Instance: bqwh-18-141-64-ext
Number of variables: 141
Number of constraints: 966
Satisfiable: None
Timestamp: 2017-10-27 10:42:13
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: 7,404
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 3.37 3.00 24,918 MAX VALUE 8,619.05 1.00 0.30 1.42
Relational linkage 0.50 0.80 0.64 0.67 346.63 0.00 -243.02 0.08 0.13 0.97
Tightness 0.00 0.33 0.12 0.12 118.98 0.00 None 0.06 0.49 2.67
Tuples 3 37 12.90 13.00 12,459 MAX VALUE 2,394.90 5.00 0.39 2.89
Values 2 7 3.82 4.00 539 MAX VALUE 183.83 1.01 0.26 1.41
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 3.82 4.00 539 MAX VALUE 183.83 1.01 0.26 1.41
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-18-141-64_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-64_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 42 185 80.56 56.00 2,739 MAX VALUE 146.22 37.26 0.46 2.28
Cluster variables 13 64 24.47 15.00 832 MAX VALUE 104.45 13.79 0.56 2.00
Separator constraints 0 103 52.15 42.00 1,773 0 None 20.43 0.39 2.24
Separator variables 0 48 20.32 14.00 691 0 None 10.35 0.51 2.00
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-18-141-64_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-64_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 137 1,457 319.43 188.00 44,401 MAX VALUE 779.74 226.78 0.71 2.83
Cluster variables 23 323 54.90 27.00 7,631 MAX VALUE 522.80 51.96 0.95 2.69
Separator constraints 0 883 231.01 162.00 32,111 0 None 138.77 0.60 2.77
Separator variables 0 249 47.95 26.00 6,665 0 None 40.40 0.84 2.69
Primal graph
Density: 9.79%
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-64_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-64_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: 45.60%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.69 1.00 0.83 0.79 116.42 0.00 -27.94 0.10 0.12 3.22
Degree 12 102 63.84 77.00 9,002 MAX VALUE 560.67 30.82 0.48 2.86
Eccentricity 2 3 2.31 2.00 326 MAX VALUE 115.57 0.46 0.20 0.62
Dual graph
Density: 2.64%
MCB compute time (ms): 92,985
MCB cycles: 14,361
Triangles: 49,998
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-64_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-64_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 0.99
Degree 22 26 25.45 26.00 24,580 MAX VALUE 3,125.87 0.89 0.04 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 3.23 3.00 46,403 MAX VALUE 16,720.80 0.45 0.14 0.57
Minimal dual graph
Density: 0.38%
MCB compute time (ms): 20,326
MCB cycles: 832
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.00 0.00 1.67 0.00 None 0.02 13.15 0.04
Degree 2 6 3.71 4.00 3,582 MAX VALUE 1,244.39 0.81 0.22 1.12
Eccentricity 8 12 9.72 10.00 9,393 MAX VALUE 2,194.65 0.71 0.07 1.07
MCB cycle size 3 12 6.78 7.00 5,640 MAX VALUE 1,564.20 1.71 0.25 1.90
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: 6.35%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.82 0.80 795.85 0.00 -202.33 0.14 0.17 4.14
Degree 2 257 61.29 8.00 59,204 MAX VALUE 2,662.23 91.35 1.49 3.69
Eccentricity 3 5 3.90 4.00 3,768 MAX VALUE 1,304.31 0.57 0.15 0.85
Incidence graph
Density: 0.32%
MCB compute time (ms): 10,067
MCB cycles: 826
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-64_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141/bqwh-18-141-64_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