Instance: normalized-miles750-15_ext
Number of variables: 128
Number of constraints: 2113
Satisfiable: None
Timestamp: 2018-04-21 10:13:40
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 128
Number of constraints: 2113
General features
Number of coarse blocks: 63,390
Number of unique subscopes: 128
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 2 2.00 2.00 4,226 MAX VALUE 1,464.62 0.00 0.00 0.00
Coarse blocks size 14 14 14.00 14.00 887,460 MAX VALUE 167,290.00 0.00 0.00 0.00
Relational linkage 0.93 0.93 0.93 0.93 1,792.00 0.00 -132.47 0.00 0.00 0.00
Tightness 0.07 0.07 0.07 0.07 140.87 0.00 -5,722.11 0.00 0.00 0.00
Tuples 210 210 210.00 210.00 443,730 MAX VALUE 11,298.40 0.00 0.00 0.00
Domain size 15 15 15.00 15.00 1,920 MAX VALUE 346.63 0.00 0.00 0.00
Constraints per subscope 6 64 33.02 33.50 4,226 MAX VALUE 430.86 15.23 0.46 3.80
Partitions per subscope 15 15 15.00 15.00 1,920 MAX VALUE 346.63 0.00 0.00 0.00
Tree decomposition
Number of clusters: 58
Number of leaves: 6
Tree depth: 17
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-15_ext/Tree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-15_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 13 576 256.38 179.00 14,870 MAX VALUE 293.16 203.44 0.79 4.01
Cluster variables 7 41 22.69 22.00 1,316 MAX VALUE 173.26 10.68 0.47 2.99
Separator constraints 0 542 219.95 145.50 12,757 0 None 188.75 0.86 3.88
Separator variables 0 35 20.48 20.50 1,188 0 None 10.64 0.52 2.85
Dual tree decomposition
Number of clusters: 126
Number of leaves: 58
Tree depth: 13
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-15_ext/DualTree1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-15_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 80 18,465 2,816.08 1,570.50 354,826 MAX VALUE 910.95 3,579.35 1.27 4.83
Cluster variables 17 692 133.74 85.00 16,851 MAX VALUE 569.49 136.83 1.02 4.51
Separator constraints 0 9,880 2,161.43 1,395.50 272,340 0 None 2,345.82 1.09 4.81
Separator variables 0 520 116.97 83.50 14,738 0 None 107.14 0.92 4.49
Primal graph
Density: 26.00%
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-15_ext/Primal1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-15_ext/Primal1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.48 1.00 0.75 0.73 95.39 0.00 -39.67 0.13 0.18 4.76
Degree 6 64 33.02 33.50 4,226 MAX VALUE 430.86 15.23 0.46 3.80
Eccentricity 3 6 4.94 5.00 632 MAX VALUE 202.58 0.81 0.16 1.17
Triangulated primal graph
Density: 33.49%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.54 1.00 0.81 0.80 103.76 0.00 -28.26 0.12 0.14 4.51
Degree 6 76 42.53 42.00 5,444 MAX VALUE 458.91 21.20 0.50 3.89
Eccentricity 2 4 3.48 3.00 445 MAX VALUE 158.05 0.51 0.15 0.73
Dual graph
Density: 3.70%
MCB compute time (ms): 3,241,040
MCB cycles: 81,911
Triangles: 1,201,130
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-15_ext/Dual1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-15_ext/Dual1.pdf

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.49 0.78 0.52 0.51 1,100.17 0.00 -1,381.31 0.03 0.05 7.22
Degree 16 125 78.07 84.00 164,972 MAX VALUE 9,065.80 24.35 0.31 4.44
Eccentricity 3 6 5.03 5.00 10,636 MAX VALUE 3,391.25 0.74 0.15 1.07
MCB cycle size 3 4 3.00 3.00 245,929 MAX VALUE 90,044.80 0.05 0.02 0.02
Minimal dual graph
Density: 0.18%
MCB compute time (ms): 385,736
MCB cycles: 1,986
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 27.56 0.01
Degree 2 7 3.88 4.00 8,196 MAX VALUE 2,804.84 0.95 0.25 1.26
Eccentricity 9 15 12.47 12.00 26,355 MAX VALUE 5,324.58 1.06 0.08 1.46
MCB cycle size 3 12 6.74 7.00 13,393 MAX VALUE 3,743.47 1.41 0.21 1.73
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: 5.73%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.84 0.84 1,780.16 0.00 -392.02 0.14 0.16 4.50
Degree 2 545 120.96 9.00 255,582 MAX VALUE 6,373.99 193.24 1.60 4.01
Eccentricity 3 6 4.80 5.00 10,149 MAX VALUE 3,300.97 0.56 0.12 0.84
Incidence graph
Density: 0.17%
MCB compute time (ms): 28,421
MCB cycles: 1,986
Dot-file path: /mnt/hdd/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-15_ext/Incidence1.dot
PDF-file path: /mnt/hdd/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-15_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 64 3.77 2.00 8,452 MAX VALUE 1,895.48 8.07 2.14 0.44
Eccentricity 7 13 10.79 11.00 24,180 MAX VALUE 5,308.58 1.48 0.14 1.64
MCB cycle size 6 6 6.00 6.00 11,916 MAX VALUE 3,558.43 0.00 0.00 0.00