XCSP 2.1 Benchmark Database

Instance: normalized-bqwh-18-141-34_glb_ext
Number of variables: 141
Number of constraints: 36
Satisfiable: None
Timestamp: 2018-04-21 09:59:02
Stampede: v1.0.0-1618-gfb467d2
Boost: 1.64.0

Component #1

Number of variables: 141
Number of constraints: 36

General features

Coarse blocks: 1,008
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 1 226 31.40 21.00 31,652 MAX VALUE 2,994.07 32.30 1.03 4.26

Relational linkage 0.00 0.01 0.00 0.00 1.11 0.00 -3,008.23 0.00 0.52 4.99

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

Tuples 7 554 110.56 72.00 3,980 MAX VALUE 151.68 118.03 1.07 3.47

Values 1 6 3.74 4.00 528 MAX VALUE 180.65 0.98 0.26 1.39

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 3.71 4.00 523 MAX VALUE 178.16 1.03 0.28 1.44

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	226	31.40	21.00	31,652	MAX VALUE	2,994.07	32.30	1.03	4.26
Relational linkage	0.00	0.01	0.00	0.00	1.11	0.00	-3,008.23	0.00	0.52	4.99
Tightness	0.99	1.00	1.00	1.00	35.88	0.89	-0.12	0.00	0.00	3.55
Tuples	7	554	110.56	72.00	3,980	MAX VALUE	151.68	118.03	1.07	3.47
Values	1	6	3.74	4.00	528	MAX VALUE	180.65	0.98	0.26	1.39
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	3.71	4.00	523	MAX VALUE	178.16	1.03	0.28	1.44

Tree decomposition

Number of clusters: 34
Number of leaves: 16
Tree depth: 4
CIR: None
Independent Cluster Pairs: None
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_glb_ext/Tree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_glb_ext/Tree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_glb_ext/Tree1.json

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

Cluster constraints 0 2 1.06 1.00 36 0 None 0.94 0.89 0.97

Variables per cluster 13 61 24.71 19.50 840 MAX VALUE 104.97 13.31 0.54 2.35

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

Separator variables 0 43 20.56 16.00 699 0 None 9.87 0.48 2.31

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	1.00	36	0	None	0.94	0.89	0.97
Variables per cluster	13	61	24.71	19.50	840	MAX VALUE	104.97	13.31	0.54	2.35
Separator constraints	0	0	0.00	0.00	0	0	None	0.00	None	0.00
Separator variables	0	43	20.56	16.00	699	0	None	9.87	0.48	2.31
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-18-141-34_glb_ext/DualTree1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_glb_ext/DualTree1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_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-18-141-34_glb_ext/Primal1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_glb_ext/Primal1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_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 65.07 0.00 -109.03 0.00 0.00 0.04

Degree 12 14 13.70 14.00 1,932 MAX VALUE 368.99 0.47 0.03 0.64

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	65.07	0.00	-109.03	0.00	0.00	0.04
Degree	12	14	13.70	14.00	1,932	MAX VALUE	368.99	0.47	0.03	0.64
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: 45.38%
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 0.83 115.77 0.00 -28.91 0.10 0.13 3.76

Degree 12 98 63.53 64.00 8,958 MAX VALUE 562.18 29.44 0.46 3.16

Eccentricity 2 3 2.26 2.00 319 MAX VALUE 112.74 0.44 0.19 0.58

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	0.83	115.77	0.00	-28.91	0.10	0.13	3.76
Degree	12	98	63.53	64.00	8,958	MAX VALUE	562.18	29.44	0.46	3.16
Eccentricity	2	3	2.26	2.00	319	MAX VALUE	112.74	0.44	0.19	0.58
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: 137
Triangles: 0
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_glb_ext/Dual1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_glb_ext/Dual1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_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 4.04 4.00 554 MAX VALUE 191.14 0.29 0.07 0.11

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	4.04	4.00	554	MAX VALUE	191.14	0.29	0.07	0.11

Minimal dual graph

Density: 22.38%
MCB compute time (ms): 6
MCB cycles: 137

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 4.04 4.00 554 MAX VALUE 191.14 0.29 0.07 0.11

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	4.04	4.00	554	MAX VALUE	191.14	0.29	0.07	0.11

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 0.84 29.54 0.00 -8.00 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	0.84	29.54	0.00	-8.00	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 0.84 29.54 0.00 -8.00 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	0.84	29.54	0.00	-8.00	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): 83
MCB cycles: 106
Dot-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_glb_ext/Incidence1.dot
PDF-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_glb_ext/Incidence1.pdf
JSON-file path: https://consystlab.unl.edu/Visualization/graphFiles/bqwh-18-141_glbExtConvert/normalized-bqwh-18-141-34_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