XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-15-106-50_glb_ext
Number of variables: 106
Number of constraints: 30
Satisfiable: None
Timestamp: 2018-04-21 09:58:19
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 106
Number of constraints: 30

General features

Coarse blocks: 757
Value tables: 106

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Arity 7 8 7.07 7.00 212 2.94e+25 58.64 0.25 0.04 0.24

Coarse blocks size 1 256 23.22 15.00 17,575 MAX VALUE 2,039.05 32.02 1.38 3.73

Relational linkage 0.00 0.02 0.01 0.00 1.93 0.00 -1,968.57 0.00 0.52 4.72

Tightness 0.99 1.00 0.99 0.99 29.79 0.81 -0.21 0.00 0.00 3.35

Tuples 4 694 79.83 55.00 2,395 MAX VALUE 117.83 118.96 1.49 3.35

Values 1 6 3.69 4.00 391 MAX VALUE 134.43 0.94 0.25 1.35

Value table constraints 2 2 2.00 2.00 212 8.11e+31 73.47 0.00 0.00 0.00

Value table partitions 1 6 3.69 4.00 391 MAX VALUE 134.43 0.94 0.25 1.35

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	7	8	7.07	7.00	212	2.94e+25	58.64	0.25	0.04	0.24
Coarse blocks size	1	256	23.22	15.00	17,575	MAX VALUE	2,039.05	32.02	1.38	3.73
Relational linkage	0.00	0.02	0.01	0.00	1.93	0.00	-1,968.57	0.00	0.52	4.72
Tightness	0.99	1.00	0.99	0.99	29.79	0.81	-0.21	0.00	0.00	3.35
Tuples	4	694	79.83	55.00	2,395	MAX VALUE	117.83	118.96	1.49	3.35
Values	1	6	3.69	4.00	391	MAX VALUE	134.43	0.94	0.25	1.35
Value table constraints	2	2	2.00	2.00	212	8.11e+31	73.47	0.00	0.00	0.00
Value table partitions	1	6	3.69	4.00	391	MAX VALUE	134.43	0.94	0.25	1.35

Tree decomposition

Number of clusters: 28
Number of leaves: 15
Tree depth: 4
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/Tree1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 0 2 1.07 2.00 30 0 None 1.00 0.93 0.69

Variables per cluster 13 46 20.75 14.00 581 4.47e+35 82.09 10.18 0.49 1.71

Separator constraints 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Separator variables 0 34 16.96 12.50 475 0 None 7.68 0.45 1.71

Clusters per var None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	0	2	1.07	2.00	30	0	None	1.00	0.93	0.69
Variables per cluster	13	46	20.75	14.00	581	4.47e+35	82.09	10.18	0.49	1.71
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	34	16.96	12.50	475	0	None	7.68	0.45	1.71
Clusters per var	None	None	None	None	None	None	None	None	None	None

Dual tree decomposition

Number of clusters: 17
Number of leaves: 15
Tree depth: 2
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/DualTree1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Cluster constraints 0 8 6.24 7.00 106 0 None 2.29 0.37 0.58

Variables per cluster 8 14 8.76 8.00 149 7.76e+15 36.59 1.93 0.22 0.58

Separator constraints 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Separator variables 0 13 7.00 7.00 119 0 None 2.25 0.32 0.66

Clusters per variable None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	0	8	6.24	7.00	106	0	None	2.29	0.37	0.58
Variables per cluster	8	14	8.76	8.00	149	7.76e+15	36.59	1.93	0.22	0.58
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	13	7.00	7.00	119	0	None	2.25	0.32	0.66
Clusters per variable	None	None	None	None	None	None	None	None	None	None

Primal graph

Density: 11.57%
MCB compute time (ms): None
MCB cycles: None
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/Primal1.json

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.45 0.46 0.46 0.45 48.29 0.00 -83.33 0.00 0.01 0.42

Degree 12 13 12.15 12.00 1,288 MAX VALUE 264.68 0.36 0.03 0.42

Eccentricity 3 3 3.00 3.00 318 MAX VALUE 116.45 0.00 0.00 0.00

MCB cycle size None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.45	0.46	0.46	0.45	48.29	0.00	-83.33	0.00	0.01	0.42
Degree	12	13	12.15	12.00	1,288	MAX VALUE	264.68	0.36	0.03	0.42
Eccentricity	3	3	3.00	3.00	318	MAX VALUE	116.45	0.00	0.00	0.00
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Triangulated primal graph

Density: 46.18%
MCB compute time (ms): None
MCB cycles: None
Triangles: None

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.67 1.00 0.82 0.81 86.85 0.00 -21.94 0.10 0.13 2.90

Degree 12 77 48.49 56.00 5,140 MAX VALUE 394.77 22.34 0.46 2.81

Eccentricity 2 3 2.37 2.00 251 MAX VALUE 89.29 0.48 0.20 0.66

MCB cycle size None None None None None None None None None None

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.67	1.00	0.82	0.81	86.85	0.00	-21.94	0.10	0.13	2.90
Degree	12	77	48.49	56.00	5,140	MAX VALUE	394.77	22.34	0.46	2.81
Eccentricity	2	3	2.37	2.00	251	MAX VALUE	89.29	0.48	0.20	0.66
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Dual graph

Density: 24.37%
MCB compute time (ms): 4
MCB cycles: 83
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/Dual1.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 7 8 7.07 7.00 212 2.94e+25 58.64 0.25 0.04 0.24

Eccentricity 3 4 3.07 3.00 92 3.66e+14 33.53 0.25 0.08 0.24

MCB cycle size 4 4 4.00 4.00 332 MAX VALUE 115.06 0.00 0.00 0.00

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	7	8	7.07	7.00	212	2.94e+25	58.64	0.25	0.04	0.24
Eccentricity	3	4	3.07	3.00	92	3.66e+14	33.53	0.25	0.08	0.24
MCB cycle size	4	4	4.00	4.00	332	MAX VALUE	115.06	0.00	0.00	0.00

Minimal dual graph

Density: 24.37%
MCB compute time (ms): 4
MCB cycles: 83

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 7 8 7.07 7.00 212 2.94e+25 58.64 0.25 0.04 0.24

Eccentricity 3 4 3.07 3.00 92 3.66e+14 33.53 0.25 0.08 0.24

MCB cycle size 4 4 4.00 4.00 332 MAX VALUE 115.06 0.00 0.00 0.00

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	7	8	7.07	7.00	212	2.94e+25	58.64	0.25	0.04	0.24
Eccentricity	3	4	3.07	3.00	92	3.66e+14	33.53	0.25	0.08	0.24
MCB cycle size	4	4	4.00	4.00	332	MAX VALUE	115.06	0.00	0.00	0.00

Triangulated dual graph

Density: 48.28%
Triangles: 764

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.60 1.00 0.81 0.82 24.44 0.00 -6.94 0.19 0.23 1.32

Degree 7 22 14.00 14.00 420 3.51e+32 74.94 6.94 0.50 1.13

Eccentricity 2 2 2.00 2.00 60 1.07e+09 20.79 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.60	1.00	0.81	0.82	24.44	0.00	-6.94	0.19	0.23	1.32
Degree	7	22	14.00	14.00	420	3.51e+32	74.94	6.94	0.50	1.13
Eccentricity	2	2	2.00	2.00	60	1.07e+09	20.79	0.00	0.00	0.00

Triangulated minimal dual graph

Density: 48.28%

Feature min max mean median sum prod ln(prod) std_dev COV ENT

Clustering coefficient 0.60 1.00 0.81 0.82 24.44 0.00 -6.94 0.19 0.23 1.32

Degree 7 22 14.00 14.00 420 3.51e+32 74.94 6.94 0.50 1.13

Eccentricity 2 2 2.00 2.00 60 1.07e+09 20.79 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.60	1.00	0.81	0.82	24.44	0.00	-6.94	0.19	0.23	1.32
Degree	7	22	14.00	14.00	420	3.51e+32	74.94	6.94	0.50	1.13
Eccentricity	2	2	2.00	2.00	60	1.07e+09	20.79	0.00	0.00	0.00

Incidence graph

Density: 2.31%
MCB compute time (ms): 43
MCB cycles: 77
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-50_glb_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 8 3.12 2.00 424 MAX VALUE 132.12 2.10 0.67 0.58

Eccentricity 6 8 6.13 6.00 834 MAX VALUE 246.41 0.38 0.06 0.41

MCB cycle size 8 8 8.00 8.00 616 MAX VALUE 160.12 0.00 0.00 0.00

XCSP 2.1 Benchmarks