XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-15-106-28_glb_ext
Number of variables: 106
Number of constraints: 30
Satisfiable: None
Timestamp: 2018-04-21 09:57:57
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 106
Number of constraints: 30

General features

Coarse blocks: 738
Value tables: 106

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

Arity 7 8 7.07 7.00 212 2.94e+25 58.64 0.25 0.04 0.24

Coarse blocks size 1 114 17.82 14.00 13,152 MAX VALUE 1,831.64 16.47 0.92 3.65

Relational linkage 0.00 0.01 0.00 0.00 1.71 0.00 -1,951.75 0.00 0.56 4.45

Tightness 0.99 1.00 0.99 0.99 29.80 0.82 -0.20 0.00 0.00 3.31

Tuples 10 264 61.40 46.50 1,842 MAX VALUE 112.59 57.58 0.94 3.08

Values 2 6 3.63 4.00 385 MAX VALUE 132.84 0.93 0.26 1.32

Value table constraints 2 2 2.00 2.00 212 8.11e+31 73.47 0.00 0.00 0.00

Value table partitions 2 6 3.61 4.00 383 MAX VALUE 132.14 0.95 0.26 1.34

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	7	8	7.07	7.00	212	2.94e+25	58.64	0.25	0.04	0.24
Coarse blocks size	1	114	17.82	14.00	13,152	MAX VALUE	1,831.64	16.47	0.92	3.65
Relational linkage	0.00	0.01	0.00	0.00	1.71	0.00	-1,951.75	0.00	0.56	4.45
Tightness	0.99	1.00	0.99	0.99	29.80	0.82	-0.20	0.00	0.00	3.31
Tuples	10	264	61.40	46.50	1,842	MAX VALUE	112.59	57.58	0.94	3.08
Values	2	6	3.63	4.00	385	MAX VALUE	132.84	0.93	0.26	1.32
Value table constraints	2	2	2.00	2.00	212	8.11e+31	73.47	0.00	0.00	0.00
Value table partitions	2	6	3.61	4.00	383	MAX VALUE	132.14	0.95	0.26	1.34

Tree decomposition

Number of clusters: 28
Number of leaves: 15
Tree depth: 4
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_glb_ext/Tree1.json

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

Cluster constraints 0 2 1.07 2.00 30 0 None 1.00 0.93 0.69

Variables per cluster 13 49 21.00 14.00 588 5.28e+35 82.25 10.68 0.51 1.58

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

Separator variables 0 36 17.21 12.00 482 0 None 8.13 0.47 1.63

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	1.07	2.00	30	0	None	1.00	0.93	0.69
Variables per cluster	13	49	21.00	14.00	588	5.28e+35	82.25	10.68	0.51	1.58
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	36	17.21	12.00	482	0	None	8.13	0.47	1.63
Clusters per var	None	None	None	None	None	None	None	None	None	None

Dual tree decomposition

Number of clusters: 16
Number of leaves: 15
Tree depth: 1
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_glb_ext/DualTree1.json

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

Cluster constraints 0 8 6.62 7.00 106 0 None 1.73 0.26 0.46

Variables per cluster 8 15 8.50 8.00 136 5.94e+14 34.02 1.70 0.20 0.46

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

Separator variables 0 8 6.62 7.00 106 0 None 1.73 0.26 0.46

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	6.62	7.00	106	0	None	1.73	0.26	0.46
Variables per cluster	8	15	8.50	8.00	136	5.94e+14	34.02	1.70	0.20	0.46
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	8	6.62	7.00	106	0	None	1.73	0.26	0.46
Clusters per variable	None	None	None	None	None	None	None	None	None	None

Primal graph

Density: 11.57%
MCB compute time (ms): None
MCB cycles: None
Triangles: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_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 0.45 48.29 0.00 -83.35 0.00 0.01 0.41

Degree 12 14 12.15 12.00 1,288 MAX VALUE 264.68 0.38 0.03 0.44

Eccentricity 3 3 3.00 3.00 318 MAX VALUE 116.45 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	0.45	48.29	0.00	-83.35	0.00	0.01	0.41
Degree	12	14	12.15	12.00	1,288	MAX VALUE	264.68	0.38	0.03	0.44
Eccentricity	3	3	3.00	3.00	318	MAX VALUE	116.45	0.00	0.00	0.00
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Triangulated primal graph

Density: 47.51%
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 0.78 87.41 0.00 -21.17 0.10 0.12 2.90

Degree 12 78 49.89 60.00 5,288 MAX VALUE 397.46 22.91 0.46 2.89

Eccentricity 2 3 2.36 2.00 250 MAX VALUE 88.88 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	0.78	87.41	0.00	-21.17	0.10	0.12	2.90
Degree	12	78	49.89	60.00	5,288	MAX VALUE	397.46	22.91	0.46	2.89
Eccentricity	2	3	2.36	2.00	250	MAX VALUE	88.88	0.48	0.20	0.65
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Dual graph

Density: 24.37%
MCB compute time (ms): 5
MCB cycles: 79
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_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 7.07 7.00 212 2.94e+25 58.64 0.25 0.04 0.24

Eccentricity 3 3 3.00 3.00 90 2.06e+14 32.96 0.00 0.00 0.00

MCB cycle size 4 6 4.03 4.00 318 MAX VALUE 109.92 0.22 0.06 0.07

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	7.07	7.00	212	2.94e+25	58.64	0.25	0.04	0.24
Eccentricity	3	3	3.00	3.00	90	2.06e+14	32.96	0.00	0.00	0.00
MCB cycle size	4	6	4.03	4.00	318	MAX VALUE	109.92	0.22	0.06	0.07

Minimal dual graph

Density: 24.37%
MCB compute time (ms): 5
MCB cycles: 79

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 7.07 7.00 212 2.94e+25 58.64 0.25 0.04 0.24

Eccentricity 3 3 3.00 3.00 90 2.06e+14 32.96 0.00 0.00 0.00

MCB cycle size 4 6 4.03 4.00 318 MAX VALUE 109.92 0.22 0.06 0.07

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	7.07	7.00	212	2.94e+25	58.64	0.25	0.04	0.24
Eccentricity	3	3	3.00	3.00	90	2.06e+14	32.96	0.00	0.00	0.00
MCB cycle size	4	6	4.03	4.00	318	MAX VALUE	109.92	0.22	0.06	0.07

Triangulated dual graph

Density: 48.51%
Triangles: 777

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

Clustering coefficient 0.61 1.00 0.82 0.82 24.51 0.00 -6.84 0.18 0.22 1.14

Degree 7 22 14.07 14.50 422 3.87e+32 75.04 7.00 0.50 0.94

Eccentricity 2 2 2.00 2.00 60 1.07e+09 20.79 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.61	1.00	0.82	0.82	24.51	0.00	-6.84	0.18	0.22	1.14
Degree	7	22	14.07	14.50	422	3.87e+32	75.04	7.00	0.50	0.94
Eccentricity	2	2	2.00	2.00	60	1.07e+09	20.79	0.00	0.00	0.00

Triangulated minimal dual graph

Density: 48.51%

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

Clustering coefficient 0.61 1.00 0.82 0.82 24.51 0.00 -6.84 0.18 0.22 1.14

Degree 7 22 14.07 14.50 422 3.87e+32 75.04 7.00 0.50 0.94

Eccentricity 2 2 2.00 2.00 60 1.07e+09 20.79 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.61	1.00	0.82	0.82	24.51	0.00	-6.84	0.18	0.22	1.14
Degree	7	22	14.07	14.50	422	3.87e+32	75.04	7.00	0.50	0.94
Eccentricity	2	2	2.00	2.00	60	1.07e+09	20.79	0.00	0.00	0.00

Incidence graph

Density: 2.31%
MCB compute time (ms): 50
MCB cycles: 77
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-28_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 3.12 2.00 424 MAX VALUE 132.12 2.10 0.67 0.58

Eccentricity 6 6 6.00 6.00 816 MAX VALUE 243.68 0.00 0.00 0.00

MCB cycle size 8 8 8.00 8.00 616 MAX VALUE 160.12 0.00 0.00 0.00

XCSP 2.1 Benchmarks