XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-18-141-53_glb_ext
Number of variables: 141
Number of constraints: 36
Satisfiable: None
Timestamp: 2018-04-21 09:59:19
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 141
Number of constraints: 36

General features

Coarse blocks: 1,064
Value tables: 141

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

Arity 7 8 7.83 8.00 282 1.46e+32 74.06 0.37 0.05 0.45

Coarse blocks size 1 418 46.82 32.00 49,821 MAX VALUE 3,620.45 45.78 0.98 4.60

Relational linkage 0.00 0.01 0.00 0.00 1.15 0.00 -3,264.47 0.00 0.60 5.28

Tightness 0.99 1.00 1.00 1.00 35.89 0.89 -0.11 0.00 0.00 3.49

Tuples 8 754 173.92 114.50 6,261 MAX VALUE 167.99 174.22 1.00 3.55

Values 1 6 4.00 4.00 564 MAX VALUE 190.26 1.03 0.26 1.43

Value table constraints 2 2 2.00 2.00 282 MAX VALUE 97.73 0.00 0.00 0.00

Value table partitions 1 6 3.85 4.00 543 MAX VALUE 181.49 1.18 0.31 1.55

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	7	8	7.83	8.00	282	1.46e+32	74.06	0.37	0.05	0.45
Coarse blocks size	1	418	46.82	32.00	49,821	MAX VALUE	3,620.45	45.78	0.98	4.60
Relational linkage	0.00	0.01	0.00	0.00	1.15	0.00	-3,264.47	0.00	0.60	5.28
Tightness	0.99	1.00	1.00	1.00	35.89	0.89	-0.11	0.00	0.00	3.49
Tuples	8	754	173.92	114.50	6,261	MAX VALUE	167.99	174.22	1.00	3.55
Values	1	6	4.00	4.00	564	MAX VALUE	190.26	1.03	0.26	1.43
Value table constraints	2	2	2.00	2.00	282	MAX VALUE	97.73	0.00	0.00	0.00
Value table partitions	1	6	3.85	4.00	543	MAX VALUE	181.49	1.18	0.31	1.55

Tree decomposition

Number of clusters: 34
Number of leaves: 17
Tree depth: 4
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_glb_ext/Tree1.json

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

Cluster constraints 0 2 1.06 1.50 36 0 None 0.97 0.91 0.87

Variables per cluster 13 62 24.62 17.00 837 MAX VALUE 104.71 13.69 0.56 2.19

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

Separator variables 0 46 20.47 14.00 696 0 None 10.18 0.50 2.23

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	1.06	1.50	36	0	None	0.97	0.91	0.87
Variables per cluster	13	62	24.62	17.00	837	MAX VALUE	104.71	13.69	0.56	2.19
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	46	20.47	14.00	696	0	None	10.18	0.50	2.23
Clusters per var	None	None	None	None	None	None	None	None	None	None

Dual tree decomposition

Number of clusters: 20
Number of leaves: 18
Tree depth: 2
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_glb_ext/DualTree1.json

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

Cluster constraints 0 8 7.05 8.00 141 0 None 2.38 0.34 0.73

Variables per cluster 8 17 9.65 9.00 193 3.05e+19 44.86 2.48 0.26 0.73

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

Separator variables 0 16 7.85 8.00 157 0 None 2.55 0.33 0.80

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	7.05	8.00	141	0	None	2.38	0.34	0.73
Variables per cluster	8	17	9.65	9.00	193	3.05e+19	44.86	2.48	0.26	0.73
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	16	7.85	8.00	157	0	None	2.55	0.33	0.80
Clusters per variable	None	None	None	None	None	None	None	None	None	None

Primal graph

Density: 9.79%
MCB compute time (ms): None
MCB cycles: None
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_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 0.46 65.05 0.00 -109.08 0.00 0.00 0.13

Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.97 0.52 0.04 0.67

Eccentricity 3 3 3.00 3.00 423 MAX VALUE 154.90 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	0.46	65.05	0.00	-109.08	0.00	0.00	0.13
Degree	12	14	13.70	14.00	1,932	MAX VALUE	368.97	0.52	0.04	0.67
Eccentricity	3	3	3.00	3.00	423	MAX VALUE	154.90	0.00	0.00	0.00
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Triangulated primal graph

Density: 45.93%
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 0.68 1.00 0.82 0.82 116.27 0.00 -28.14 0.10 0.12 3.61

Degree 12 100 64.30 76.00 9,066 MAX VALUE 562.44 30.49 0.47 3.22

Eccentricity 2 3 2.33 2.00 328 MAX VALUE 116.39 0.47 0.20 0.63

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	0.68	1.00	0.82	0.82	116.27	0.00	-28.14	0.10	0.12	3.61
Degree	12	100	64.30	76.00	9,066	MAX VALUE	562.44	30.49	0.47	3.22
Eccentricity	2	3	2.33	2.00	328	MAX VALUE	116.39	0.47	0.20	0.63
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Dual graph

Density: 22.38%
MCB compute time (ms): 10
MCB cycles: 115
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_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 7.83 8.00 282 1.46e+32 74.06 0.37 0.05 0.45

Eccentricity 3 4 3.06 3.00 110 2.67e+17 40.13 0.23 0.07 0.21

MCB cycle size 4 4 4.00 4.00 460 MAX VALUE 159.42 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	7.83	8.00	282	1.46e+32	74.06	0.37	0.05	0.45
Eccentricity	3	4	3.06	3.00	110	2.67e+17	40.13	0.23	0.07	0.21
MCB cycle size	4	4	4.00	4.00	460	MAX VALUE	159.42	0.00	0.00	0.00

Minimal dual graph

Density: 22.38%
MCB compute time (ms): 9
MCB cycles: 115

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 7.83 8.00 282 1.46e+32 74.06 0.37 0.05 0.45

Eccentricity 3 4 3.06 3.00 110 2.67e+17 40.13 0.23 0.07 0.21

MCB cycle size 4 4 4.00 4.00 460 MAX VALUE 159.42 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	7.83	8.00	282	1.46e+32	74.06	0.37	0.05	0.45
Eccentricity	3	4	3.06	3.00	110	2.67e+17	40.13	0.23	0.07	0.21
MCB cycle size	4	4	4.00	4.00	460	MAX VALUE	159.42	0.00	0.00	0.00

Triangulated dual graph

Density: 46.51%
Triangles: 1,283

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

Clustering coefficient 0.63 1.00 0.82 0.83 29.48 0.00 -8.10 0.18 0.22 1.49

Degree 7 25 16.28 15.50 586 MAX VALUE 94.76 8.46 0.52 1.20

Eccentricity 2 2 2.00 2.00 72 6.87e+10 24.95 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.63	1.00	0.82	0.83	29.48	0.00	-8.10	0.18	0.22	1.49
Degree	7	25	16.28	15.50	586	MAX VALUE	94.76	8.46	0.52	1.20
Eccentricity	2	2	2.00	2.00	72	6.87e+10	24.95	0.00	0.00	0.00

Triangulated minimal dual graph

Density: 46.51%

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

Clustering coefficient 0.63 1.00 0.82 0.83 29.48 0.00 -8.10 0.18 0.22 1.49

Degree 7 25 16.28 15.50 586 MAX VALUE 94.76 8.46 0.52 1.20

Eccentricity 2 2 2.00 2.00 72 6.87e+10 24.95 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.63	1.00	0.82	0.83	29.48	0.00	-8.10	0.18	0.22	1.49
Degree	7	25	16.28	15.50	586	MAX VALUE	94.76	8.46	0.52	1.20
Eccentricity	2	2	2.00	2.00	72	6.87e+10	24.95	0.00	0.00	0.00

Incidence graph

Density: 1.81%
MCB compute time (ms): 84
MCB cycles: 106
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-53_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 3.19 2.00 564 MAX VALUE 171.79 2.35 0.74 0.60

Eccentricity 6 8 6.10 6.00 1,080 MAX VALUE 319.88 0.34 0.06 0.34

MCB cycle size 8 8 8.00 8.00 848 MAX VALUE 220.42 0.00 0.00 0.00

XCSP 2.1 Benchmarks