XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-18-141-84_glb_ext
Number of variables: 141
Number of constraints: 36
Satisfiable: None
Timestamp: 2018-04-21 09:59:15
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 141
Number of constraints: 36

General features

Coarse blocks: 1,038
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 2 376 29.51 22.00 30,630 MAX VALUE 3,192.55 28.55 0.97 4.08

Relational linkage 0.00 0.01 0.00 0.00 1.23 0.00 -3,129.71 0.00 0.53 4.96

Tightness 0.99 1.00 1.00 1.00 35.87 0.87 -0.13 0.00 0.00 3.55

Tuples 16 632 107.19 103.00 3,859 MAX VALUE 158.94 99.77 0.93 3.51

Values 2 6 3.77 4.00 532 MAX VALUE 182.87 0.92 0.24 1.32

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 3.75 4.00 529 MAX VALUE 181.48 0.95 0.25 1.36

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	2	376	29.51	22.00	30,630	MAX VALUE	3,192.55	28.55	0.97	4.08
Relational linkage	0.00	0.01	0.00	0.00	1.23	0.00	-3,129.71	0.00	0.53	4.96
Tightness	0.99	1.00	1.00	1.00	35.87	0.87	-0.13	0.00	0.00	3.55
Tuples	16	632	107.19	103.00	3,859	MAX VALUE	158.94	99.77	0.93	3.51
Values	2	6	3.77	4.00	532	MAX VALUE	182.87	0.92	0.24	1.32
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	3.75	4.00	529	MAX VALUE	181.48	0.95	0.25	1.36

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-18-141-84_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-84_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-84_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 24.53 15.00 834 MAX VALUE 104.59 13.56 0.55 2.10

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

Separator variables 0 45 20.38 14.00 693 0 None 10.09 0.50 2.15

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	24.53	15.00	834	MAX VALUE	104.59	13.56	0.55	2.10
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	45	20.38	14.00	693	0	None	10.09	0.50	2.15
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-18-141-84_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-84_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-84_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-18-141-84_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-84_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-84_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 -109.07 0.00 0.00 0.10

Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.98 0.50 0.04 0.66

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	-109.07	0.00	0.00	0.10
Degree	12	14	13.70	14.00	1,932	MAX VALUE	368.98	0.50	0.04	0.66
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: 45.50%
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 0.80 116.08 0.00 -28.42 0.10 0.12 3.44

Degree 12 102 63.70 69.00 8,982 MAX VALUE 561.01 30.37 0.48 3.09

Eccentricity 2 3 2.35 2.00 332 MAX VALUE 118.01 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	0.68	1.00	0.82	0.80	116.08	0.00	-28.42	0.10	0.12	3.44
Degree	12	102	63.70	69.00	8,982	MAX VALUE	561.01	30.37	0.48	3.09
Eccentricity	2	3	2.35	2.00	332	MAX VALUE	118.01	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): 7
MCB cycles: 167
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-84_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-84_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-84_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 6 4.08 4.00 682 MAX VALUE 234.35 0.40 0.10 0.17

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	6	4.08	4.00	682	MAX VALUE	234.35	0.40	0.10	0.17

Minimal dual graph

Density: 22.38%
MCB compute time (ms): 6
MCB cycles: 167

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 6 4.08 4.00 682 MAX VALUE 234.35 0.40 0.10 0.17

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	6	4.08	4.00	682	MAX VALUE	234.35	0.40	0.10	0.17

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 1.60

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	1.60
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 1.60

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	1.60
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): 87
MCB cycles: 106
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-84_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-84_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-84_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