Instance: normalized-4-insertions-3-3-ext
Number of variables: 79
Number of constraints: 156
Satisfiable: None
Timestamp: 2018-04-21 10:07:22
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 79
Number of constraints: 156
General features
Coarse blocks: 936
Value tables: 79
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 312 MAX VALUE 108.13 0.00 0.00 0.00
Coarse blocks size 2 2 2.00 2.00 1,872 MAX VALUE 648.79 0.00 0.00 0.00
Relational linkage 0.67 0.67 0.67 0.67 158.00 0.00 -96.10 0.00 0.00 0.00
Tightness 0.33 0.33 0.33 0.33 52.00 0.00 -171.38 0.00 0.00 0.00
Tuples 6 6 6.00 6.00 936 MAX VALUE 279.51 0.00 0.00 0.00
Values 3 3 3.00 3.00 237 4.93e+37 86.79 0.00 0.00 0.00
Value table constraints 3 13 3.95 4.00 312 MAX VALUE 106.96 1.09 0.28 0.51
Value table partitions 3 3 3.00 3.00 237 4.93e+37 86.79 0.00 0.00 0.00
Tree decomposition
Number of clusters: 61
Number of leaves: 39
Tree depth: 6
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-insertion-k-insertionExtConvert/normalized-4-insertions-3-3_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-insertion-k-insertionExtConvert/normalized-4-insertions-3-3_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 0 5 2.87 4.00 175 0 None 1.54 0.54 1.25
Cluster variables 4 16 6.48 5.00 395 MAX VALUE 109.05 2.91 0.45 1.70
Separator constraints 0 3 0.31 0.00 19 0 None 0.76 2.43 0.47
Separator variables 0 13 5.18 4.00 316 0 None 2.60 0.50 1.70
Dual tree decomposition
Number of clusters: 77
Number of leaves: 35
Tree depth: 6
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-insertion-k-insertionExtConvert/normalized-4-insertions-3-3_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-insertion-k-insertionExtConvert/normalized-4-insertions-3-3_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 8 85 12.62 12.00 972 MAX VALUE 187.71 9.68 0.77 1.62
Cluster variables 6 31 10.30 8.00 793 MAX VALUE 171.54 5.65 0.55 2.19
Separator constraints 0 41 6.04 6.00 465 0 None 5.09 0.84 1.45
Separator variables 0 23 8.27 7.00 637 0 None 4.25 0.51 2.11
Primal graph
Density: 5.06%
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-insertion-k-insertionExtConvert/normalized-4-insertions-3-3_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-insertion-k-insertionExtConvert/normalized-4-insertions-3-3_ext/Primal1.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 3 13 3.95 4.00 312 MAX VALUE 106.96 1.09 0.28 0.51
Eccentricity 6 6 6.00 6.00 474 MAX VALUE 141.55 0.00 0.00 0.00
Triangulated primal graph
Density: 15.38%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.26 1.00 0.78 0.75 61.77 0.00 -23.10 0.22 0.29 2.28
Degree 3 49 12.00 9.00 948 MAX VALUE 166.71 10.23 0.85 2.43
Eccentricity 2 4 3.30 3.00 261 MAX VALUE 93.58 0.49 0.15 0.69
Dual graph
Density: 4.19%
MCB compute time (ms): 96
MCB cycles: 403
Triangles: 559
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-insertion-k-insertionExtConvert/normalized-4-insertions-3-3_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-insertion-k-insertionExtConvert/normalized-4-insertions-3-3_ext/Dual1.pdf

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 0.74 0.43 0.40 66.77 0.00 -135.01 0.09 0.22 0.29
Degree 5 14 6.50 6.00 1,014 MAX VALUE 285.79 2.29 0.35 0.72
Eccentricity 7 7 7.00 7.00 1,092 MAX VALUE 303.56 0.00 0.00 0.00
MCB cycle size 3 13 3.47 3.00 1,397 MAX VALUE 492.19 0.85 0.24 0.85
Minimal dual graph
Density: 1.93%
MCB compute time (ms): 53
MCB cycles: 78
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 4 2.99 3.00 466 MAX VALUE 169.28 0.39 0.13 0.54
Eccentricity 10 14 11.88 12.00 1,853 MAX VALUE 385.63 0.86 0.07 1.26
MCB cycle size 4 13 6.24 6.00 487 MAX VALUE 141.54 1.25 0.20 1.40
Triangulated dual graph
Density: 15.74%
Triangles: 14,863
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.53 1.00 0.77 0.76 119.65 0.00 -44.70 0.16 0.21 3.51
Degree 5 62 24.40 15.00 3,806 MAX VALUE 444.56 19.17 0.79 3.22
Eccentricity 3 4 3.46 3.00 539 MAX VALUE 191.81 0.50 0.14 0.69
Triangulated minimal dual graph
Density: 7.34%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.37 1.00 0.75 0.67 116.86 0.00 -51.81 0.22 0.29 2.82
Degree 2 41 11.38 5.00 1,776 MAX VALUE 302.69 11.72 1.03 2.76
Eccentricity 3 5 4.18 4.00 652 MAX VALUE 221.35 0.61 0.15 0.92
Incidence graph
Density: 1.13%
MCB compute time (ms): 97
MCB cycles: 78
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-insertion-k-insertionExtConvert/normalized-4-insertions-3-3_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-insertion-k-insertionExtConvert/normalized-4-insertions-3-3_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 13 2.66 2.00 624 MAX VALUE 215.09 1.12 0.42 0.81
Eccentricity 13 14 13.66 14.00 3,211 MAX VALUE 614.32 0.47 0.03 0.64
MCB cycle size 8 26 8.23 8.00 642 MAX VALUE 163.38 2.02 0.25 0.07