Instance: normalized-graceful--K4-P2_ext
Number of variables: 24
Number of constraints: 148
Satisfiable: None
Timestamp: 2018-04-21 10:06:03
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0
Benchmark comments

Instance comments



Component #1 Number of variables: 24
Number of constraints: 148
General features
Number of coarse blocks: 5,048
Number of unique subscopes: 24
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Arity 2 3 2.11 2.00 312 MAX VALUE 109.07 0.31 0.15 0.34
Coarse blocks size 2 32 15.29 15.00 77,184 MAX VALUE 13,706.60 2.15 0.14 0.80
Relational linkage 0.01 0.11 0.06 0.06 23.06 0.00 -1,167.73 0.03 0.44 2.46
Tightness 0.06 0.94 0.16 0.06 23.26 0.00 -367.68 0.27 1.74 0.61
Tuples 240 272 246.05 240.00 36,416 MAX VALUE 814.64 12.53 0.05 0.49
Domain size 16 17 16.33 16.00 392 1.29e+29 67.03 0.47 0.03 0.64
Constraints per subscope 7 16 13.00 16.00 312 1.06e+26 59.93 4.24 0.33 0.64
Partitions per subscope 16 17 16.33 16.00 392 1.29e+29 67.03 0.47 0.03 0.64
Tree decomposition
Number of clusters: 7
Number of leaves: 2
Tree depth: 3
Dot-file path: /mnt/hdd/graphFiles/gracefulExtConvert/normalized-graceful--K4-P2_ext/Tree1.dot
PDF-file path: /mnt/hdd/graphFiles/gracefulExtConvert/normalized-graceful--K4-P2_ext/Tree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 22 121 65.29 49.00 457 1.64e+12 28.13 35.31 0.54 1.95
Cluster variables 12 18 15.57 15.00 109 208,202,000 19.15 2.06 0.13 1.55
Separator constraints 0 105 44.14 39.00 309 0 None 33.74 0.76 1.95
Separator variables 0 17 12.14 14.00 85 0 None 5.28 0.43 1.75
Dual tree decomposition
Number of clusters: 22
Number of leaves: 11
Tree depth: 5
Dot-file path: /mnt/hdd/graphFiles/gracefulExtConvert/normalized-graceful--K4-P2_ext/DualTree1.dot
PDF-file path: /mnt/hdd/graphFiles/gracefulExtConvert/normalized-graceful--K4-P2_ext/DualTree1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Cluster constraints 48 908 297.27 254.50 6,540 MAX VALUE 117.05 239.78 0.81 2.37
Cluster variables 13 92 37.18 31.00 818 8.05e+32 75.77 22.42 0.60 1.78
Separator constraints 0 518 202.36 224.00 4,452 0 None 147.63 0.73 2.37
Separator variables 0 72 30.45 30.00 670 0 None 17.76 0.58 1.87
Primal graph
Density: 65.22%
Dot-file path: /mnt/hdd/graphFiles/gracefulExtConvert/normalized-graceful--K4-P2_ext/Primal1.dot
PDF-file path: /mnt/hdd/graphFiles/gracefulExtConvert/normalized-graceful--K4-P2_ext/Primal1.pdf
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.56 0.82 0.74 0.82 17.69 0.00 -7.69 0.12 0.17 0.64
Degree 11 17 15.00 17.00 360 1.04e+28 64.51 2.83 0.19 0.64
Eccentricity 2 2 2.00 2.00 48 16,777,200 16.64 0.00 0.00 0.00
Triangulated primal graph
Density: 86.23%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.85 1.00 0.92 0.92 22.04 0.12 -2.08 0.06 0.06 2.28
Degree 11 23 19.83 20.50 476 9.68e+30 71.35 3.12 0.16 2.13
Eccentricity 1 2 1.75 2.00 42 262,144 12.48 0.43 0.25 0.56
Dual graph
Density: 19.19%
MCB compute time (ms): 990
MCB cycles: 1,997
Triangles: 9,904
Dot-file path: /mnt/hdd/graphFiles/gracefulExtConvert/normalized-graceful--K4-P2_ext/Dual1.dot
PDF-file path: /mnt/hdd/graphFiles/gracefulExtConvert/normalized-graceful--K4-P2_ext/Dual1.pdf

Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.42 0.55 0.51 0.51 75.15 0.00 -100.63 0.03 0.06 1.16
Degree 12 30 28.22 30.00 4,176 MAX VALUE 490.70 4.91 0.17 0.61
Eccentricity 2 3 2.85 3.00 422 MAX VALUE 153.67 0.36 0.12 0.42
MCB cycle size 3 4 3.00 3.00 5,995 MAX VALUE 2,195.08 0.04 0.01 0.01
Minimal dual graph
Density: 2.65%
MCB compute time (ms): 53
MCB cycles: 141
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.00 0.33 0.01 0.00 0.83 0.00 None 0.03 5.90 0.22
Degree 2 6 3.89 4.00 576 MAX VALUE 197.39 0.87 0.22 1.26
Eccentricity 6 9 7.41 7.00 1,096 MAX VALUE 295.61 0.72 0.10 1.06
MCB cycle size 3 9 5.39 5.00 760 MAX VALUE 234.44 1.11 0.21 1.44
Triangulated dual graph
Density: 64.28%
Triangles: 210,812
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.73 1.00 0.88 0.86 130.03 0.00 -19.55 0.06 0.07 2.78
Degree 12 131 94.49 107.00 13,984 MAX VALUE 655.26 34.37 0.36 2.80
Eccentricity 2 3 2.07 2.00 306 MAX VALUE 106.64 0.25 0.12 0.25
Triangulated minimal dual graph
Density: 11.97%
Feature min max mean median sum prod ln(prod) std_dev COV ENT
Clustering coefficient 0.45 1.00 0.77 0.72 114.37 0.00 -42.15 0.18 0.23 3.43
Degree 2 59 17.59 9.00 2,604 MAX VALUE 349.07 16.56 0.94 3.23
Eccentricity 3 5 3.66 4.00 541 MAX VALUE 190.18 0.54 0.15 0.79
Incidence graph
Density: 2.12%
MCB compute time (ms): 39
MCB cycles: 141
Dot-file path: /mnt/hdd/graphFiles/gracefulExtConvert/normalized-graceful--K4-P2_ext/Incidence1.dot
PDF-file path: /mnt/hdd/graphFiles/gracefulExtConvert/normalized-graceful--K4-P2_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 16 3.63 2.00 624 MAX VALUE 169.00 4.10 1.13 0.79
Eccentricity 4 6 5.64 6.00 970 MAX VALUE 296.23 0.65 0.11 0.75
MCB cycle size 6 6 6.00 6.00 846 MAX VALUE 252.64 0.00 0.00 0.00