Instance: normalized-miles750-10-ext
Number of variables: 128
Number of constraints: 2113
Satisfiable: True
Timestamp: 2025-07-27 21:34:47
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
Coarse blocks: 42,260
Value tables: 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 9 9 9.00 9.00 380,340 MAX VALUE 92,854.70 0.00 0.00 0.00
Relational linkage 0.90 0.90 0.90 0.90 1,152.00 0.00 -134.86 0.00 0.00 0.00
Tightness 0.10 0.10 0.10 0.10 211.30 0.00 -4,865.36 0.00 0.00 0.00
Tuples 90 90 90.00 90.00 190,170 MAX VALUE 9,508.10 0.00 0.00 0.00
Values 10 10 10.00 10.00 1,280 MAX VALUE 294.73 0.00 0.00 0.00
Value table constraints 6 64 33.02 33.50 4,226 MAX VALUE 430.86 15.23 0.46 3.80
Value table partitions 10 10 10.00 10.00 1,280 MAX VALUE 294.73 0.00 0.00 0.00
Tree decomposition
Number of clusters: 58
Number of leaves: 6
Tree depth: 17
CIR: 0.52
Independent Cluster Pairs: 835
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/Tree1.json
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
Variables per cluster 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
Clusters per var 1 22 10.28 9.50 1,316 MAX VALUE 265.10 6.12 0.60 2.98
Dual tree decomposition
Number of clusters: 126
Number of leaves: 58
Tree depth: 13
CIR: 0.58
Independent Cluster Pairs: 4,461
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/DualTree1.json
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
Variables per cluster 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
Clusters per variable 1 15 7.97 8.00 16,851 MAX VALUE 4,203.09 2.66 0.33 2.33
Primal graph
Density: 26.00%
MCB compute time (ms): None
MCB cycles: None
Triangles: 19,623
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/Primal1.json
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
MCB cycle size None None None None None None None None None None
Triangulated primal graph
Density: 33.49%
MCB compute time (ms): None
MCB cycles: None
Triangles: 35,612
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
MCB cycle size None None None None None None None None None None
Dual graph
Density: 3.70%
MCB compute time (ms): 3,127,000
MCB cycles: 81,911
Triangles: 1,201,130
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/Dual1.json
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): 363,811
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): 27,571
MCB cycles: 1,986
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/graphColoring-sgb-milesExtConvert/normalized-miles750-10-ext/Incidence1.json
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