XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-18-141-58_glb_ext
Number of variables: 141
Number of constraints: 36
Satisfiable: None
Timestamp: 2018-04-21 09:59:37
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 141
Number of constraints: 36

General features

Coarse blocks: 1,011
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 1 215 28.85 20.00 29,164 MAX VALUE 2,974.64 27.14 0.94 4.18

Relational linkage 0.00 0.01 0.00 0.00 1.09 0.00 -2,992.83 0.00 0.56 5.13

Tightness 0.98 1.00 1.00 1.00 35.87 0.88 -0.13 0.00 0.00 3.49

Tuples 9 392 101.72 72.00 3,662 MAX VALUE 151.92 92.80 0.91 3.47

Values 1 7 3.79 4.00 535 MAX VALUE 180.86 1.11 0.29 1.50

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 3.77 4.00 532 MAX VALUE 180.13 1.10 0.29 1.48

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	215	28.85	20.00	29,164	MAX VALUE	2,974.64	27.14	0.94	4.18
Relational linkage	0.00	0.01	0.00	0.00	1.09	0.00	-2,992.83	0.00	0.56	5.13
Tightness	0.98	1.00	1.00	1.00	35.87	0.88	-0.13	0.00	0.00	3.49
Tuples	9	392	101.72	72.00	3,662	MAX VALUE	151.92	92.80	0.91	3.47
Values	1	7	3.79	4.00	535	MAX VALUE	180.86	1.11	0.29	1.50
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	3.77	4.00	532	MAX VALUE	180.13	1.10	0.29	1.48

Tree decomposition

Number of clusters: 34
Number of leaves: 18
Tree depth: 4
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_glb_ext/Tree1.json

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

Cluster constraints 0 2 1.06 2.00 36 0 None 1.00 0.94 0.69

Variables per cluster 13 63 24.50 15.00 833 MAX VALUE 104.53 13.64 0.56 2.10

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

Separator variables 0 47 20.35 14.00 692 0 None 10.14 0.50 2.14

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	2.00	36	0	None	1.00	0.94	0.69
Variables per cluster	13	63	24.50	15.00	833	MAX VALUE	104.53	13.64	0.56	2.10
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	47	20.35	14.00	692	0	None	10.14	0.50	2.14
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-18-141-58_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_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-18-141-58_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_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 65.06 0.00 -109.05 0.00 0.00 0.07

Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.98 0.49 0.04 0.65

Eccentricity 3 4 3.01 3.00 425 MAX VALUE 155.48 0.12 0.04 0.07

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	65.06	0.00	-109.05	0.00	0.00	0.07
Degree	12	14	13.70	14.00	1,932	MAX VALUE	368.98	0.49	0.04	0.65
Eccentricity	3	4	3.01	3.00	425	MAX VALUE	155.48	0.12	0.04	0.07
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Triangulated primal graph

Density: 45.65%
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 0.69 1.00 0.82 0.79 116.14 0.00 -28.32 0.10 0.12 3.77

Degree 12 101 63.91 74.00 9,012 MAX VALUE 561.52 30.39 0.48 2.93

Eccentricity 2 3 2.27 2.00 320 MAX VALUE 113.14 0.44 0.20 0.58

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	0.69	1.00	0.82	0.79	116.14	0.00	-28.32	0.10	0.12	3.77
Degree	12	101	63.91	74.00	9,012	MAX VALUE	561.52	30.39	0.48	2.93
Eccentricity	2	3	2.27	2.00	320	MAX VALUE	113.14	0.44	0.20	0.58
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Dual graph

Density: 22.38%
MCB compute time (ms): 9
MCB cycles: 156
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_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 3.11 3.00 112 4.74e+17 40.70 0.31 0.10 0.35

MCB cycle size 4 6 4.04 4.00 630 MAX VALUE 217.48 0.27 0.07 0.10

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	3.11	3.00	112	4.74e+17	40.70	0.31	0.10	0.35
MCB cycle size	4	6	4.04	4.00	630	MAX VALUE	217.48	0.27	0.07	0.10

Minimal dual graph

Density: 22.38%
MCB compute time (ms): 7
MCB cycles: 156

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 3.11 3.00 112 4.74e+17 40.70 0.31 0.10 0.35

MCB cycle size 4 6 4.04 4.00 630 MAX VALUE 217.48 0.27 0.07 0.10

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	3.11	3.00	112	4.74e+17	40.70	0.31	0.10	0.35
MCB cycle size	4	6	4.04	4.00	630	MAX VALUE	217.48	0.27	0.07	0.10

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 1.53

Degree 7 25 16.28 15.50 586 MAX VALUE 94.76 8.46 0.52 1.25

Eccentricity 2 3 2.06 2.00 74 1.55e+11 25.76 0.23 0.11 0.21

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	1.53
Degree	7	25	16.28	15.50	586	MAX VALUE	94.76	8.46	0.52	1.25
Eccentricity	2	3	2.06	2.00	74	1.55e+11	25.76	0.23	0.11	0.21

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 1.53

Degree 7 25 16.28 15.50 586 MAX VALUE 94.76 8.46 0.52 1.25

Eccentricity 2 3 2.06 2.00 74 1.55e+11 25.76 0.23 0.11 0.21

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	1.53
Degree	7	25	16.28	15.50	586	MAX VALUE	94.76	8.46	0.52	1.25
Eccentricity	2	3	2.06	2.00	74	1.55e+11	25.76	0.23	0.11	0.21

Incidence graph

Density: 1.81%
MCB compute time (ms): 82
MCB cycles: 106
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-58_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 6.22 6.00 1,101 MAX VALUE 323.03 0.49 0.08 0.57

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

XCSP 2.1 Benchmarks