XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-18-141-33_glb_ext
Number of variables: 141
Number of constraints: 36
Satisfiable: None
Timestamp: 2018-04-21 10:00:04
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 141
Number of constraints: 36

General features

Coarse blocks: 962
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 1 182 23.78 17.00 22,879 MAX VALUE 2,623.44 22.29 0.94 3.97

Relational linkage 0.00 0.01 0.00 0.00 1.07 0.00 -2,800.81 0.00 0.53 4.88

Tightness 0.99 1.00 1.00 1.00 35.88 0.89 -0.12 0.00 0.00 3.55

Tuples 3 262 80.08 54.00 2,883 MAX VALUE 139.87 71.69 0.90 3.47

Values 1 6 3.63 4.00 512 MAX VALUE 174.36 1.08 0.30 1.48

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 3.61 4.00 509 MAX VALUE 172.85 1.11 0.31 1.51

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	1	182	23.78	17.00	22,879	MAX VALUE	2,623.44	22.29	0.94	3.97
Relational linkage	0.00	0.01	0.00	0.00	1.07	0.00	-2,800.81	0.00	0.53	4.88
Tightness	0.99	1.00	1.00	1.00	35.88	0.89	-0.12	0.00	0.00	3.55
Tuples	3	262	80.08	54.00	2,883	MAX VALUE	139.87	71.69	0.90	3.47
Values	1	6	3.63	4.00	512	MAX VALUE	174.36	1.08	0.30	1.48
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	3.61	4.00	509	MAX VALUE	172.85	1.11	0.31	1.51

Tree decomposition

Number of clusters: 34
Number of leaves: 17
Tree depth: 5
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_glb_ext/Tree1.json

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

Cluster constraints 0 2 1.06 1.50 36 0 None 0.97 0.91 0.87

Variables per cluster 13 60 24.38 17.00 829 MAX VALUE 104.58 13.05 0.54 2.26

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

Separator variables 0 44 20.24 14.00 688 0 None 9.63 0.48 2.22

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	1.50	36	0	None	0.97	0.91	0.87
Variables per cluster	13	60	24.38	17.00	829	MAX VALUE	104.58	13.05	0.54	2.26
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	44	20.24	14.00	688	0	None	9.63	0.48	2.22
Clusters per var	None	None	None	None	None	None	None	None	None	None

Dual tree decomposition

Number of clusters: 19
Number of leaves: 18
Tree depth: 1
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_glb_ext/DualTree1.json

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

Cluster constraints 0 8 7.42 8.00 141 0 None 1.79 0.24 0.63

Variables per cluster 8 18 9.32 9.00 177 1.90e+18 42.09 2.08 0.22 0.63

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

Separator variables 0 8 7.42 8.00 141 0 None 1.79 0.24 0.63

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	7.42	8.00	141	0	None	1.79	0.24	0.63
Variables per cluster	8	18	9.32	9.00	177	1.90e+18	42.09	2.08	0.22	0.63
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	8	7.42	8.00	141	0	None	1.79	0.24	0.63
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-18-141-33_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_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 65.04 0.00 -109.10 0.00 0.00 0.15

Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.96 0.53 0.04 0.68

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	65.04	0.00	-109.10	0.00	0.00	0.15
Degree	12	14	13.70	14.00	1,932	MAX VALUE	368.96	0.53	0.04	0.68
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: 44.53%
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 0.66 1.00 0.82 0.79 115.47 0.00 -29.29 0.10 0.13 3.69

Degree 12 102 62.34 72.00 8,790 MAX VALUE 558.99 29.39 0.47 3.16

Eccentricity 2 3 2.29 2.00 323 MAX VALUE 114.36 0.45 0.20 0.60

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	0.66	1.00	0.82	0.79	115.47	0.00	-29.29	0.10	0.13	3.69
Degree	12	102	62.34	72.00	8,790	MAX VALUE	558.99	29.39	0.47	3.16
Eccentricity	2	3	2.29	2.00	323	MAX VALUE	114.36	0.45	0.20	0.60
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: 186
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_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 4.10 4.00 762 MAX VALUE 261.50 0.43 0.10 0.19

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	4.10	4.00	762	MAX VALUE	261.50	0.43	0.10	0.19

Minimal dual graph

Density: 22.38%
MCB compute time (ms): 6
MCB cycles: 186

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 4.10 4.00 762 MAX VALUE 261.50 0.43 0.10 0.19

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	4.10	4.00	762	MAX VALUE	261.50	0.43	0.10	0.19

Triangulated dual graph

Density: 46.67%
Triangles: 1,299

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

Clustering coefficient 0.63 1.00 0.82 0.83 29.54 0.00 -8.01 0.18 0.22 1.48

Degree 7 25 16.33 16.00 588 MAX VALUE 94.85 8.51 0.52 1.14

Eccentricity 2 3 2.06 2.00 74 1.55e+11 25.76 0.23 0.11 0.21

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.63	1.00	0.82	0.83	29.54	0.00	-8.01	0.18	0.22	1.48
Degree	7	25	16.33	16.00	588	MAX VALUE	94.85	8.51	0.52	1.14
Eccentricity	2	3	2.06	2.00	74	1.55e+11	25.76	0.23	0.11	0.21

Triangulated minimal dual graph

Density: 46.67%

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

Clustering coefficient 0.63 1.00 0.82 0.83 29.54 0.00 -8.01 0.18 0.22 1.48

Degree 7 25 16.33 16.00 588 MAX VALUE 94.85 8.51 0.52 1.14

Eccentricity 2 3 2.06 2.00 74 1.55e+11 25.76 0.23 0.11 0.21

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.63	1.00	0.82	0.83	29.54	0.00	-8.01	0.18	0.22	1.48
Degree	7	25	16.33	16.00	588	MAX VALUE	94.85	8.51	0.52	1.14
Eccentricity	2	3	2.06	2.00	74	1.55e+11	25.76	0.23	0.11	0.21

Incidence graph

Density: 1.81%
MCB compute time (ms): 78
MCB cycles: 106
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-33_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 1,081 MAX VALUE 320.03 0.34 0.06 0.35

MCB cycle size 8 8 8.00 8.00 848 MAX VALUE 220.42 0.00 0.00 0.00

XCSP 2.1 Benchmarks