 3.28
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): 81,490
MCB cycles: 15,893
Triangles: 49,950
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-82_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-82_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 -672.22 0.00 0.00 0.97
Degree 23 26 25.44 26.00 24,572 MAX VALUE 3,125.72 0.76 0.03 0.98
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 3.33 3.00 52,908 MAX VALUE 18,929.00 0.54 0.16 0.71
Minimal dual graph
Density: 0.38%
MCB compute time (ms): 17,612
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 2.03 0.00 None 0.02 11.27 0.06
Degree 2 6 3.71 4.00 3,582 MAX VALUE 1,242.61 0.84 0.23 1.16
Eccentricity 8 12 9.81 10.00 9,477 MAX VALUE 2,203.66 0.65 0.07 0.99
MCB cycle size 3 11 6.70 7.00 5,578 MAX VALUE 1,558.44 1.60 0.24 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: 6.14%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.82 0.80 794.17 0.00 -204.94 0.15 0.18 4.12
Degree 2 259 59.29 8.00 57,272 MAX VALUE 2,636.12 89.13 1.50 3.66
Eccentricity 3 5 4.07 4.00 3,927 MAX VALUE 1,343.99 0.60 0.15 0.90
Incidence graph
Density: 0.32%
MCB compute time (ms): 9,671
MCB cycles: 826
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-82_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-82_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 1,038.57 3.90 1.12 0.46
Eccentricity 7 8 7.88 8.00 8,725 MAX VALUE 2,284.45 0.32 0.04 0.36
MCB cycle size 6 8 6.26 6.00 5,168 MAX VALUE 1,510.49 0.67 0.11 0.38