XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-15-106-3_glb_ext
Number of variables: 106
Number of constraints: 30
Satisfiable: None
Timestamp: 2018-04-21 09:58:16
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 106
Number of constraints: 30

General features

Coarse blocks: 779
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 1 125 19.06 15.00 14,845 MAX VALUE 2,087.42 14.73 0.77 3.64

Relational linkage 0.00 0.02 0.01 0.00 1.96 0.00 -2,069.21 0.00 0.50 4.51

Tightness 0.99 1.00 0.99 0.99 29.80 0.82 -0.20 0.00 0.00 3.35

Tuples 6 204 69.43 56.00 2,083 MAX VALUE 120.66 44.11 0.64 3.26

Values 2 6 3.75 4.00 398 MAX VALUE 136.34 0.98 0.26 1.37

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

Value table partitions 1 6 3.74 4.00 396 MAX VALUE 135.24 1.01 0.27 1.41

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	125	19.06	15.00	14,845	MAX VALUE	2,087.42	14.73	0.77	3.64
Relational linkage	0.00	0.02	0.01	0.00	1.96	0.00	-2,069.21	0.00	0.50	4.51
Tightness	0.99	1.00	0.99	0.99	29.80	0.82	-0.20	0.00	0.00	3.35
Tuples	6	204	69.43	56.00	2,083	MAX VALUE	120.66	44.11	0.64	3.26
Values	2	6	3.75	4.00	398	MAX VALUE	136.34	0.98	0.26	1.37
Value table constraints	2	2	2.00	2.00	212	8.11e+31	73.47	0.00	0.00	0.00
Value table partitions	1	6	3.74	4.00	396	MAX VALUE	135.24	1.01	0.27	1.41

Tree decomposition

Number of clusters: 28
Number of leaves: 14
Tree depth: 4
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_glb_ext/Tree1.json

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

Cluster constraints 0 2 1.07 1.50 30 0 None 0.96 0.90 0.90

Variables per cluster 13 49 21.00 16.00 588 5.89e+35 82.36 10.43 0.50 1.68

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

Separator variables 0 34 17.21 12.00 482 0 None 7.86 0.46 1.58

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	1.50	30	0	None	0.96	0.90	0.90
Variables per cluster	13	49	21.00	16.00	588	5.89e+35	82.36	10.43	0.50	1.68
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	34	17.21	12.00	482	0	None	7.86	0.46	1.58
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-15-106-3_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_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-15-106-3_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_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 -83.33 0.00 0.01 0.42

Degree 12 13 12.15 12.00 1,288 MAX VALUE 264.68 0.36 0.03 0.42

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	-83.33	0.00	0.01	0.42
Degree	12	13	12.15	12.00	1,288	MAX VALUE	264.68	0.36	0.03	0.42
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: 47.28%
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 0.81 87.22 0.00 -21.42 0.10 0.12 3.33

Degree 12 77 49.64 54.00 5,262 MAX VALUE 397.15 22.78 0.46 3.05

Eccentricity 2 3 2.31 2.00 245 5.25e+37 86.85 0.46 0.20 0.62

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	0.81	87.22	0.00	-21.42	0.10	0.12	3.33
Degree	12	77	49.64	54.00	5,262	MAX VALUE	397.15	22.78	0.46	3.05
Eccentricity	2	3	2.31	2.00	245	5.25e+37	86.85	0.46	0.20	0.62
MCB cycle size	None	None	None	None	None	None	None	None	None	None

Dual graph

Density: 24.37%
MCB compute time (ms): 4
MCB cycles: 131
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_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 4.02 4.00 526 MAX VALUE 182.01 0.17 0.04 0.04

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	4.02	4.00	526	MAX VALUE	182.01	0.17	0.04	0.04

Minimal dual graph

Density: 24.37%
MCB compute time (ms): 4
MCB cycles: 131

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 4.02 4.00 526 MAX VALUE 182.01 0.17 0.04 0.04

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	4.02	4.00	526	MAX VALUE	182.01	0.17	0.04	0.04

Triangulated dual graph

Density: 48.51%
Triangles: 777

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

Clustering coefficient 0.60 1.00 0.82 0.82 24.51 0.00 -6.84 0.18 0.22 1.13

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	0.60	1.00	0.82	0.82	24.51	0.00	-6.84	0.18	0.22	1.13
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 0.60 1.00 0.82 0.82 24.51 0.00 -6.84 0.18 0.22 1.13

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	0.60	1.00	0.82	0.82	24.51	0.00	-6.84	0.18	0.22	1.13
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): 44
MCB cycles: 77
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-3_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