XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-15-106-7_glb_ext
Number of variables: 106
Number of constraints: 30
Satisfiable: None
Timestamp: 2018-04-21 09:58:33
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 106
Number of constraints: 30

General features

Coarse blocks: 746
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 2 158 18.39 14.00 13,721 MAX VALUE 1,939.01 16.13 0.88 3.60

Relational linkage 0.00 0.02 0.01 0.01 2.10 0.00 -1,920.76 0.00 0.45 4.46

Tightness 0.97 1.00 0.99 0.99 29.76 0.79 -0.24 0.00 0.00 3.35

Tuples 9 256 63.77 44.50 1,913 MAX VALUE 116.31 54.43 0.85 3.22

Values 1 6 3.59 4.00 381 MAX VALUE 131.76 0.89 0.25 1.27

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 3.59 4.00 381 MAX VALUE 131.76 0.89 0.25 1.27

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	2	158	18.39	14.00	13,721	MAX VALUE	1,939.01	16.13	0.88	3.60
Relational linkage	0.00	0.02	0.01	0.01	2.10	0.00	-1,920.76	0.00	0.45	4.46
Tightness	0.97	1.00	0.99	0.99	29.76	0.79	-0.24	0.00	0.00	3.35
Tuples	9	256	63.77	44.50	1,913	MAX VALUE	116.31	54.43	0.85	3.22
Values	1	6	3.59	4.00	381	MAX VALUE	131.76	0.89	0.25	1.27
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	3.59	4.00	381	MAX VALUE	131.76	0.89	0.25	1.27

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-15-106-7_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_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 48 21.00 16.00 588 5.81e+35 82.35 10.48 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 8.01 0.47 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	48	21.00	16.00	588	5.81e+35	82.35	10.48	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	8.01	0.47	1.58
Clusters per var	None	None	None	None	None	None	None	None	None	None

Dual tree decomposition

Number of clusters: 17
Number of leaves: 15
Tree depth: 2
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_glb_ext/DualTree1.json

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

Cluster constraints 0 8 6.24 7.00 106 0 None 2.29 0.37 0.58

Variables per cluster 8 14 8.76 8.00 149 7.76e+15 36.59 1.93 0.22 0.58

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

Separator variables 0 13 7.00 7.00 119 0 None 2.25 0.32 0.66

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	6.24	7.00	106	0	None	2.29	0.37	0.58
Variables per cluster	8	14	8.76	8.00	149	7.76e+15	36.59	1.93	0.22	0.58
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	13	7.00	7.00	119	0	None	2.25	0.32	0.66
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-15-106-7_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_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: 46.94%
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 0.79 87.19 0.00 -21.48 0.10 0.12 3.33

Degree 12 78 49.28 56.00 5,224 MAX VALUE 396.31 22.77 0.46 3.12

Eccentricity 2 3 2.32 2.00 246 7.88e+37 87.26 0.47 0.20 0.63

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	0.79	87.19	0.00	-21.48	0.10	0.12	3.33
Degree	12	78	49.28	56.00	5,224	MAX VALUE	396.31	22.77	0.46	3.12
Eccentricity	2	3	2.32	2.00	246	7.88e+37	87.26	0.47	0.20	0.63
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: 80
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_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 4 3.13 3.00 94 6.51e+14 34.11 0.34 0.11 0.39

MCB cycle size 4 4 4.00 4.00 320 MAX VALUE 110.90 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	4	3.13	3.00	94	6.51e+14	34.11	0.34	0.11	0.39
MCB cycle size	4	4	4.00	4.00	320	MAX VALUE	110.90	0.00	0.00	0.00

Minimal dual graph

Density: 24.37%
MCB compute time (ms): 4
MCB cycles: 80

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 4 3.13 3.00 94 6.51e+14 34.11 0.34 0.11 0.39

MCB cycle size 4 4 4.00 4.00 320 MAX VALUE 110.90 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	4	3.13	3.00	94	6.51e+14	34.11	0.34	0.11	0.39
MCB cycle size	4	4	4.00	4.00	320	MAX VALUE	110.90	0.00	0.00	0.00

Triangulated dual graph

Density: 48.28%
Triangles: 764

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

Clustering coefficient 0.60 1.00 0.81 0.82 24.44 0.00 -6.94 0.19 0.23 1.32

Degree 7 22 14.00 14.00 420 3.51e+32 74.94 6.94 0.50 1.13

Eccentricity 2 3 2.07 2.00 62 2.42e+09 21.61 0.25 0.12 0.24

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.60	1.00	0.81	0.82	24.44	0.00	-6.94	0.19	0.23	1.32
Degree	7	22	14.00	14.00	420	3.51e+32	74.94	6.94	0.50	1.13
Eccentricity	2	3	2.07	2.00	62	2.42e+09	21.61	0.25	0.12	0.24

Triangulated minimal dual graph

Density: 48.28%

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

Clustering coefficient 0.60 1.00 0.81 0.82 24.44 0.00 -6.94 0.19 0.23 1.32

Degree 7 22 14.00 14.00 420 3.51e+32 74.94 6.94 0.50 1.13

Eccentricity 2 3 2.07 2.00 62 2.42e+09 21.61 0.25 0.12 0.24

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.60	1.00	0.81	0.82	24.44	0.00	-6.94	0.19	0.23	1.32
Degree	7	22	14.00	14.00	420	3.51e+32	74.94	6.94	0.50	1.13
Eccentricity	2	3	2.07	2.00	62	2.42e+09	21.61	0.25	0.12	0.24

Incidence graph

Density: 2.31%
MCB compute time (ms): 45
MCB cycles: 77
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-15-106_glbExtConvert/normalized-bqwh-15-106-7_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 8 6.26 6.00 851 MAX VALUE 248.99 0.50 0.08 0.62

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

XCSP 2.1 Benchmarks