XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-18-141-46_glb_ext
Number of variables: 141
Number of constraints: 36
Satisfiable: None
Timestamp: 2018-04-21 09:59:50
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 141
Number of constraints: 36

General features

Coarse blocks: 1,071
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 1 228 33.12 24.00 35,474 MAX VALUE 3,350.36 29.09 0.88 4.31

Relational linkage 0.00 0.01 0.00 0.00 1.15 0.00 -3,292.74 0.00 0.59 5.14

Tightness 0.99 1.00 1.00 1.00 35.87 0.88 -0.13 0.00 0.00 3.58

Tuples 13 402 124.00 99.50 4,464 MAX VALUE 161.88 100.18 0.81 3.51

Values 2 6 3.87 4.00 546 MAX VALUE 185.62 1.02 0.26 1.42

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

Value table partitions 2 6 3.87 4.00 546 MAX VALUE 185.62 1.02 0.26 1.42

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	228	33.12	24.00	35,474	MAX VALUE	3,350.36	29.09	0.88	4.31
Relational linkage	0.00	0.01	0.00	0.00	1.15	0.00	-3,292.74	0.00	0.59	5.14
Tightness	0.99	1.00	1.00	1.00	35.87	0.88	-0.13	0.00	0.00	3.58
Tuples	13	402	124.00	99.50	4,464	MAX VALUE	161.88	100.18	0.81	3.51
Values	2	6	3.87	4.00	546	MAX VALUE	185.62	1.02	0.26	1.42
Value table constraints	2	2	2.00	2.00	282	MAX VALUE	97.73	0.00	0.00	0.00
Value table partitions	2	6	3.87	4.00	546	MAX VALUE	185.62	1.02	0.26	1.42

Tree decomposition

Number of clusters: 34
Number of leaves: 17
Tree depth: 5
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_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 64 24.68 17.00 839 MAX VALUE 104.77 13.81 0.56 2.30

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

Separator variables 0 48 20.53 14.00 698 0 None 10.33 0.50 2.26

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	64	24.68	17.00	839	MAX VALUE	104.77	13.81	0.56	2.30
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	48	20.53	14.00	698	0	None	10.33	0.50	2.26
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-18-141-46_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_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-18-141-46_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_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 65.04 0.00 -109.10 0.00 0.00 0.15

Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.96 0.53 0.04 0.68

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	65.04	0.00	-109.10	0.00	0.00	0.15
Degree	12	14	13.70	14.00	1,932	MAX VALUE	368.96	0.53	0.04	0.68
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: 46.05%
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 0.70 1.00 0.83 0.79 116.44 0.00 -27.88 0.09 0.11 3.82

Degree 12 101 64.47 80.00 9,090 MAX VALUE 562.28 30.90 0.48 3.22

Eccentricity 2 3 2.29 2.00 323 MAX VALUE 114.36 0.45 0.20 0.60

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	0.70	1.00	0.83	0.79	116.44	0.00	-27.88	0.09	0.11	3.82
Degree	12	101	64.47	80.00	9,090	MAX VALUE	562.28	30.90	0.48	3.22
Eccentricity	2	3	2.29	2.00	323	MAX VALUE	114.36	0.45	0.20	0.60
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Dual graph

Density: 22.38%
MCB compute time (ms): 8
MCB cycles: 120
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_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 4.00 480 MAX VALUE 166.35 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	480	MAX VALUE	166.35	0.00	0.00	0.00

Minimal dual graph

Density: 22.38%
MCB compute time (ms): 7
MCB cycles: 120

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 4.00 480 MAX VALUE 166.35 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	480	MAX VALUE	166.35	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 1.50

Degree 7 25 16.28 16.00 586 MAX VALUE 94.77 8.45 0.52 1.21

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	1.50
Degree	7	25	16.28	16.00	586	MAX VALUE	94.77	8.45	0.52	1.21
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 1.50

Degree 7 25 16.28 16.00 586 MAX VALUE 94.77 8.45 0.52 1.21

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	1.50
Degree	7	25	16.28	16.00	586	MAX VALUE	94.77	8.45	0.52	1.21
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): 76
MCB cycles: 106
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-46_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 6.11 6.00 1,082 MAX VALUE 320.18 0.35 0.06 0.36

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

XCSP 2.1 Benchmarks