XCSP 2.1 Benchmark Database

Component #1

Number of variables: 69
Number of constraints: 297

General features

Number of coarse blocks: 4,712
Number of unique subscopes: 64

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

Arity 2 2 2.00 2.00 594 MAX VALUE 205.87 0.00 0.00 0.00

Coarse blocks size 7 7 7.00 7.00 32,984 MAX VALUE 9,169.13 0.00 0.00 0.00

Relational linkage 0.88 0.88 0.88 0.88 448.00 0.00 -68.37 0.00 0.00 0.00

Tightness 0.12 0.12 0.12 0.12 37.12 0.00 -617.59 0.00 0.00 0.00

Tuples 56 56 56.00 56.00 16,632 MAX VALUE 1,195.53 0.00 0.00 0.00

Domain size 8 8 8.00 8.00 552 MAX VALUE 143.48 0.00 0.00 0.00

Constraints per subscope 2 53 9.20 9.00 589 MAX VALUE 127.67 7.34 0.80 2.47

Partitions per subscope 8 8 8.00 8.00 512 MAX VALUE 133.08 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Arity	2	2	2.00	2.00	594	MAX VALUE	205.87	0.00	0.00	0.00
Coarse blocks size	7	7	7.00	7.00	32,984	MAX VALUE	9,169.13	0.00	0.00	0.00
Relational linkage	0.88	0.88	0.88	0.88	448.00	0.00	-68.37	0.00	0.00	0.00
Tightness	0.12	0.12	0.12	0.12	37.12	0.00	-617.59	0.00	0.00	0.00
Tuples	56	56	56.00	56.00	16,632	MAX VALUE	1,195.53	0.00	0.00	0.00
Domain size	8	8	8.00	8.00	552	MAX VALUE	143.48	0.00	0.00	0.00
Constraints per subscope	2	53	9.20	9.00	589	MAX VALUE	127.67	7.34	0.80	2.47
Partitions per subscope	8	8	8.00	8.00	512	MAX VALUE	133.08	0.00	0.00	0.00

Tree decomposition

Number of clusters: 32
Number of leaves: 12
Tree depth: 7
Dot-file path: None
PDF-file path: None

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

Cluster constraints 1 55 13.97 10.00 447 3.48e+28 65.72 13.82 0.99 2.57

Cluster variables 2 11 5.25 5.00 168 2.15e+21 49.12 2.51 0.48 2.15

Separator constraints 0 15 4.69 3.00 150 0 None 5.01 1.07 2.01

Separator variables 0 6 3.09 3.00 99 0 None 1.79 0.58 1.79

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	1	55	13.97	10.00	447	3.48e+28	65.72	13.82	0.99	2.57
Cluster variables	2	11	5.25	5.00	168	2.15e+21	49.12	2.51	0.48	2.15
Separator constraints	0	15	4.69	3.00	150	0	None	5.01	1.07	2.01
Separator variables	0	6	3.09	3.00	99	0	None	1.79	0.58	1.79

Dual tree decomposition

Number of clusters: 64
Number of leaves: 23
Tree depth: 8
Dot-file path: None
PDF-file path: None

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

Cluster constraints 3 1,378 158.20 98.00 10,125 MAX VALUE 290.47 203.26 1.28 3.91

Cluster variables 3 54 22.84 19.00 1,462 MAX VALUE 189.53 12.34 0.54 3.39

Separator constraints 0 820 93.55 70.50 5,987 0 None 110.13 1.18 3.70

Separator variables 0 41 18.20 18.00 1,165 0 None 8.93 0.49 3.15

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Cluster constraints	3	1,378	158.20	98.00	10,125	MAX VALUE	290.47	203.26	1.28	3.91
Cluster variables	3	54	22.84	19.00	1,462	MAX VALUE	189.53	12.34	0.54	3.39
Separator constraints	0	820	93.55	70.50	5,987	0	None	110.13	1.18	3.70
Separator variables	0	41	18.20	18.00	1,165	0	None	8.93	0.49	3.15

Primal graph

Density: 12.66%
Dot-file path: None
PDF-file path: None

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

Clustering coefficient 0.14 1.00 None 1.00 None None None None None 2.83

Degree 1 53 8.61 8.00 594 MAX VALUE 127.67 7.38 0.86 2.55

Eccentricity 2 4 3.20 3.00 221 4.16e+34 79.71 0.44 0.14 0.60

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.14	1.00	None	1.00	None	None	None	None	None	2.83
Degree	1	53	8.61	8.00	594	MAX VALUE	127.67	7.38	0.86	2.55
Eccentricity	2	4	3.20	3.00	221	4.16e+34	79.71	0.44	0.14	0.60

Triangulated primal graph

Density: 12.92%

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

Clustering coefficient 0.15 1.00 None 1.00 None None None None None 2.77

Degree 1 54 8.78 8.00 606 MAX VALUE 128.70 7.56 0.86 2.57

Eccentricity 2 4 3.19 3.00 220 3.12e+34 79.43 0.43 0.13 0.58

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.15	1.00	None	1.00	None	None	None	None	None	2.77
Degree	1	54	8.78	8.00	606	MAX VALUE	128.70	7.56	0.86	2.57
Eccentricity	2	4	3.19	3.00	220	3.12e+34	79.43	0.43	0.13	0.58

Dual graph

Density: 9.41%
MCB compute time (ms): 1,500
MCB cycles: 3,865
Triangles: 35,398
Dot-file path: None
PDF-file path: None

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

Clustering coefficient 0.50 1.00 0.62 0.56 184.91 0.00 -146.07 0.13 0.20 4.01

Degree 2 76 27.87 22.00 8,276 MAX VALUE 940.02 16.64 0.60 3.44

Eccentricity 3 5 3.71 4.00 1,101 MAX VALUE 386.44 0.48 0.13 0.68

MCB cycle size 3 4 3.00 3.00 11,596 MAX VALUE 4,246.42 0.02 0.01 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.50	1.00	0.62	0.56	184.91	0.00	-146.07	0.13	0.20	4.01
Degree	2	76	27.87	22.00	8,276	MAX VALUE	940.02	16.64	0.60	3.44
Eccentricity	3	5	3.71	4.00	1,101	MAX VALUE	386.44	0.48	0.13	0.68
MCB cycle size	3	4	3.00	3.00	11,596	MAX VALUE	4,246.42	0.02	0.01	0.00

Minimal dual graph

Density: 1.19%
MCB compute time (ms): 388
MCB cycles: 229

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

Clustering coefficient 0.00 1.00 0.02 0.00 5.33 0.00 None 0.09 4.77 0.27

Degree 2 5 3.54 3.00 1,050 MAX VALUE 368.25 0.75 0.21 1.11

Eccentricity 7 11 8.95 9.00 2,657 MAX VALUE 649.48 0.84 0.09 1.24

MCB cycle size 3 10 6.30 6.00 1,442 MAX VALUE 415.28 1.39 0.22 1.74

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.00	1.00	0.02	0.00	5.33	0.00	None	0.09	4.77	0.27
Degree	2	5	3.54	3.00	1,050	MAX VALUE	368.25	0.75	0.21	1.11
Eccentricity	7	11	8.95	9.00	2,657	MAX VALUE	649.48	0.84	0.09	1.24
MCB cycle size	3	10	6.30	6.00	1,442	MAX VALUE	415.28	1.39	0.22	1.74

Triangulated dual graph

Density: 18.81%
Triangles: 131,103

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

Clustering coefficient 0.50 1.00 0.79 0.80 234.04 0.00 -75.52 0.14 0.17 4.64

Degree 2 122 55.67 49.00 16,534 MAX VALUE 1,137.10 29.80 0.54 4.10

Eccentricity 3 5 3.67 4.00 1,090 MAX VALUE 383.28 0.50 0.14 0.71

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.50	1.00	0.79	0.80	234.04	0.00	-75.52	0.14	0.17	4.64
Degree	2	122	55.67	49.00	16,534	MAX VALUE	1,137.10	29.80	0.54	4.10
Eccentricity	3	5	3.67	4.00	1,090	MAX VALUE	383.28	0.50	0.14	0.71

Triangulated minimal dual graph

Density: 5.72%

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

Clustering coefficient 0.40 1.00 0.75 0.68 224.16 0.00 -93.13 0.19 0.25 3.58

Degree 2 75 16.93 7.00 5,028 MAX VALUE 660.77 18.75 1.11 3.28

Eccentricity 4 7 5.16 5.00 1,532 MAX VALUE 484.29 0.73 0.14 1.09

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	0.40	1.00	0.75	0.68	224.16	0.00	-93.13	0.19	0.25	3.58
Degree	2	75	16.93	7.00	5,028	MAX VALUE	660.77	18.75	1.11	3.28
Eccentricity	4	7	5.16	5.00	1,532	MAX VALUE	484.29	0.73	0.14	1.09

Incidence graph

Density: 0.89%
MCB compute time (ms): 136
MCB cycles: 229
Dot-file path: None
PDF-file path: None

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

Clustering coefficient 0.00 0.00 None 0.00 None None None None None 0.67

Degree 1 53 3.25 2.00 1,188 MAX VALUE 333.54 4.12 1.27 0.88

Eccentricity 5 10 7.50 8.00 2,746 MAX VALUE 735.21 0.84 0.11 1.13

MCB cycle size 6 6 6.00 6.00 1,374 MAX VALUE 410.31 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	None	0.00	None	None	None	None	None	0.67
Degree	1	53	3.25	2.00	1,188	MAX VALUE	333.54	4.12	1.27	0.88
Eccentricity	5	10	7.50	8.00	2,746	MAX VALUE	735.21	0.84	0.11	1.13
MCB cycle size	6	6	6.00	6.00	1,374	MAX VALUE	410.31	0.00	0.00	0.00

Component #2

Number of variables: 2
Number of constraints: 1

General features

Number of coarse blocks: 0
Number of unique subscopes: 0

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

Arity 2 2 2.00 2.00 2 2 0.69 0.00 0.00 0.00

Coarse blocks size None None None None 0 1 0.00 None None 0.00

Relational linkage None None None None 0.00 1.00 0.00 None None 0.00

Tightness 0.12 0.12 0.12 0.12 0.12 0.12 -2.08 0.00 0.00 0.00

Tuples 56 56 56.00 56.00 56 56 4.03 0.00 0.00 0.00

Domain size 8 8 8.00 8.00 16 64 4.16 0.00 0.00 0.00

Constraints per subscope None None None None 0 1 0.00 None None 0.00

Partitions per subscope None None None None 0 1 0.00 None None 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV
Arity	2	2	2.00	2.00	2	2	0.69	0.00	0.00
Coarse blocks size	None	None	None	None	0	1	0.00	None	None
Relational linkage	None	None	None	None	0.00	1.00	0.00	None	None
Tightness	0.12	0.12	0.12	0.12	0.12	0.12	-2.08	0.00	0.00
Tuples	56	56	56.00	56.00	56	56	4.03	0.00	0.00
Domain size	8	8	8.00	8.00	16	64	4.16	0.00	0.00
Constraints per subscope	None	None	None	None	0	1	0.00	None	None
Partitions per subscope	None	None	None	None	0	1	0.00	None	None

Tree decomposition

Number of clusters: 1
Number of leaves: 1
Tree depth: 0
Dot-file path: None
PDF-file path: None

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

Cluster constraints 1 1 1.00 1.00 1 1 0.00 0.00 0.00 0.00

Cluster variables 2 2 2.00 2.00 2 2 0.69 0.00 0.00 0.00

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

Separator variables 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	COV
Cluster constraints	1	1	1.00	1.00	1	1	0.00	0.00
Cluster variables	2	2	2.00	2.00	2	2	0.69	0.00
Separator constraints	0	0	0.00	0.00	0	0	None	None
Separator variables	0	0	0.00	0.00	0	0	None	None

Dual tree decomposition

Number of clusters: 1
Number of leaves: 1
Tree depth: 0
Dot-file path: None
PDF-file path: None

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

Cluster constraints 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Cluster variables 1 1 1.00 1.00 1 1 0.00 0.00 0.00 0.00

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

Separator variables 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	COV
Cluster constraints	0	0	0.00	0.00	0	0	None	None
Cluster variables	1	1	1.00	1.00	1	1	0.00	0.00
Separator constraints	0	0	0.00	0.00	0	0	None	None
Separator variables	0	0	0.00	0.00	0	0	None	None

Primal graph

Density: 100.00%
Dot-file path: None
PDF-file path: None

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

Clustering coefficient None None None None None None None None None 0.69

Degree 1 1 1.00 1.00 2 1 0.00 0.00 0.00 0.00

Eccentricity 1 1 1.00 1.00 2 1 0.00 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	None	None	None	None	None	None	None	None	None	0.69
Degree	1	1	1.00	1.00	2	1	0.00	0.00	0.00	0.00
Eccentricity	1	1	1.00	1.00	2	1	0.00	0.00	0.00	0.00

Triangulated primal graph

Density: 100.00%

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

Clustering coefficient None None None None None None None None None 0.69

Degree 1 1 1.00 1.00 2 1 0.00 0.00 0.00 0.00

Eccentricity 1 1 1.00 1.00 2 1 0.00 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	None	None	None	None	None	None	None	None	None	0.69
Degree	1	1	1.00	1.00	2	1	0.00	0.00	0.00	0.00
Eccentricity	1	1	1.00	1.00	2	1	0.00	0.00	0.00	0.00

Dual graph

Density: None%
MCB compute time (ms): 0
MCB cycles: 0
Triangles: 0
Dot-file path: None
PDF-file path: None

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

Clustering coefficient None None None None None None None None None 0.00

Degree 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Eccentricity 0 0 0.00 0.00 0 0 None 0.00 None 0.00

MCB cycle size None None None None 0 1 0.00 None None 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV
Clustering coefficient	None	None	None	None	None	None	None	None	None
Degree	0	0	0.00	0.00	0	0	None	0.00	None
Eccentricity	0	0	0.00	0.00	0	0	None	0.00	None
MCB cycle size	None	None	None	None	0	1	0.00	None	None

Minimal dual graph

Density: None%
MCB compute time (ms): 0
MCB cycles: 0

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

Clustering coefficient None None None None None None None None None 0.00

Degree 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Eccentricity 0 0 0.00 0.00 0 0 None 0.00 None 0.00

MCB cycle size None None None None 0 1 0.00 None None 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV
Clustering coefficient	None	None	None	None	None	None	None	None	None
Degree	0	0	0.00	0.00	0	0	None	0.00	None
Eccentricity	0	0	0.00	0.00	0	0	None	0.00	None
MCB cycle size	None	None	None	None	0	1	0.00	None	None

Triangulated dual graph

Density: None%
Triangles: 0

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

Clustering coefficient None None None None None None None None None 0.00

Degree 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Eccentricity 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV
Clustering coefficient	None	None	None	None	None	None	None	None	None
Degree	0	0	0.00	0.00	0	0	None	0.00	None
Eccentricity	0	0	0.00	0.00	0	0	None	0.00	None

Triangulated minimal dual graph

Density: None%

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

Clustering coefficient None None None None None None None None None 0.00

Degree 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Eccentricity 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV
Clustering coefficient	None	None	None	None	None	None	None	None	None
Degree	0	0	0.00	0.00	0	0	None	0.00	None
Eccentricity	0	0	0.00	0.00	0	0	None	0.00	None

Incidence graph

Density: 66.67%
MCB compute time (ms): 0
MCB cycles: 0
Dot-file path: None
PDF-file path: None

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

Clustering coefficient None None None None None None None None None 1.10

Degree 1 2 1.33 1.00 4 2 0.69 0.47 0.35 0.64

Eccentricity 1 2 1.67 2.00 5 4 1.39 0.47 0.28 0.64

MCB cycle size None None None None 0 1 0.00 None None 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	std_dev	COV	ENT
Clustering coefficient	None	None	None	None	None	None	None	None	None	1.10
Degree	1	2	1.33	1.00	4	2	0.69	0.47	0.35	0.64
Eccentricity	1	2	1.67	2.00	5	4	1.39	0.47	0.28	0.64
MCB cycle size	None	None	None	None	0	1	0.00	None	None	0.00

Component #3

Number of variables: 3
Number of constraints: 3

General features

Number of coarse blocks: 48
Number of unique subscopes: 3

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

Arity 2 2 2.00 2.00 6 8 2.08 0.00 0.00 0.00

Coarse blocks size 7 7 7.00 7.00 336 MAX VALUE 93.40 0.00 0.00 0.00

Relational linkage 0.88 0.88 0.88 0.88 21.00 0.04 -3.20 0.00 0.00 0.00

Tightness 0.12 0.12 0.12 0.12 0.38 0.00 -6.24 0.00 0.00 0.00

Tuples 56 56 56.00 56.00 168 175,616 12.08 0.00 0.00 0.00

Domain size 8 8 8.00 8.00 24 512 6.24 0.00 0.00 0.00

Constraints per subscope 2 2 2.00 2.00 6 8 2.08 0.00 0.00 0.00

Partitions per subscope 8 8 8.00 8.00 24 512 6.24 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)
Arity	2	2	2.00	2.00	6	8	2.08
Coarse blocks size	7	7	7.00	7.00	336	MAX VALUE	93.40
Relational linkage	0.88	0.88	0.88	0.88	21.00	0.04	-3.20
Tightness	0.12	0.12	0.12	0.12	0.38	0.00	-6.24
Tuples	56	56	56.00	56.00	168	175,616	12.08
Domain size	8	8	8.00	8.00	24	512	6.24
Constraints per subscope	2	2	2.00	2.00	6	8	2.08
Partitions per subscope	8	8	8.00	8.00	24	512	6.24

Tree decomposition

Number of clusters: 1
Number of leaves: 1
Tree depth: 0
Dot-file path: None
PDF-file path: None

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

Cluster constraints 3 3 3.00 3.00 3 3 1.10 0.00 0.00 0.00

Cluster variables 3 3 3.00 3.00 3 3 1.10 0.00 0.00 0.00

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

Separator variables 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	COV
Cluster constraints	3	3	3.00	3.00	3	3	1.10	0.00
Cluster variables	3	3	3.00	3.00	3	3	1.10	0.00
Separator constraints	0	0	0.00	0.00	0	0	None	None
Separator variables	0	0	0.00	0.00	0	0	None	None

Dual tree decomposition

Number of clusters: 1
Number of leaves: 1
Tree depth: 0
Dot-file path: None
PDF-file path: None

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

Cluster constraints 3 3 3.00 3.00 3 3 1.10 0.00 0.00 0.00

Cluster variables 3 3 3.00 3.00 3 3 1.10 0.00 0.00 0.00

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

Separator variables 0 0 0.00 0.00 0 0 None 0.00 None 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)	COV
Cluster constraints	3	3	3.00	3.00	3	3	1.10	0.00
Cluster variables	3	3	3.00	3.00	3	3	1.10	0.00
Separator constraints	0	0	0.00	0.00	0	0	None	None
Separator variables	0	0	0.00	0.00	0	0	None	None

Primal graph

Density: 100.00%
Dot-file path: None
PDF-file path: None

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

Clustering coefficient 1.00 1.00 1.00 1.00 3.00 1.00 0.00 0.00 0.00 0.00

Degree 2 2 2.00 2.00 6 8 2.08 0.00 0.00 0.00

Eccentricity 1 1 1.00 1.00 3 1 0.00 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)
Clustering coefficient	1.00	1.00	1.00	1.00	3.00	1.00	0.00
Degree	2	2	2.00	2.00	6	8	2.08
Eccentricity	1	1	1.00	1.00	3	1	0.00

Triangulated primal graph

Density: 100.00%

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

Clustering coefficient 1.00 1.00 1.00 1.00 3.00 1.00 0.00 0.00 0.00 0.00

Degree 2 2 2.00 2.00 6 8 2.08 0.00 0.00 0.00

Eccentricity 1 1 1.00 1.00 3 1 0.00 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)
Clustering coefficient	1.00	1.00	1.00	1.00	3.00	1.00	0.00
Degree	2	2	2.00	2.00	6	8	2.08
Eccentricity	1	1	1.00	1.00	3	1	0.00

Dual graph

Density: 100.00%
MCB compute time (ms): 0
MCB cycles: 1
Triangles: 1
Dot-file path: None
PDF-file path: None

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

Clustering coefficient 1.00 1.00 1.00 1.00 3.00 1.00 0.00 0.00 0.00 0.00

Degree 2 2 2.00 2.00 6 8 2.08 0.00 0.00 0.00

Eccentricity 1 1 1.00 1.00 3 1 0.00 0.00 0.00 0.00

MCB cycle size 3 3 3.00 3.00 3 3 1.10 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)
Clustering coefficient	1.00	1.00	1.00	1.00	3.00	1.00	0.00
Degree	2	2	2.00	2.00	6	8	2.08
Eccentricity	1	1	1.00	1.00	3	1	0.00
MCB cycle size	3	3	3.00	3.00	3	3	1.10

Minimal dual graph

Density: 100.00%
MCB compute time (ms): 0
MCB cycles: 1

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

Clustering coefficient 1.00 1.00 1.00 1.00 3.00 1.00 0.00 0.00 0.00 0.00

Degree 2 2 2.00 2.00 6 8 2.08 0.00 0.00 0.00

Eccentricity 1 1 1.00 1.00 3 1 0.00 0.00 0.00 0.00

MCB cycle size 3 3 3.00 3.00 3 3 1.10 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)
Clustering coefficient	1.00	1.00	1.00	1.00	3.00	1.00	0.00
Degree	2	2	2.00	2.00	6	8	2.08
Eccentricity	1	1	1.00	1.00	3	1	0.00
MCB cycle size	3	3	3.00	3.00	3	3	1.10

Triangulated dual graph

Density: 100.00%
Triangles: 1

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

Clustering coefficient 1.00 1.00 1.00 1.00 3.00 1.00 0.00 0.00 0.00 0.00

Degree 2 2 2.00 2.00 6 8 2.08 0.00 0.00 0.00

Eccentricity 1 1 1.00 1.00 3 1 0.00 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)
Clustering coefficient	1.00	1.00	1.00	1.00	3.00	1.00	0.00
Degree	2	2	2.00	2.00	6	8	2.08
Eccentricity	1	1	1.00	1.00	3	1	0.00

Triangulated minimal dual graph

Density: 100.00%

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

Clustering coefficient 1.00 1.00 1.00 1.00 3.00 1.00 0.00 0.00 0.00 0.00

Degree 2 2 2.00 2.00 6 8 2.08 0.00 0.00 0.00

Eccentricity 1 1 1.00 1.00 3 1 0.00 0.00 0.00 0.00

Feature	min	max	mean	median	sum	prod	ln(prod)
Clustering coefficient	1.00	1.00	1.00	1.00	3.00	1.00	0.00
Degree	2	2	2.00	2.00	6	8	2.08
Eccentricity	1	1	1.00	1.00	3	1	0.00

Incidence graph

Density: 40.00%
MCB compute time (ms): 0
MCB cycles: 1
Dot-file path: None
PDF-file path: None

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 2 2.00 2.00 12 64 4.16 0.00 0.00 0.00

Eccentricity 3 3 3.00 3.00 18 729 6.59 0.00 0.00 0.00

MCB cycle size 6 6 6.00 6.00 6 6 1.79 0.00 0.00 0.00

XCSP 2.1 Benchmarks