Instance: normalized-queen13-13-12_ext
Number of variables: 169
Number of constraints: 3328
Satisfiable: None
Timestamp: 2018-04-21 10:15:03
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 169
Number of constraints: 3328
General features
Number of coarse blocks: 79,872
Number of unique subscopes: 169
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 6,656 MAX VALUE 2,306.79 0.00 0.00 0.00
Coarse blocks size 11 11 11.00 11.00 878,592 MAX VALUE 191,525.00 0.00 0.00 0.00
Relational linkage 0.92 0.92 0.92 0.92 1,859.00 0.00 -176.46 0.00 0.00 0.00
Tightness 0.08 0.08 0.08 0.08 277.33 0.00 -8,269.77 0.00 0.00 0.00
Tuples 132 132 132.00 132.00 439,296 MAX VALUE 16,250.00 0.00 0.00 0.00
Domain size 12 12 12.00 12.00 2,028 MAX VALUE 419.95 0.00 0.00 0.00
Constraints per subscope 36 48 39.38 38.00 6,656 MAX VALUE 620.31 3.05 0.08 1.69
Partitions per subscope 12 12 12.00 12.00 2,028 MAX VALUE 419.95 0.00 0.00 0.00
Tree decomposition
Number of clusters: 29
Number of leaves: 10
Tree depth: 9
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen13-13-12_ext/Tree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen13-13-12_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 272 2,198 1,025.79 736.00 29,748 MAX VALUE 192.78 703.12 0.69 3.22
Cluster variables 37 138 82.62 76.00 2,396 MAX VALUE 124.58 37.94 0.46 2.97
Separator constraints 0 1,978 911.03 633.00 26,420 0 None 685.38 0.75 3.18
Separator variables 0 131 76.79 70.00 2,227 0 None 39.11 0.51 2.90
Dual tree decomposition
Number of clusters: 167
Number of leaves: 84
Tree depth: 7
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen13-13-12_ext/DualTree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen13-13-12_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 1,274 37,071 4,007.05 2,087.00 669,177 MAX VALUE 1,320.08 5,250.27 1.31 3.74
Cluster variables 71 1,711 204.85 91.00 34,210 MAX VALUE 824.22 261.19 1.28 3.43
Separator constraints 0 19,587 3,237.42 1,997.00 540,649 0 None 3,365.31 1.04 3.75
Separator variables 0 1,272 184.92 90.00 30,882 0 None 207.87 1.12 3.41
Primal graph
Density: 23.44%
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen13-13-12_ext/Primal1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen13-13-12_ext/Primal1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.34 0.39 0.35 0.35 59.27 0.00 -177.16 0.01 0.03 3.21
Degree 36 48 39.38 38.00 6,656 MAX VALUE 620.31 3.05 0.08 1.69
Eccentricity 2 2 2.00 2.00 338 MAX VALUE 117.14 0.00 0.00 0.00
Triangulated primal graph
Density: 85.09%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.90 1.00 0.94 0.94 159.23 0.00 -10.11 0.02 0.02 4.82
Degree 36 161 142.95 155.00 24,158 MAX VALUE 830.96 31.59 0.22 3.03
Eccentricity 2 2 2.00 2.00 338 MAX VALUE 117.14 0.00 0.00 0.00
Dual graph
Density: None%
MCB compute time (ms): None
MCB cycles: None
Triangles: None
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen13-13-12_ext/Dual1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen13-13-12_ext/Dual1.pdf

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
MCB cycle size None None None None None None None None None None
Minimal dual graph
Density: 0.12%
MCB compute time (ms): None
MCB cycles: None
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 0.01 34.60 0.01
Degree 2 8 3.90 4.00 12,974 MAX VALUE 4,444.08 0.91 0.23 1.23
Eccentricity 8 12 10.28 10.00 34,203 MAX VALUE 7,745.66 0.72 0.07 1.09
MCB cycle size None None None None None None None None None None
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: 7.71%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.47 1.00 0.87 0.89 2,906.21 0.00 -488.63 0.13 0.14 4.69
Degree 2 980 256.39 9.00 853,268 MAX VALUE 11,069.00 390.93 1.52 4.06
Eccentricity 3 5 3.94 4.00 13,110 MAX VALUE 4,525.85 0.58 0.15 0.87
Incidence graph
Density: 0.11%
MCB compute time (ms): None
MCB cycles: None
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen13-13-12_ext/Incidence1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-queenExtConvert/normalized-queen13-13-12_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 48 3.81 2.00 13,312 MAX VALUE 2,927.10 8.05 2.11 0.28
Eccentricity 5 6 5.95 6.00 20,813 MAX VALUE 6,234.97 0.21 0.04 0.19
MCB cycle size None None None None None None None None None None