XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-18-141-55_glb_ext
Number of variables: 141
Number of constraints: 36
Satisfiable: None
Timestamp: 2018-04-21 09:59:59
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 141
Number of constraints: 36

General features

Coarse blocks: 1,008
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 1 117 20.66 16.00 20,824 MAX VALUE 2,721.35 16.82 0.81 3.79

Relational linkage 0.00 0.01 0.00 0.00 1.16 0.00 -3,084.87 0.00 0.57 4.94

Tightness 0.99 1.00 1.00 1.00 35.86 0.87 -0.14 0.00 0.00 3.55

Tuples 12 213 72.86 59.00 2,623 MAX VALUE 146.16 48.17 0.66 3.43

Values 2 6 3.63 4.00 512 MAX VALUE 175.83 1.02 0.28 1.41

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 3.63 4.00 512 MAX VALUE 175.83 1.02 0.28 1.41

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	117	20.66	16.00	20,824	MAX VALUE	2,721.35	16.82	0.81	3.79
Relational linkage	0.00	0.01	0.00	0.00	1.16	0.00	-3,084.87	0.00	0.57	4.94
Tightness	0.99	1.00	1.00	1.00	35.86	0.87	-0.14	0.00	0.00	3.55
Tuples	12	213	72.86	59.00	2,623	MAX VALUE	146.16	48.17	0.66	3.43
Values	2	6	3.63	4.00	512	MAX VALUE	175.83	1.02	0.28	1.41
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	3.63	4.00	512	MAX VALUE	175.83	1.02	0.28	1.41

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-18-141-55_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_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 63 24.65 17.00 838 MAX VALUE 104.74 13.72 0.56 2.25

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

Separator variables 0 45 20.50 14.00 697 0 None 10.22 0.50 2.21

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	63	24.65	17.00	838	MAX VALUE	104.74	13.72	0.56	2.25
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	45	20.50	14.00	697	0	None	10.22	0.50	2.21
Clusters per var	None	None	None	None	None	None	None	None	None	None

Dual tree decomposition

Number of clusters: 19
Number of leaves: 18
Tree depth: 1
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_glb_ext/DualTree1.json

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

Cluster constraints 0 8 7.42 8.00 141 0 None 1.79 0.24 0.63

Variables per cluster 8 18 9.32 9.00 177 1.90e+18 42.09 2.08 0.22 0.63

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

Separator variables 0 8 7.42 8.00 141 0 None 1.79 0.24 0.63

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	7.42	8.00	141	0	None	1.79	0.24	0.63
Variables per cluster	8	18	9.32	9.00	177	1.90e+18	42.09	2.08	0.22	0.63
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	8	7.42	8.00	141	0	None	1.79	0.24	0.63
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-18-141-55_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_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 65.07 0.00 -109.03 0.00 0.00 0.04

Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.99 0.47 0.03 0.64

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	65.07	0.00	-109.03	0.00	0.00	0.04
Degree	12	14	13.70	14.00	1,932	MAX VALUE	368.99	0.47	0.03	0.64
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: 45.95%
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 0.79 116.26 0.00 -28.16 0.10 0.12 3.60

Degree 12 102 64.33 78.00 9,070 MAX VALUE 562.48 30.51 0.47 3.18

Eccentricity 2 3 2.28 2.00 322 MAX VALUE 113.95 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	0.69	1.00	0.82	0.79	116.26	0.00	-28.16	0.10	0.12	3.60
Degree	12	102	64.33	78.00	9,070	MAX VALUE	562.48	30.51	0.47	3.18
Eccentricity	2	3	2.28	2.00	322	MAX VALUE	113.95	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): 7
MCB cycles: 119
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_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 3 3.00 3.00 108 1.50e+17 39.55 0.00 0.00 0.00

MCB cycle size 4 6 4.02 4.00 478 MAX VALUE 165.37 0.18 0.05 0.05

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	3	3.00	3.00	108	1.50e+17	39.55	0.00	0.00	0.00
MCB cycle size	4	6	4.02	4.00	478	MAX VALUE	165.37	0.18	0.05	0.05

Minimal dual graph

Density: 22.38%
MCB compute time (ms): 6
MCB cycles: 119

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 3 3.00 3.00 108 1.50e+17 39.55 0.00 0.00 0.00

MCB cycle size 4 6 4.02 4.00 478 MAX VALUE 165.37 0.18 0.05 0.05

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	3	3.00	3.00	108	1.50e+17	39.55	0.00	0.00	0.00
MCB cycle size	4	6	4.02	4.00	478	MAX VALUE	165.37	0.18	0.05	0.05

Triangulated dual graph

Density: 46.67%
Triangles: 1,299

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

Clustering coefficient 0.63 1.00 0.82 0.84 29.54 0.00 -8.00 0.18 0.22 1.38

Degree 7 25 16.33 16.00 588 MAX VALUE 94.85 8.51 0.52 1.14

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	0.84	29.54	0.00	-8.00	0.18	0.22	1.38
Degree	7	25	16.33	16.00	588	MAX VALUE	94.85	8.51	0.52	1.14
Eccentricity	2	2	2.00	2.00	72	6.87e+10	24.95	0.00	0.00	0.00

Triangulated minimal dual graph

Density: 46.67%

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

Clustering coefficient 0.63 1.00 0.82 0.84 29.54 0.00 -8.00 0.18 0.22 1.38

Degree 7 25 16.33 16.00 588 MAX VALUE 94.85 8.51 0.52 1.14

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	0.84	29.54	0.00	-8.00	0.18	0.22	1.38
Degree	7	25	16.33	16.00	588	MAX VALUE	94.85	8.51	0.52	1.14
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): 85
MCB cycles: 106
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-55_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 6 6.00 6.00 1,062 MAX VALUE 317.14 0.00 0.00 0.00

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

XCSP 2.1 Benchmarks