Instance: normalized-queen8-8-8_ext
Number of variables: 64
Number of constraints: 728
Satisfiable: None
Timestamp: 2018-04-21 10:14:59
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 64
Number of constraints: 728
General features
Number of coarse blocks: 11,648
Number of unique subscopes: 64
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 1,456 MAX VALUE 504.61 0.00 0.00 0.00
Coarse blocks size 7 7 7.00 7.00 81,536 MAX VALUE 22,666.00 0.00 0.00 0.00
Relational linkage 0.88 0.88 0.88 0.88 448.00 0.00 -68.37 0.00 0.00 0.00
Tightness 0.12 0.12 0.12 0.12 91.00 0.00 -1,513.83 0.00 0.00 0.00
Tuples 56 56 56.00 56.00 40,768 MAX VALUE 2,930.46 0.00 0.00 0.00
Domain size 8 8 8.00 8.00 512 MAX VALUE 133.08 0.00 0.00 0.00
Constraints per subscope 21 27 22.75 23.00 1,456 MAX VALUE 199.77 1.85 0.08 1.21
Partitions per subscope 8 8 8.00 8.00 512 MAX VALUE 133.08 0.00 0.00 0.00
Tree decomposition
Number of clusters: 15
Number of leaves: 6
Tree depth: 5
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-8-8_ext/Tree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-8-8_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 107 414 242.07 194.00 3,631 8.83e+34 80.47 115.75 0.48 2.52
Cluster variables 22 49 34.73 32.00 521 6.46e+22 52.52 10.32 0.30 2.12
Separator constraints 0 381 193.53 173.00 2,903 0 None 117.32 0.61 2.52
Separator variables 0 47 30.47 31.00 457 0 None 12.51 0.41 2.12
Dual tree decomposition
Number of clusters: 62
Number of leaves: 32
Tree depth: 5
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-8-8_ext/DualTree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-8-8_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 426 4,326 1,039.89 714.00 64,473 MAX VALUE 416.12 870.12 0.84 3.01
Cluster variables 41 369 92.06 53.00 5,708 MAX VALUE 266.04 76.49 0.83 2.76
Separator constraints 0 2,464 782.73 607.50 48,529 0 None 511.18 0.65 3.03
Separator variables 0 284 80.32 50.00 4,980 0 None 58.73 0.73 2.74
Primal graph
Density: 36.11%
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-8-8_ext/Primal1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-8-8_ext/Primal1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.40 0.43 0.41 0.40 25.93 0.00 -57.83 0.01 0.02 1.91
Degree 21 27 22.75 23.00 1,456 MAX VALUE 199.77 1.85 0.08 1.21
Eccentricity 2 2 2.00 2.00 128 1.84e+19 44.36 0.00 0.00 0.00
Triangulated primal graph
Density: 83.33%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.86 1.00 0.92 0.91 58.85 0.00 -5.42 0.04 0.04 3.55
Degree 21 61 52.50 57.00 3,360 MAX VALUE 251.32 11.18 0.21 2.46
Eccentricity 2 2 2.00 2.00 128 1.84e+19 44.36 0.00 0.00 0.00
Dual graph
Density: 6.03%
MCB compute time (ms): 16,976
MCB cycles: 16,126
Triangles: 114,112
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-8-8_ext/Dual1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-8-8_ext/Dual1.pdf

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.51 0.50 0.50 363.44 0.00 -505.74 0.00 0.01 3.38
Degree 40 52 43.80 44.00 31,888 MAX VALUE 2,750.02 2.91 0.07 1.71
Eccentricity 3 3 3.00 3.00 2,184 MAX VALUE 799.79 0.00 0.00 0.00
MCB cycle size 3 3 3.00 3.00 48,378 MAX VALUE 17,716.20 0.00 0.00 0.00
Minimal dual graph
Density: 0.53%
MCB compute time (ms): 12,397
MCB cycles: 665
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 16.16 0.03
Degree 2 7 3.82 4.00 2,784 MAX VALUE 958.42 0.89 0.23 1.20
Eccentricity 7 10 8.38 8.00 6,101 MAX VALUE 1,545.50 0.64 0.08 0.96
MCB cycle size 3 10 7.18 7.00 4,772 MAX VALUE 1,299.61 1.21 0.17 1.55
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: 8.75%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.84 0.82 614.81 0.00 -132.47 0.13 0.16 4.04
Degree 2 230 63.58 9.00 46,284 MAX VALUE 2,065.84 87.15 1.37 3.56
Eccentricity 3 5 3.83 4.00 2,789 MAX VALUE 969.77 0.56 0.15 0.84
Incidence graph
Density: 0.46%
MCB compute time (ms): 4,075
MCB cycles: 665
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-8-8_ext/Incidence1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen8-8-8_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 27 3.68 2.00 2,912 MAX VALUE 704.38 5.68 1.54 0.38
Eccentricity 5 6 5.92 6.00 4,688 MAX VALUE 1,407.40 0.27 0.05 0.28
MCB cycle size 6 6 6.00 6.00 3,990 MAX VALUE 1,191.52 0.00 0.00 0.00