XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-15-106-51_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: 745
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 99 16.26 12.00 12,117 MAX VALUE 1,779.36 15.03 0.92 3.61

Relational linkage 0.00 0.02 0.00 0.00 1.73 0.00 -1,987.31 0.00 0.60 4.55

Tightness 0.99 1.00 0.99 0.99 29.81 0.82 -0.19 0.00 0.00 3.35

Tuples 8 225 56.43 38.00 1,693 MAX VALUE 111.10 50.05 0.89 3.26

Values 1 6 3.64 4.00 386 MAX VALUE 132.25 0.98 0.27 1.38

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 3.64 4.00 386 MAX VALUE 132.25 0.98 0.27 1.38

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	99	16.26	12.00	12,117	MAX VALUE	1,779.36	15.03	0.92	3.61
Relational linkage	0.00	0.02	0.00	0.00	1.73	0.00	-1,987.31	0.00	0.60	4.55
Tightness	0.99	1.00	0.99	0.99	29.81	0.82	-0.19	0.00	0.00	3.35
Tuples	8	225	56.43	38.00	1,693	MAX VALUE	111.10	50.05	0.89	3.26
Values	1	6	3.64	4.00	386	MAX VALUE	132.25	0.98	0.27	1.38
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	3.64	4.00	386	MAX VALUE	132.25	0.98	0.27	1.38

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-15-106-51_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-51_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-51_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 50 21.00 16.00 588 5.68e+35 82.33 10.54 0.50 1.63

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 7.97 0.46 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	1.50	30	0	None	0.96	0.90	0.90
Variables per cluster	13	50	21.00	16.00	588	5.68e+35	82.33	10.54	0.50	1.63
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	7.97	0.46	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-15-106-51_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-51_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-51_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-15-106-51_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-51_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-51_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: 47.42%
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 0.67 1.00 0.82 0.80 87.35 0.00 -21.25 0.10 0.12 3.19

Degree 12 79 49.79 53.00 5,278 MAX VALUE 397.49 22.84 0.46 2.98

Eccentricity 2 3 2.25 2.00 239 4.61e+36 84.42 0.44 0.19 0.57

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	0.67	1.00	0.82	0.80	87.35	0.00	-21.25	0.10	0.12	3.19
Degree	12	79	49.79	53.00	5,278	MAX VALUE	397.49	22.84	0.46	2.98
Eccentricity	2	3	2.25	2.00	239	4.61e+36	84.42	0.44	0.19	0.57
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: 86
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-51_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-51_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-51_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 4 4.00 4.00 344 MAX VALUE 119.22 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	7.07	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	4	4.00	4.00	344	MAX VALUE	119.22	0.00	0.00	0.00

Minimal dual graph

Density: 24.37%
MCB compute time (ms): 4
MCB cycles: 86

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 4 4.00 4.00 344 MAX VALUE 119.22 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	7.07	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	4	4.00	4.00	344	MAX VALUE	119.22	0.00	0.00	0.00

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-15-106-51_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-51_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-51_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