XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-18-141-54_glb_ext
Number of variables: 141
Number of constraints: 36
Satisfiable: None
Timestamp: 2018-04-21 10:00:01
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 141
Number of constraints: 36

General features

Coarse blocks: 1,074
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 1 178 33.93 28.00 36,438 MAX VALUE 3,412.90 26.84 0.79 4.31

Relational linkage 0.00 0.01 0.00 0.00 1.26 0.00 -3,271.69 0.00 0.55 5.21

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

Tuples 21 330 127.75 108.50 4,599 MAX VALUE 164.33 88.52 0.69 3.38

Values 2 6 3.87 4.00 546 MAX VALUE 185.83 1.00 0.26 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 3.87 4.00 546 MAX VALUE 185.83 1.00 0.26 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	178	33.93	28.00	36,438	MAX VALUE	3,412.90	26.84	0.79	4.31
Relational linkage	0.00	0.01	0.00	0.00	1.26	0.00	-3,271.69	0.00	0.55	5.21
Tightness	0.99	1.00	1.00	1.00	35.87	0.88	-0.13	0.00	0.00	3.58
Tuples	21	330	127.75	108.50	4,599	MAX VALUE	164.33	88.52	0.69	3.38
Values	2	6	3.87	4.00	546	MAX VALUE	185.83	1.00	0.26	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	3.87	4.00	546	MAX VALUE	185.83	1.00	0.26	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-18-141-54_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-54_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-54_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 24.68 17.00 839 MAX VALUE 104.77 13.75 0.56 2.32

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

Separator variables 0 47 20.53 14.00 698 0 None 10.29 0.50 2.28

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	24.68	17.00	839	MAX VALUE	104.77	13.75	0.56	2.32
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	47	20.53	14.00	698	0	None	10.29	0.50	2.28
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-18-141-54_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-54_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-54_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-18-141-54_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-54_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-54_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 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	65.06	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	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: 45.90%
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 0.79 116.21 0.00 -28.22 0.10 0.12 3.76

Degree 12 101 64.26 79.00 9,060 MAX VALUE 562.37 30.48 0.47 3.35

Eccentricity 2 3 2.36 2.00 333 MAX VALUE 118.41 0.48 0.20 0.65

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	116.21	0.00	-28.22	0.10	0.12	3.76
Degree	12	101	64.26	79.00	9,060	MAX VALUE	562.37	30.48	0.47	3.35
Eccentricity	2	3	2.36	2.00	333	MAX VALUE	118.41	0.48	0.20	0.65
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: 106
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-54_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-54_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-54_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 4 4.00 4.00 424 MAX VALUE 146.95 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	3	3.00	3.00	108	1.50e+17	39.55	0.00	0.00	0.00
MCB cycle size	4	4	4.00	4.00	424	MAX VALUE	146.95	0.00	0.00	0.00

Minimal dual graph

Density: 22.38%
MCB compute time (ms): 9
MCB cycles: 106

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 4 4.00 4.00 424 MAX VALUE 146.95 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	3	3.00	3.00	108	1.50e+17	39.55	0.00	0.00	0.00
MCB cycle size	4	4	4.00	4.00	424	MAX VALUE	146.95	0.00	0.00	0.00

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): 81
MCB cycles: 106
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-54_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-54_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-54_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