algorithm
stringclasses 1
value | edge_list
stringlengths 8
5.95k
| node_count
int64 3
36
| edge_count
int64 1
630
| cycle_check
bool 2
classes | triangle_count
int64 0
7.14k
| node_degree_node
int64 0
35
| node_degree
int64 0
35
| connected_nodes_node
int64 0
35
| connected_nodes
stringlengths 0
94
| edge_existence_src
int64 0
35
| edge_existence_dst
int64 0
35
| edge_existence
bool 2
classes | reachability_src
int64 0
35
| reachability_dst
int64 0
35
| reachability
bool 2
classes | shortest_path_src
int64 0
35
| shortest_path_dst
int64 0
35
| shortest_path
int64 -1
20
|
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
erdos
|
[(0, 16), (0, 17), (1, 10), (1, 13), (1, 16), (2, 4), (2, 19), (3, 9), (3, 19), (4, 11), (5, 18), (6, 7), (6, 9), (7, 15), (8, 10), (8, 11), (10, 13), (11, 14), (12, 17), (15, 18)]
| 20
| 20
| true
| 1
| 3
| 2
| 0
|
16,17
| 8
| 7
| false
| 8
| 7
| true
| 8
| 7
| 8
|
erdos
|
[(0, 3), (0, 6), (0, 7), (1, 2), (1, 5), (2, 4), (4, 7), (6, 7)]
| 8
| 8
| true
| 1
| 0
| 3
| 4
|
2,7
| 2
| 7
| false
| 2
| 7
| true
| 2
| 7
| 2
|
erdos
|
[(0, 1), (0, 2), (1, 2), (1, 3), (2, 4), (2, 5), (2, 6), (3, 7), (4, 5), (4, 11), (4, 20), (5, 6), (5, 20), (5, 26), (7, 12), (7, 13), (7, 15), (8, 9), (9, 10), (10, 11), (10, 20), (10, 21), (11, 20), (11, 21), (12, 13), (12, 14), (12, 15), (12, 16), (13, 14), (13, 15), (14, 15), (14, 16), (14, 17), (15, 16), (15, 17), (16, 17), (18, 19), (18, 20), (18, 26), (19, 20), (20, 26), (22, 23), (22, 24), (22, 25), (22, 26), (23, 24), (23, 25), (24, 25), (24, 26), (25, 26)]
| 27
| 50
| true
| 30
| 13
| 4
| 16
|
12,14,15,17
| 17
| 22
| false
| 17
| 22
| true
| 17
| 22
| 8
|
erdos
|
[(0, 1), (0, 2), (0, 6), (0, 13), (1, 10), (1, 11), (1, 12), (1, 26), (3, 4), (3, 12), (4, 9), (4, 25), (5, 19), (6, 9), (6, 13), (6, 26), (7, 26), (8, 9), (8, 29), (9, 18), (9, 29), (10, 16), (10, 24), (10, 27), (12, 18), (13, 15), (13, 19), (14, 19), (14, 20), (17, 21), (17, 23), (20, 23), (21, 24), (22, 29), (26, 28)]
| 30
| 35
| true
| 2
| 8
| 2
| 13
|
0,6,15,19
| 15
| 8
| false
| 15
| 8
| true
| 15
| 8
| 4
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (0, 7), (1, 2), (1, 4), (1, 5), (1, 6), (1, 7), (2, 4), (2, 6), (2, 7), (2, 8), (3, 4), (3, 6), (3, 7), (3, 8), (4, 5), (4, 8), (5, 6), (5, 7), (6, 7), (6, 8), (7, 8)]
| 9
| 26
| true
| 28
| 1
| 6
| 6
|
0,1,2,3,5,7,8
| 0
| 3
| true
| 0
| 3
| true
| 0
| 3
| 1
|
erdos
|
[(0, 6), (0, 10), (0, 11), (1, 8), (2, 3), (3, 5), (3, 8), (4, 6), (4, 7), (9, 11), (11, 12)]
| 13
| 11
| false
| 0
| 5
| 1
| 1
|
8
| 6
| 8
| false
| 6
| 8
| false
| 6
| 8
| -1
|
erdos
|
[(0, 9), (0, 21), (1, 2), (1, 4), (1, 6), (1, 11), (1, 15), (2, 20), (2, 27), (3, 14), (4, 19), (5, 18), (5, 22), (6, 24), (6, 26), (7, 8), (7, 18), (8, 23), (9, 12), (10, 20), (11, 22), (12, 13), (12, 27), (13, 17), (14, 26), (15, 25), (16, 22), (17, 21), (23, 24), (24, 25)]
| 28
| 30
| true
| 0
| 17
| 2
| 10
|
20
| 4
| 17
| false
| 4
| 17
| true
| 4
| 17
| 6
|
erdos
|
[(0, 2), (1, 5), (1, 7), (2, 5), (3, 6), (4, 6), (5, 7), (6, 7)]
| 8
| 8
| true
| 1
| 1
| 2
| 5
|
1,2,7
| 6
| 1
| false
| 6
| 1
| true
| 6
| 1
| 2
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 3), (1, 4), (1, 6), (2, 5), (2, 9), (2, 10), (2, 11), (3, 6), (3, 16), (3, 17), (3, 20), (3, 21), (4, 6), (4, 19), (5, 9), (5, 17), (6, 19), (7, 8), (8, 15), (9, 10), (9, 11), (10, 11), (10, 14), (11, 14), (12, 13), (12, 14), (13, 15), (16, 17), (16, 21), (17, 18), (20, 21)]
| 22
| 36
| true
| 15
| 15
| 2
| 8
|
7,15
| 11
| 20
| false
| 11
| 20
| true
| 11
| 20
| 4
|
erdos
|
[(0, 7), (0, 8), (1, 18), (2, 6), (2, 21), (2, 22), (3, 5), (3, 11), (3, 16), (3, 19), (3, 23), (4, 6), (5, 13), (5, 19), (6, 9), (7, 8), (8, 10), (8, 18), (9, 14), (9, 17), (9, 21), (12, 16), (12, 19), (13, 20), (14, 15), (14, 21), (15, 21), (16, 19), (16, 21), (16, 23), (17, 21), (17, 22), (19, 23), (21, 22)]
| 24
| 34
| true
| 12
| 7
| 2
| 16
|
3,12,19,21,23
| 17
| 5
| false
| 17
| 5
| true
| 17
| 5
| 4
|
erdos
|
[(0, 1), (0, 2), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (2, 6), (2, 7), (2, 8), (3, 4), (3, 5), (3, 8), (4, 5), (4, 9), (4, 10), (5, 10), (6, 7), (7, 8), (7, 11), (8, 11), (9, 10), (9, 12), (10, 12), (11, 13), (13, 14)]
| 15
| 26
| true
| 12
| 4
| 5
| 0
|
1,2,6
| 14
| 11
| false
| 14
| 11
| true
| 14
| 11
| 2
|
erdos
|
[(0, 9), (1, 3), (2, 3), (3, 4), (3, 6), (4, 5), (4, 6), (5, 6), (7, 8), (7, 9), (8, 9), (8, 10), (9, 10)]
| 11
| 13
| true
| 4
| 9
| 4
| 3
|
1,2,4,6
| 7
| 8
| true
| 7
| 8
| true
| 7
| 8
| 1
|
erdos
|
[(0, 1), (0, 2), (0, 3), (1, 3), (1, 4), (2, 11), (2, 12), (3, 7), (3, 12), (4, 5), (4, 6), (4, 7), (4, 8), (5, 6), (6, 8), (6, 16), (7, 8), (7, 18), (8, 15), (8, 16), (8, 17), (8, 18), (9, 12), (9, 23), (10, 19), (10, 24), (10, 25), (10, 26), (11, 12), (13, 14), (14, 15), (15, 16), (15, 17), (15, 18), (16, 17), (16, 18), (19, 24), (19, 25), (19, 26), (20, 21), (20, 22), (21, 22), (21, 23), (22, 23), (24, 25), (24, 26), (25, 26)]
| 27
| 47
| true
| 26
| 4
| 5
| 14
|
13,15
| 17
| 9
| false
| 17
| 9
| true
| 17
| 9
| 5
|
erdos
|
[(0, 1), (0, 4), (1, 2), (1, 3), (2, 3), (2, 4), (3, 4), (3, 6), (5, 6)]
| 7
| 9
| true
| 2
| 0
| 2
| 1
|
0,2,3
| 1
| 5
| false
| 1
| 5
| true
| 1
| 5
| 3
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 3), (1, 4), (1, 6), (1, 7), (2, 3), (2, 5), (3, 5), (4, 18), (6, 16), (7, 15), (7, 16), (7, 17), (8, 9), (8, 10), (9, 10), (10, 11), (11, 13), (12, 13), (14, 15), (15, 17), (18, 19), (18, 20), (19, 20)]
| 21
| 28
| true
| 9
| 17
| 2
| 0
|
1,2,3,4,5
| 15
| 20
| false
| 15
| 20
| true
| 15
| 20
| 5
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (2, 3), (2, 6), (3, 6), (4, 5), (4, 6), (4, 13), (5, 6), (5, 13), (5, 20), (6, 7), (6, 20), (7, 20), (8, 14), (8, 15), (9, 12), (9, 16), (9, 17), (10, 11), (10, 17), (10, 27), (10, 29), (11, 17), (12, 17), (14, 15), (14, 22), (16, 25), (18, 19), (18, 20), (18, 21), (19, 21), (19, 23), (19, 28), (21, 23), (21, 26), (22, 24), (23, 28), (27, 29)]
| 30
| 45
| true
| 21
| 1
| 3
| 11
|
10,17
| 18
| 19
| true
| 18
| 19
| true
| 18
| 19
| 1
|
erdos
|
[(0, 1), (0, 5), (0, 6), (1, 5), (1, 7), (1, 8), (2, 3), (2, 4), (2, 5), (2, 6), (3, 4), (4, 11), (5, 6), (7, 8), (7, 9), (7, 10), (7, 12), (7, 14), (9, 10), (9, 12), (10, 12), (10, 13), (10, 14), (12, 13), (13, 14)]
| 15
| 25
| true
| 12
| 9
| 3
| 3
|
2,4
| 3
| 11
| false
| 3
| 11
| true
| 3
| 11
| 2
|
erdos
|
[(0, 1), (0, 3), (1, 2), (2, 4), (3, 4)]
| 5
| 5
| true
| 0
| 1
| 2
| 0
|
1,3
| 3
| 0
| true
| 3
| 0
| true
| 3
| 0
| 1
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 4), (1, 5), (1, 6), (1, 7), (1, 9), (2, 3), (2, 4), (2, 16), (2, 17), (2, 18), (2, 19), (3, 4), (3, 5), (3, 18), (3, 19), (4, 5), (4, 19), (5, 6), (6, 7), (6, 8), (6, 10), (7, 8), (7, 11), (8, 9), (8, 10), (8, 11), (8, 12), (9, 30), (10, 11), (10, 12), (10, 28), (11, 12), (11, 28), (12, 28), (13, 14), (13, 15), (14, 15), (15, 24), (15, 27), (16, 17), (16, 18), (16, 19), (16, 20), (16, 21), (16, 22), (17, 18), (17, 19), (17, 20), (17, 21), (17, 22), (18, 19), (18, 22), (18, 23), (20, 21), (20, 22), (21, 22), (24, 25), (24, 26), (24, 27), (25, 26), (25, 27), (26, 27), (29, 32), (29, 33), (30, 31), (31, 32), (32, 33)]
| 34
| 72
| true
| 56
| 19
| 6
| 18
|
2,3,16,17,19,22,23
| 9
| 16
| false
| 9
| 16
| true
| 9
| 16
| 4
|
erdos
|
[(0, 1), (0, 6), (0, 7), (1, 6), (1, 7), (1, 8), (2, 23), (3, 4), (3, 5), (4, 5), (5, 6), (5, 7), (5, 8), (5, 9), (6, 7), (7, 8), (9, 16), (9, 21), (9, 25), (10, 11), (10, 13), (10, 14), (10, 15), (11, 12), (11, 13), (11, 14), (11, 17), (11, 18), (12, 17), (13, 14), (13, 15), (14, 15), (16, 21), (16, 24), (17, 18), (19, 20), (19, 22), (19, 23), (21, 24), (22, 23)]
| 26
| 40
| true
| 20
| 15
| 3
| 5
|
3,4,6,7,8,9
| 17
| 6
| false
| 17
| 6
| false
| 17
| 6
| -1
|
erdos
|
[(0, 1), (0, 2), (0, 5), (0, 13), (1, 2), (1, 6), (2, 5), (2, 9), (2, 12), (3, 4), (3, 7), (3, 8), (3, 16), (3, 23), (4, 16), (4, 23), (5, 10), (5, 11), (5, 12), (5, 13), (6, 9), (6, 21), (7, 8), (7, 17), (7, 20), (7, 22), (7, 23), (8, 17), (8, 20), (9, 12), (9, 18), (9, 21), (10, 11), (10, 14), (10, 16), (10, 20), (11, 12), (11, 16), (12, 18), (12, 19), (13, 14), (14, 15), (14, 20), (15, 17), (15, 20), (17, 20), (17, 22), (18, 19)]
| 24
| 48
| true
| 23
| 18
| 3
| 5
|
0,2,10,11,12,13
| 2
| 7
| false
| 2
| 7
| true
| 2
| 7
| 4
|
erdos
|
[(0, 3), (0, 4), (0, 15), (0, 19), (0, 20), (0, 21), (0, 25), (0, 26), (0, 29), (1, 9), (1, 13), (1, 14), (1, 16), (1, 20), (1, 21), (1, 22), (1, 23), (1, 24), (1, 25), (2, 3), (2, 13), (2, 15), (2, 21), (3, 13), (3, 20), (4, 9), (4, 13), (4, 15), (4, 20), (4, 21), (4, 24), (4, 25), (5, 8), (5, 9), (5, 13), (5, 20), (5, 24), (6, 10), (6, 13), (6, 15), (6, 21), (6, 24), (7, 8), (7, 9), (7, 14), (7, 20), (7, 24), (8, 9), (8, 16), (8, 17), (8, 28), (9, 13), (9, 22), (9, 26), (9, 27), (10, 30), (11, 22), (12, 27), (13, 15), (13, 16), (13, 18), (13, 19), (13, 20), (13, 21), (13, 22), (13, 24), (13, 25), (13, 27), (13, 28), (13, 30), (14, 20), (14, 22), (14, 24), (15, 16), (15, 20), (15, 21), (15, 25), (15, 26), (15, 27), (15, 30), (16, 19), (16, 20), (16, 21), (16, 22), (16, 24), (16, 25), (16, 28), (17, 21), (17, 22), (17, 24), (18, 21), (18, 23), (19, 20), (19, 21), (19, 25), (20, 21), (20, 22), (20, 23), (20, 24), (20, 25), (20, 27), (20, 28), (20, 30), (21, 22), (21, 23), (21, 24), (21, 25), (21, 27), (21, 28), (21, 30), (22, 25), (22, 29), (23, 25), (24, 25), (24, 27), (24, 29), (24, 30), (25, 27)]
| 31
| 118
| true
| 168
| 14
| 5
| 14
|
1,7,20,22,24
| 9
| 29
| false
| 9
| 29
| true
| 9
| 29
| 2
|
erdos
|
[(0, 4), (1, 4), (1, 5), (2, 3), (3, 5)]
| 6
| 5
| false
| 0
| 3
| 2
| 0
|
4
| 5
| 4
| false
| 5
| 4
| true
| 5
| 4
| 2
|
erdos
|
[(0, 3), (0, 7), (1, 5), (1, 8), (2, 5), (2, 6), (3, 7), (4, 5), (4, 6), (4, 8), (4, 10), (6, 9), (6, 10), (7, 9), (8, 10), (9, 10)]
| 11
| 16
| true
| 4
| 6
| 4
| 4
|
5,6,8,10
| 4
| 8
| true
| 4
| 8
| true
| 4
| 8
| 1
|
erdos
|
[(0, 3), (1, 19), (2, 14), (3, 5), (3, 6), (3, 10), (4, 9), (4, 21), (5, 17), (6, 8), (6, 19), (7, 14), (8, 11), (8, 13), (9, 10), (9, 14), (12, 17), (13, 15), (14, 15), (16, 19), (16, 20), (17, 18), (18, 19)]
| 22
| 23
| true
| 0
| 2
| 1
| 9
|
4,10,14
| 13
| 7
| false
| 13
| 7
| true
| 13
| 7
| 3
|
erdos
|
[(0, 4), (0, 6), (0, 9), (1, 4), (2, 3), (2, 7), (2, 8), (3, 5), (3, 8), (4, 9), (6, 7), (6, 9)]
| 10
| 12
| true
| 3
| 1
| 1
| 1
|
4
| 6
| 7
| true
| 6
| 7
| true
| 6
| 7
| 1
|
erdos
|
[(0, 14), (0, 16), (0, 20), (1, 15), (1, 16), (1, 17), (1, 18), (1, 19), (2, 13), (3, 4), (3, 5), (3, 6), (3, 11), (4, 5), (4, 6), (4, 7), (4, 11), (5, 6), (5, 7), (5, 11), (6, 7), (6, 8), (7, 8), (8, 9), (9, 12), (10, 13), (14, 16), (15, 17), (16, 18), (16, 20), (17, 18), (17, 19), (18, 19)]
| 21
| 33
| true
| 19
| 14
| 2
| 16
|
0,1,14,18,20
| 3
| 19
| false
| 3
| 19
| false
| 3
| 19
| -1
|
erdos
|
[(0, 1), (0, 2), (0, 7), (0, 19), (1, 2), (1, 6), (1, 7), (1, 19), (2, 6), (2, 7), (2, 19), (3, 4), (3, 5), (4, 5), (4, 22), (5, 9), (5, 22), (6, 7), (6, 10), (6, 19), (7, 19), (8, 14), (8, 15), (8, 17), (8, 18), (9, 22), (9, 23), (11, 24), (12, 13), (12, 14), (12, 15), (12, 16), (12, 17), (13, 14), (13, 15), (13, 16), (13, 17), (14, 15), (14, 16), (14, 17), (15, 16), (15, 17), (16, 17), (20, 21), (20, 23), (21, 23), (22, 23)]
| 25
| 47
| true
| 44
| 21
| 2
| 1
|
0,2,6,7,19
| 3
| 5
| true
| 3
| 5
| true
| 3
| 5
| 1
|
erdos
|
[(0, 2), (0, 7), (0, 8), (0, 13), (1, 3), (1, 9), (1, 10), (1, 21), (2, 5), (2, 13), (2, 14), (3, 9), (3, 10), (3, 15), (3, 21), (4, 9), (4, 10), (5, 6), (5, 13), (5, 14), (5, 20), (6, 7), (6, 11), (6, 13), (7, 8), (7, 11), (8, 12), (9, 10), (9, 21), (14, 17), (14, 20), (15, 19), (16, 17), (18, 19)]
| 22
| 34
| true
| 15
| 3
| 5
| 9
|
1,3,4,10,21
| 14
| 4
| false
| 14
| 4
| false
| 14
| 4
| -1
|
erdos
|
[(0, 1), (2, 3), (2, 25), (4, 5), (6, 7), (7, 8), (7, 9), (7, 10), (11, 12), (13, 14), (13, 15), (13, 16), (13, 17), (13, 18), (13, 19), (13, 20), (13, 21), (13, 22), (13, 23), (13, 24)]
| 26
| 20
| false
| 0
| 10
| 1
| 16
|
13
| 19
| 25
| false
| 19
| 25
| false
| 19
| 25
| -1
|
erdos
|
[(0, 2), (0, 3), (1, 18), (1, 24), (1, 31), (2, 3), (2, 4), (2, 5), (3, 4), (4, 5), (4, 20), (4, 28), (5, 28), (6, 7), (6, 8), (6, 9), (7, 8), (7, 9), (7, 10), (8, 9), (8, 10), (8, 11), (8, 12), (9, 11), (10, 11), (10, 12), (10, 13), (12, 13), (12, 22), (14, 15), (14, 16), (14, 17), (15, 16), (15, 17), (15, 26), (15, 27), (16, 17), (16, 26), (18, 24), (19, 20), (19, 21), (20, 21), (20, 28), (20, 29), (21, 23), (21, 29), (21, 30), (23, 30), (25, 27), (27, 31), (28, 29), (29, 30)]
| 32
| 52
| true
| 25
| 4
| 5
| 11
|
8,9,10
| 22
| 23
| false
| 22
| 23
| false
| 22
| 23
| -1
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 8), (1, 9), (2, 4), (2, 6), (2, 7), (3, 4), (3, 10), (4, 5), (4, 6), (4, 7), (4, 10), (5, 6), (5, 11), (6, 7), (6, 11), (6, 18), (8, 9), (9, 22), (10, 15), (11, 18), (12, 13), (12, 14), (12, 24), (13, 14), (13, 15), (13, 24), (16, 17), (17, 19), (17, 20), (19, 20), (19, 21), (19, 22), (19, 23), (21, 22), (21, 23), (22, 23)]
| 25
| 44
| true
| 26
| 8
| 2
| 3
|
0,4,10
| 16
| 15
| false
| 16
| 15
| true
| 16
| 15
| 9
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 11), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 9), (1, 11), (1, 12), (1, 13), (1, 23), (1, 26), (2, 4), (2, 5), (2, 6), (2, 9), (2, 12), (2, 15), (2, 16), (2, 17), (2, 18), (2, 19), (2, 20), (3, 4), (3, 7), (3, 8), (3, 11), (3, 13), (3, 14), (3, 22), (3, 23), (3, 25), (3, 26), (3, 27), (4, 5), (4, 6), (4, 7), (4, 11), (5, 6), (6, 9), (6, 12), (7, 11), (8, 10), (8, 14), (8, 25), (8, 27), (9, 12), (9, 16), (9, 18), (9, 19), (10, 14), (10, 25), (11, 13), (11, 23), (11, 26), (12, 16), (12, 18), (12, 19), (13, 22), (13, 23), (13, 25), (13, 26), (13, 27), (14, 25), (14, 27), (15, 16), (15, 17), (15, 18), (15, 20), (15, 21), (16, 17), (16, 18), (16, 19), (16, 20), (16, 21), (16, 24), (17, 18), (17, 20), (18, 19), (18, 20), (20, 21), (21, 24), (22, 25), (22, 26), (22, 27), (23, 26), (25, 26), (25, 27), (26, 27)]
| 28
| 97
| true
| 140
| 27
| 7
| 19
|
2,9,12,16,18
| 16
| 27
| false
| 16
| 27
| true
| 16
| 27
| 4
|
erdos
|
[(0, 1), (0, 15), (0, 16), (1, 16), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (3, 12), (3, 23), (3, 24), (11, 12), (12, 13), (12, 14), (15, 20), (15, 22), (16, 17), (16, 18), (16, 19), (16, 21)]
| 25
| 25
| true
| 1
| 14
| 1
| 18
|
16
| 13
| 14
| false
| 13
| 14
| true
| 13
| 14
| 2
|
erdos
|
[(0, 1), (0, 5), (2, 3), (2, 7), (3, 4), (3, 6), (3, 7), (4, 6), (4, 7), (6, 7)]
| 8
| 10
| true
| 5
| 5
| 1
| 7
|
2,3,4,6
| 6
| 3
| true
| 6
| 3
| true
| 6
| 3
| 1
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 5), (0, 6), (1, 2), (1, 3), (2, 3), (2, 5), (3, 5), (4, 5), (4, 6), (5, 6), (7, 8), (7, 18), (8, 9), (8, 17), (9, 16), (9, 17), (10, 11), (10, 12), (12, 13), (14, 15), (14, 16), (14, 17), (16, 17)]
| 19
| 26
| true
| 12
| 8
| 3
| 10
|
11,12
| 6
| 7
| false
| 6
| 7
| false
| 6
| 7
| -1
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (3, 4), (3, 5), (3, 6), (3, 7), (4, 5), (4, 6), (4, 7), (5, 6), (5, 7), (6, 7)]
| 8
| 28
| true
| 56
| 3
| 7
| 1
|
0,2,3,4,5,6,7
| 4
| 6
| true
| 4
| 6
| true
| 4
| 6
| 1
|
erdos
|
[(0, 1), (0, 2), (0, 7), (0, 8), (0, 9), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 7), (2, 9), (2, 10), (3, 7), (3, 10), (4, 5), (4, 6), (5, 6), (7, 10), (9, 12), (11, 12), (11, 14), (12, 14), (13, 14)]
| 15
| 25
| true
| 13
| 2
| 6
| 7
|
0,2,3,10
| 5
| 9
| false
| 5
| 9
| true
| 5
| 9
| 3
|
erdos
|
[(0, 8), (0, 15), (0, 16), (1, 5), (1, 10), (1, 11), (2, 9), (2, 12), (2, 17), (3, 4), (3, 5), (3, 7), (3, 11), (3, 13), (3, 14), (4, 5), (4, 7), (4, 11), (4, 13), (4, 14), (5, 10), (5, 11), (6, 9), (6, 15), (6, 18), (7, 11), (7, 13), (7, 14), (7, 19), (8, 15), (8, 16), (9, 12), (9, 17), (9, 18), (10, 11), (11, 13), (11, 14), (11, 19), (12, 17), (12, 18), (13, 14), (13, 19), (14, 19), (17, 18)]
| 20
| 44
| true
| 43
| 8
| 3
| 12
|
2,9,17,18
| 17
| 13
| false
| 17
| 13
| false
| 17
| 13
| -1
|
erdos
|
[(0, 1), (0, 2), (0, 8), (0, 9), (0, 10), (1, 2), (1, 4), (1, 6), (1, 7), (3, 5), (4, 6), (5, 12), (6, 7), (6, 13), (7, 13), (7, 15), (8, 9), (8, 10), (8, 11), (9, 11), (9, 14), (10, 20), (12, 20), (13, 15), (13, 18), (15, 18), (15, 19), (16, 17), (16, 19), (17, 18)]
| 21
| 30
| true
| 9
| 16
| 2
| 14
|
9
| 10
| 17
| false
| 10
| 17
| true
| 10
| 17
| 6
|
erdos
|
[(0, 1), (0, 3), (1, 18), (2, 8), (4, 22), (5, 6), (5, 17), (6, 7), (8, 15), (8, 20), (9, 23), (10, 21), (11, 16), (11, 24), (12, 22), (12, 23), (13, 19), (13, 24), (14, 21), (17, 20), (18, 19), (21, 22)]
| 25
| 22
| false
| 0
| 4
| 1
| 24
|
11,13
| 15
| 16
| false
| 15
| 16
| false
| 15
| 16
| -1
|
erdos
|
[(0, 1), (1, 2), (2, 4), (3, 4)]
| 5
| 4
| false
| 0
| 3
| 1
| 3
|
4
| 0
| 1
| true
| 0
| 1
| true
| 0
| 1
| 1
|
erdos
|
[(0, 4), (0, 7), (0, 11), (0, 15), (1, 7), (1, 8), (2, 12), (2, 14), (3, 9), (4, 7), (4, 15), (5, 10), (5, 13), (5, 14), (6, 9), (7, 8), (7, 15), (8, 15), (9, 10), (9, 13), (10, 13), (10, 14), (11, 15), (12, 14), (13, 14)]
| 16
| 25
| true
| 13
| 9
| 4
| 1
|
7,8
| 15
| 0
| true
| 15
| 0
| true
| 15
| 0
| 1
|
erdos
|
[(0, 1), (0, 2), (0, 4), (0, 5), (1, 2), (1, 3), (2, 3), (2, 4), (3, 6), (5, 16), (6, 19), (6, 20), (7, 8), (7, 9), (7, 10), (8, 9), (10, 11), (11, 12), (11, 15), (12, 15), (13, 14), (13, 19), (13, 20), (14, 19), (17, 18), (17, 19)]
| 21
| 26
| true
| 6
| 6
| 3
| 19
|
6,13,14,17
| 3
| 10
| false
| 3
| 10
| false
| 3
| 10
| -1
|
erdos
|
[(0, 1), (0, 2), (1, 2), (2, 6), (3, 4), (3, 5), (4, 5), (5, 6)]
| 7
| 8
| true
| 2
| 6
| 2
| 6
|
2,5
| 0
| 4
| false
| 0
| 4
| true
| 0
| 4
| 4
|
erdos
|
[(0, 3), (0, 7), (1, 8), (1, 10), (1, 12), (2, 14), (4, 10), (4, 11), (5, 6), (5, 7), (7, 9), (7, 12), (8, 13), (8, 14), (8, 15), (10, 16), (13, 15), (15, 16)]
| 17
| 18
| true
| 1
| 4
| 2
| 6
|
5
| 3
| 8
| false
| 3
| 8
| true
| 3
| 8
| 5
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (2, 5), (2, 6), (2, 8), (2, 9), (3, 4), (4, 5), (5, 6), (6, 7), (6, 8), (6, 9), (7, 8), (7, 9), (7, 22), (7, 26), (8, 9), (8, 22), (8, 26), (9, 26), (10, 11), (10, 13), (11, 12), (11, 13), (11, 14), (11, 15), (11, 16), (12, 13), (12, 14), (12, 15), (12, 16), (13, 16), (14, 15), (14, 16), (14, 17), (14, 18), (15, 17), (15, 18), (15, 19), (17, 18), (17, 19), (17, 27), (17, 28), (18, 19), (18, 28), (19, 27), (19, 28), (20, 21), (20, 22), (20, 23), (20, 24), (20, 25), (20, 26), (21, 22), (21, 23), (22, 26), (23, 24), (23, 25), (23, 27), (23, 28), (24, 25), (24, 27), (24, 28), (25, 27), (27, 28)]
| 29
| 73
| true
| 63
| 12
| 5
| 6
|
0,2,5,7,8,9
| 10
| 28
| false
| 10
| 28
| true
| 10
| 28
| 4
|
erdos
|
[(0, 6), (0, 10), (0, 11), (0, 12), (1, 6), (1, 11), (1, 15), (2, 3), (2, 19), (2, 20), (3, 19), (3, 20), (4, 7), (4, 11), (4, 12), (5, 13), (6, 10), (6, 11), (6, 12), (6, 15), (7, 11), (7, 12), (7, 14), (8, 9), (8, 18), (10, 11), (10, 14), (10, 15), (11, 12), (11, 14), (11, 15), (12, 14), (12, 15), (14, 15), (16, 17), (16, 18), (16, 19), (17, 18), (18, 19)]
| 21
| 39
| true
| 30
| 2
| 3
| 19
|
2,3,16,18
| 8
| 4
| false
| 8
| 4
| false
| 8
| 4
| -1
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (2, 3), (2, 6), (3, 6), (4, 5), (4, 6), (4, 12), (5, 6), (5, 18), (6, 7), (6, 17), (6, 18), (7, 17), (7, 18), (7, 19), (8, 9), (8, 11), (9, 10), (10, 11), (10, 15), (12, 14), (13, 16), (15, 24), (17, 18), (17, 19), (18, 20), (19, 21), (19, 25), (19, 26), (22, 23), (23, 24), (25, 26)]
| 27
| 39
| true
| 18
| 6
| 8
| 22
|
23
| 2
| 15
| false
| 2
| 15
| false
| 2
| 15
| -1
|
erdos
|
[(0, 8), (0, 22), (1, 5), (1, 18), (2, 9), (2, 11), (2, 26), (3, 6), (3, 10), (3, 24), (4, 25), (5, 13), (6, 10), (7, 8), (7, 15), (7, 22), (9, 20), (9, 26), (11, 21), (12, 13), (12, 23), (13, 23), (14, 18), (14, 19), (15, 23), (16, 19), (16, 24), (17, 21), (19, 24), (20, 25), (20, 26), (23, 24)]
| 27
| 32
| true
| 5
| 2
| 3
| 18
|
1,14
| 5
| 21
| false
| 5
| 21
| false
| 5
| 21
| -1
|
erdos
|
[(0, 1), (0, 2), (0, 16), (1, 2), (1, 3), (1, 16), (2, 3), (2, 16), (4, 6), (4, 10), (5, 7), (5, 8), (5, 9), (6, 10), (6, 12), (7, 9), (8, 15), (9, 11), (10, 12), (10, 13), (10, 14), (12, 13), (13, 14)]
| 17
| 23
| true
| 10
| 13
| 3
| 16
|
0,1,2
| 8
| 3
| false
| 8
| 3
| false
| 8
| 3
| -1
|
erdos
|
[(0, 11), (1, 3), (1, 5), (1, 10), (2, 8), (2, 9), (4, 6), (4, 8), (5, 9), (5, 10), (6, 7), (7, 11)]
| 12
| 12
| true
| 1
| 7
| 2
| 9
|
2,5
| 11
| 5
| false
| 11
| 5
| true
| 11
| 5
| 7
|
erdos
|
[(0, 1), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (2, 6), (3, 6), (4, 5)]
| 7
| 9
| true
| 1
| 4
| 2
| 1
|
0,2,3
| 0
| 6
| true
| 0
| 6
| true
| 0
| 6
| 1
|
erdos
|
[(0, 8), (0, 16), (1, 2), (1, 9), (3, 9), (3, 15), (4, 17), (5, 18), (6, 13), (7, 16), (10, 14), (10, 15), (11, 16), (11, 17), (12, 15), (13, 20), (18, 19), (18, 20), (18, 21)]
| 22
| 19
| false
| 0
| 17
| 2
| 16
|
0,7,11
| 17
| 4
| true
| 17
| 4
| true
| 17
| 4
| 1
|
erdos
|
[(0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (2, 6), (2, 8), (3, 5), (3, 9), (4, 5), (4, 6), (4, 7), (5, 10), (6, 7), (7, 8), (8, 11), (8, 12), (8, 13), (9, 10), (9, 15), (9, 16), (10, 16), (12, 13), (13, 17), (14, 20), (15, 16), (17, 18), (18, 19), (19, 20)]
| 21
| 37
| true
| 22
| 11
| 1
| 10
|
5,9,16
| 12
| 6
| false
| 12
| 6
| true
| 12
| 6
| 3
|
erdos
|
[(0, 1), (0, 13), (0, 15), (1, 15), (2, 24), (2, 25), (3, 4), (3, 5), (3, 10), (4, 5), (4, 8), (4, 9), (5, 8), (5, 9), (5, 10), (5, 11), (6, 7), (6, 17), (6, 18), (6, 19), (7, 17), (7, 19), (7, 29), (8, 9), (8, 26), (8, 31), (10, 12), (11, 26), (11, 27), (11, 28), (11, 31), (13, 14), (13, 15), (13, 16), (14, 15), (14, 16), (15, 16), (17, 29), (18, 19), (20, 21), (20, 22), (20, 24), (21, 22), (21, 23), (22, 23), (22, 24), (22, 25), (23, 24), (23, 25), (24, 25), (26, 27), (26, 28), (26, 30), (26, 31), (27, 28), (27, 30), (27, 31), (28, 30)]
| 32
| 58
| true
| 35
| 12
| 1
| 27
|
11,26,28,30,31
| 23
| 3
| false
| 23
| 3
| false
| 23
| 3
| -1
|
erdos
|
[(0, 5), (0, 10), (0, 11), (0, 12), (1, 3), (1, 4), (1, 7), (1, 8), (2, 8), (2, 9), (3, 4), (4, 7), (4, 8), (4, 9), (5, 6), (5, 11), (6, 10), (6, 11), (7, 8), (8, 9), (10, 11)]
| 13
| 21
| true
| 11
| 5
| 3
| 9
|
2,4,8
| 0
| 5
| true
| 0
| 5
| true
| 0
| 5
| 1
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (2, 4), (2, 5), (2, 7), (3, 4), (3, 5), (3, 6), (3, 8), (4, 5), (6, 16), (8, 9), (8, 16), (9, 16), (10, 11), (10, 12), (10, 13), (10, 15), (11, 12), (11, 13), (11, 14), (12, 13), (13, 14), (13, 15), (17, 18), (17, 19)]
| 20
| 34
| true
| 24
| 12
| 3
| 12
|
10,11,13
| 6
| 19
| false
| 6
| 19
| false
| 6
| 19
| -1
|
erdos
|
[(0, 1), (0, 2), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (1, 2), (1, 3), (1, 4), (1, 5), (2, 4), (2, 10), (3, 5), (3, 11), (3, 12), (4, 5), (4, 13), (5, 13), (5, 14), (6, 7), (6, 23), (6, 24), (7, 8), (7, 23), (7, 25), (7, 27), (8, 9), (8, 27), (8, 28), (8, 29), (9, 10), (9, 29), (11, 20), (13, 14), (13, 19), (14, 19), (14, 20), (14, 30), (15, 16), (15, 21), (15, 22), (16, 17), (16, 22), (16, 23), (16, 24), (17, 18), (17, 23), (17, 25), (18, 25), (18, 26), (19, 30), (19, 31), (21, 22), (22, 24), (23, 24), (23, 25), (25, 26), (25, 27), (26, 27), (27, 28), (27, 29), (28, 29)]
| 32
| 63
| true
| 32
| 9
| 4
| 29
|
8,9,27,28
| 29
| 11
| false
| 29
| 11
| true
| 29
| 11
| 5
|
erdos
|
[(0, 2), (1, 2), (2, 3), (2, 4), (2, 5)]
| 6
| 5
| false
| 0
| 4
| 1
| 1
|
2
| 4
| 2
| true
| 4
| 2
| true
| 4
| 2
| 1
|
erdos
|
[(0, 7), (0, 19), (1, 7), (1, 21), (1, 24), (2, 3), (2, 17), (3, 9), (3, 12), (3, 24), (4, 25), (5, 12), (5, 15), (6, 8), (6, 27), (7, 17), (8, 10), (9, 11), (9, 22), (9, 25), (10, 16), (11, 13), (11, 15), (12, 14), (13, 20), (13, 21), (16, 26), (18, 19), (18, 23), (20, 26), (25, 27)]
| 28
| 31
| true
| 0
| 4
| 1
| 21
|
1,13
| 19
| 11
| false
| 19
| 11
| true
| 19
| 11
| 6
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 5), (2, 6), (3, 4), (4, 5), (6, 16), (6, 17), (7, 8), (7, 9), (8, 10), (8, 11), (9, 12), (10, 11), (10, 14), (10, 18), (12, 15), (13, 15), (13, 16), (14, 18), (16, 17)]
| 19
| 28
| true
| 12
| 14
| 2
| 6
|
2,16,17
| 2
| 3
| true
| 2
| 3
| true
| 2
| 3
| 1
|
erdos
|
[(0, 3), (0, 4), (0, 6), (1, 2), (1, 5), (4, 5)]
| 7
| 6
| false
| 0
| 0
| 3
| 6
|
0
| 1
| 5
| true
| 1
| 5
| true
| 1
| 5
| 1
|
erdos
|
[(0, 10), (1, 3), (1, 6), (1, 16), (2, 9), (2, 18), (3, 6), (3, 15), (4, 7), (4, 8), (4, 13), (5, 12), (5, 18), (6, 13), (7, 16), (8, 14), (9, 17), (10, 12), (11, 14), (15, 17)]
| 19
| 20
| true
| 1
| 18
| 2
| 11
|
14
| 18
| 3
| false
| 18
| 3
| true
| 18
| 3
| 5
|
erdos
|
[(0, 1), (0, 3), (0, 4), (0, 5), (0, 6), (1, 3), (1, 4), (1, 5), (1, 6), (2, 6), (3, 5), (3, 6), (4, 5), (5, 6)]
| 7
| 14
| true
| 13
| 5
| 5
| 3
|
0,1,5,6
| 0
| 4
| true
| 0
| 4
| true
| 0
| 4
| 1
|
erdos
|
[(0, 1), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 7), (2, 8), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (4, 5), (4, 6), (4, 8), (5, 6), (5, 7), (5, 8), (6, 7), (6, 8)]
| 9
| 30
| true
| 47
| 3
| 8
| 6
|
0,1,3,4,5,7,8
| 7
| 4
| false
| 7
| 4
| true
| 7
| 4
| 2
|
erdos
|
[(0, 1), (0, 3), (0, 4), (0, 6), (0, 7), (0, 9), (0, 10), (0, 13), (0, 14), (0, 16), (0, 17), (0, 19), (1, 2), (1, 3), (1, 4), (1, 7), (1, 9), (1, 10), (1, 11), (1, 14), (1, 15), (1, 16), (1, 17), (2, 5), (2, 7), (2, 8), (2, 10), (2, 11), (2, 12), (2, 13), (2, 14), (2, 15), (2, 16), (2, 17), (2, 18), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (3, 15), (3, 18), (3, 19), (4, 5), (4, 6), (4, 8), (4, 10), (4, 11), (4, 12), (4, 13), (4, 14), (4, 15), (4, 18), (5, 6), (5, 7), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (5, 14), (5, 15), (5, 16), (5, 17), (5, 19), (6, 8), (6, 9), (6, 10), (6, 11), (6, 13), (6, 14), (6, 16), (6, 18), (6, 19), (7, 8), (7, 9), (7, 11), (7, 12), (7, 13), (7, 15), (7, 17), (7, 18), (7, 19), (8, 9), (8, 10), (8, 12), (8, 13), (8, 14), (8, 15), (8, 16), (8, 17), (8, 19), (9, 10), (9, 11), (9, 12), (9, 13), (9, 14), (9, 15), (9, 16), (9, 17), (9, 18), (9, 19), (10, 11), (10, 12), (10, 13), (10, 16), (10, 17), (10, 18), (11, 12), (11, 14), (11, 15), (11, 16), (11, 17), (11, 18), (11, 19), (12, 13), (12, 14), (12, 15), (12, 16), (12, 17), (12, 18), (12, 19), (13, 14), (13, 15), (13, 16), (13, 17), (13, 18), (13, 19), (14, 18), (14, 19), (15, 16), (15, 17), (15, 18), (15, 19), (16, 17), (16, 18), (17, 18), (18, 19)]
| 20
| 144
| true
| 482
| 4
| 13
| 2
|
1,5,7,8,10,11,12,13,14,15,16,17,18
| 12
| 8
| true
| 12
| 8
| true
| 12
| 8
| 1
|
erdos
|
[(0, 1), (0, 3), (0, 6), (0, 7), (0, 8), (0, 13), (1, 2), (1, 3), (1, 5), (1, 7), (2, 3), (2, 5), (2, 7), (2, 10), (2, 11), (2, 12), (2, 14), (3, 6), (3, 7), (3, 8), (3, 10), (4, 9), (4, 17), (4, 20), (5, 7), (5, 9), (5, 11), (5, 12), (5, 14), (6, 7), (6, 8), (6, 13), (6, 23), (8, 13), (8, 22), (8, 23), (9, 12), (9, 17), (10, 11), (11, 12), (11, 14), (12, 14), (13, 22), (13, 23), (15, 16), (18, 19), (18, 20), (19, 20), (21, 22), (21, 23), (22, 23)]
| 24
| 51
| true
| 41
| 8
| 6
| 7
|
0,1,2,3,5,6
| 14
| 17
| false
| 14
| 17
| true
| 14
| 17
| 3
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 5), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 6), (2, 7), (2, 8), (3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (4, 7), (4, 8), (5, 6), (5, 21), (6, 7), (6, 20), (6, 21), (7, 8), (7, 24), (8, 24), (9, 13), (10, 15), (10, 16), (10, 17), (10, 18), (11, 12), (11, 19), (12, 14), (12, 15), (12, 19), (13, 20), (14, 15), (14, 16), (14, 17), (14, 18), (14, 19), (15, 16), (15, 17), (15, 18), (15, 19), (16, 17), (16, 18), (17, 18), (20, 21), (22, 23), (23, 24)]
| 25
| 53
| true
| 44
| 12
| 4
| 19
|
11,12,14,15
| 7
| 13
| false
| 7
| 13
| true
| 7
| 13
| 3
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6)]
| 7
| 21
| true
| 35
| 6
| 6
| 1
|
0,2,3,4,5,6
| 2
| 3
| true
| 2
| 3
| true
| 2
| 3
| 1
|
erdos
|
[(0, 2), (1, 3), (1, 8), (1, 13), (2, 3), (2, 12), (3, 12), (4, 7), (4, 8), (5, 10), (6, 8), (6, 11), (7, 9), (10, 11), (12, 13)]
| 14
| 15
| true
| 1
| 7
| 2
| 13
|
1,12
| 10
| 9
| false
| 10
| 9
| true
| 10
| 9
| 6
|
erdos
|
[(0, 1), (0, 10), (1, 2), (1, 11), (2, 12), (3, 4), (3, 11), (4, 12), (5, 19), (5, 22), (6, 7), (6, 23), (8, 14), (8, 16), (9, 14), (9, 24), (10, 11), (11, 12), (13, 14), (13, 15), (13, 16), (14, 15), (14, 16), (15, 16), (17, 18), (17, 19), (18, 19), (18, 20), (19, 20), (20, 21), (21, 23)]
| 25
| 31
| true
| 7
| 0
| 2
| 20
|
18,19,21
| 23
| 8
| false
| 23
| 8
| false
| 23
| 8
| -1
|
erdos
|
[(0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (2, 3), (2, 7), (2, 8), (2, 9), (3, 8), (3, 9), (4, 6), (4, 10), (5, 6), (6, 10), (6, 11), (6, 12), (7, 8), (7, 9), (7, 20), (8, 9), (11, 17), (11, 18), (12, 14), (12, 21), (13, 15), (14, 23), (15, 16), (17, 18), (19, 25), (20, 25), (21, 22), (21, 23), (22, 23), (22, 24)]
| 26
| 37
| true
| 14
| 7
| 4
| 18
|
11,17
| 3
| 10
| false
| 3
| 10
| true
| 3
| 10
| 4
|
erdos
|
[(0, 1), (0, 7), (1, 5), (2, 9), (2, 10), (3, 5), (3, 6), (4, 11), (6, 8), (6, 10), (7, 11), (8, 10), (9, 10)]
| 12
| 13
| true
| 2
| 4
| 1
| 3
|
5,6
| 1
| 8
| false
| 1
| 8
| true
| 1
| 8
| 4
|
erdos
|
[(0, 3), (0, 14), (0, 20), (0, 21), (0, 24), (0, 25), (1, 2), (1, 10), (1, 12), (1, 19), (1, 20), (1, 21), (2, 5), (2, 6), (2, 7), (2, 11), (2, 21), (3, 8), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (3, 20), (4, 7), (4, 22), (5, 12), (5, 25), (6, 9), (6, 10), (6, 12), (6, 13), (6, 25), (7, 10), (7, 20), (7, 22), (7, 25), (8, 10), (8, 12), (9, 18), (10, 12), (10, 13), (10, 14), (10, 15), (10, 17), (10, 25), (11, 25), (12, 14), (12, 19), (12, 21), (12, 22), (14, 21), (16, 19), (16, 20), (16, 25), (17, 19), (18, 19), (20, 21), (21, 25), (22, 23)]
| 26
| 60
| true
| 24
| 23
| 1
| 19
|
1,12,16,17,18
| 17
| 23
| false
| 17
| 23
| true
| 17
| 23
| 4
|
erdos
|
[(0, 3), (1, 8), (1, 10), (1, 11), (1, 12), (1, 21), (2, 13), (2, 14), (2, 19), (3, 4), (3, 5), (3, 16), (6, 7), (6, 9), (6, 22), (7, 22), (9, 22), (13, 14), (13, 15), (13, 17), (13, 18), (13, 19), (13, 20), (14, 15), (14, 17), (14, 19), (19, 20)]
| 23
| 27
| true
| 9
| 7
| 2
| 5
|
3
| 5
| 6
| false
| 5
| 6
| false
| 5
| 6
| -1
|
erdos
|
[(0, 2), (0, 5), (1, 6), (1, 7), (3, 9), (3, 14), (4, 7), (5, 12), (5, 14), (6, 8), (6, 9), (10, 11), (10, 12), (11, 16), (13, 17), (13, 18), (14, 15), (16, 18)]
| 19
| 18
| false
| 0
| 5
| 3
| 9
|
3,6
| 3
| 11
| false
| 3
| 11
| true
| 3
| 11
| 5
|
erdos
|
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6)]
| 7
| 21
| true
| 35
| 2
| 6
| 1
|
0,2,3,4,5,6
| 5
| 6
| true
| 5
| 6
| true
| 5
| 6
| 1
|
erdos
|
[(0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (2, 7), (2, 10), (2, 11), (3, 12), (3, 13), (3, 14), (3, 15), (4, 5), (4, 6), (4, 19), (4, 20), (4, 21), (5, 6), (5, 7), (5, 19), (5, 20), (5, 21), (5, 23), (6, 20), (7, 10), (7, 11), (8, 9), (9, 16), (9, 26), (10, 11), (12, 13), (12, 14), (12, 15), (12, 30), (13, 30), (14, 15), (14, 24), (15, 24), (16, 26), (16, 27), (17, 18), (17, 29), (18, 28), (19, 20), (19, 21), (19, 22), (19, 23), (21, 22), (21, 23), (22, 23), (25, 26), (25, 29), (25, 30), (26, 27), (26, 28), (27, 28)]
| 31
| 59
| true
| 36
| 16
| 3
| 7
|
0,2,5,10,11
| 6
| 30
| false
| 6
| 30
| true
| 6
| 30
| 5
|
erdos
|
[(0, 1), (0, 2), (1, 2)]
| 3
| 3
| true
| 1
| 0
| 2
| 0
|
1,2
| 2
| 1
| true
| 2
| 1
| true
| 2
| 1
| 1
|
erdos
|
[(0, 16), (1, 20), (2, 16), (2, 23), (3, 8), (3, 10), (4, 9), (4, 11), (4, 22), (5, 27), (6, 12), (7, 13), (7, 19), (8, 21), (11, 22), (11, 26), (12, 15), (12, 17), (13, 23), (13, 24), (14, 25), (17, 25), (18, 21), (19, 20), (20, 26), (21, 24), (22, 26), (23, 27), (25, 27)]
| 28
| 29
| true
| 2
| 16
| 2
| 6
|
12
| 19
| 27
| false
| 19
| 27
| true
| 19
| 27
| 4
|
erdos
|
[(0, 2), (0, 3), (0, 4), (1, 7), (2, 3), (2, 4), (2, 8), (3, 4), (3, 9), (3, 10), (4, 6), (4, 10), (5, 10), (5, 14), (7, 11), (8, 11), (8, 13), (9, 10), (9, 14), (10, 12), (10, 14)]
| 15
| 21
| true
| 8
| 0
| 3
| 4
|
0,2,3,6,10
| 1
| 12
| false
| 1
| 12
| true
| 1
| 12
| 7
|
erdos
|
[(0, 1), (0, 2), (1, 4), (1, 5), (1, 10), (2, 4), (3, 6), (3, 9), (5, 7), (6, 8), (7, 10)]
| 11
| 11
| true
| 0
| 4
| 2
| 8
|
6
| 0
| 2
| true
| 0
| 2
| true
| 0
| 2
| 1
|
erdos
|
[(0, 3), (0, 5), (1, 4), (2, 10), (3, 11), (5, 8), (5, 9), (6, 7), (6, 9), (7, 10), (8, 11)]
| 12
| 11
| true
| 0
| 3
| 2
| 3
|
0,11
| 9
| 4
| false
| 9
| 4
| false
| 9
| 4
| -1
|
erdos
|
[(0, 1), (1, 2), (2, 3), (2, 4), (3, 4)]
| 5
| 5
| true
| 1
| 4
| 2
| 0
|
1
| 4
| 3
| true
| 4
| 3
| true
| 4
| 3
| 1
|
erdos
|
[(0, 9), (1, 2), (1, 13), (1, 15), (2, 3), (3, 22), (4, 5), (4, 6), (6, 14), (7, 8), (8, 9), (9, 12), (10, 19), (11, 12), (13, 15), (16, 17), (16, 24), (17, 18), (18, 20), (20, 21), (22, 23)]
| 25
| 21
| true
| 1
| 1
| 3
| 19
|
10
| 18
| 3
| false
| 18
| 3
| false
| 18
| 3
| -1
|
erdos
|
[(0, 7), (0, 8), (0, 9), (1, 7), (1, 8), (1, 9), (1, 10), (2, 7), (2, 9), (3, 7), (3, 8), (4, 7), (4, 8), (4, 9), (4, 10), (5, 7), (5, 8), (5, 9), (5, 10), (6, 7), (6, 10)]
| 11
| 21
| true
| 0
| 3
| 2
| 6
|
7,10
| 8
| 5
| true
| 8
| 5
| true
| 8
| 5
| 1
|
erdos
|
[(0, 1), (0, 2), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (2, 5), (2, 7), (2, 8), (2, 9), (3, 4), (3, 5), (3, 9), (3, 12), (3, 13), (4, 14), (5, 9), (5, 12), (5, 13), (6, 11), (6, 15), (7, 8), (7, 16), (9, 12), (9, 13), (10, 12), (10, 13), (12, 13), (15, 16)]
| 17
| 31
| true
| 20
| 16
| 2
| 8
|
0,2,7
| 1
| 12
| false
| 1
| 12
| true
| 1
| 12
| 2
|
erdos
|
[(0, 1), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 9), (2, 5), (2, 7), (2, 22), (3, 4), (3, 9), (3, 10), (4, 14), (4, 15), (4, 16), (5, 6), (5, 7), (5, 17), (6, 9), (6, 13), (6, 17), (6, 24), (7, 8), (7, 22), (7, 23), (8, 14), (9, 10), (9, 13), (10, 11), (10, 12), (10, 13), (12, 13), (12, 24), (12, 25), (12, 26), (13, 24), (13, 25), (13, 26), (14, 27), (14, 28), (15, 16), (17, 24), (18, 19), (18, 20), (19, 20), (20, 25), (21, 22), (21, 23), (22, 23), (24, 25), (27, 28), (27, 29), (28, 29)]
| 30
| 59
| true
| 33
| 16
| 2
| 13
|
6,9,10,12,24,25,26
| 8
| 25
| false
| 8
| 25
| true
| 8
| 25
| 4
|
erdos
|
[(0, 4), (0, 10), (0, 13), (0, 19), (1, 9), (1, 24), (2, 14), (3, 7), (3, 8), (3, 16), (4, 23), (5, 14), (6, 22), (8, 22), (9, 11), (11, 20), (11, 25), (12, 14), (15, 22), (17, 23), (18, 21), (18, 24)]
| 26
| 22
| false
| 0
| 10
| 1
| 11
|
9,20,25
| 24
| 16
| false
| 24
| 16
| false
| 24
| 16
| -1
|
erdos
|
[(0, 12), (1, 6), (2, 8), (3, 6), (4, 13), (5, 6), (6, 8), (7, 13), (9, 13), (10, 12), (11, 13), (13, 14)]
| 15
| 12
| false
| 0
| 6
| 4
| 2
|
8
| 6
| 0
| false
| 6
| 0
| false
| 6
| 0
| -1
|
erdos
|
[(0, 6), (0, 25), (1, 16), (2, 24), (3, 6), (3, 20), (3, 24), (4, 12), (5, 25), (6, 21), (7, 16), (7, 18), (8, 17), (9, 12), (10, 13), (10, 26), (11, 25), (12, 21), (13, 23), (14, 19), (14, 25), (15, 22), (17, 22), (17, 27), (17, 29), (18, 26), (23, 24), (25, 29), (27, 28)]
| 30
| 29
| false
| 0
| 15
| 1
| 11
|
25
| 15
| 10
| false
| 15
| 10
| true
| 15
| 10
| 11
|
erdos
|
[(0, 1), (0, 4), (0, 5), (0, 6), (1, 3), (1, 4), (1, 5), (2, 3), (2, 8), (3, 8), (4, 5), (4, 6), (4, 7), (5, 6), (5, 7), (6, 7), (7, 9), (7, 10), (9, 10), (9, 14), (9, 23), (11, 12), (11, 21), (13, 17), (13, 19), (14, 21), (14, 23), (15, 16), (15, 17), (15, 18), (15, 20), (16, 17), (16, 19), (16, 22), (17, 18), (18, 22), (21, 23), (24, 25), (24, 26), (25, 26), (25, 27), (26, 27)]
| 28
| 42
| true
| 18
| 15
| 4
| 16
|
15,17,19,22
| 6
| 23
| false
| 6
| 23
| true
| 6
| 23
| 3
|
erdos
|
[(0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (1, 8), (1, 10), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5), (3, 8), (3, 10), (4, 5), (4, 6), (4, 8), (4, 10), (4, 11), (4, 13), (5, 6), (5, 8), (5, 10), (5, 11), (5, 12), (5, 13), (6, 10), (6, 11), (6, 13), (7, 8), (7, 10), (7, 12), (7, 13), (7, 14), (8, 10), (8, 12), (9, 13), (9, 14), (10, 11), (10, 12), (10, 13), (10, 14), (11, 13), (11, 14), (12, 13), (12, 14), (13, 14)]
| 15
| 51
| true
| 72
| 10
| 11
| 5
|
0,1,2,3,4,6,8,10,11,12,13
| 10
| 9
| false
| 10
| 9
| true
| 10
| 9
| 2
|
erdos
|
[(0, 3), (0, 4), (1, 2), (2, 3), (3, 4)]
| 5
| 5
| true
| 1
| 4
| 2
| 3
|
0,2,4
| 4
| 0
| true
| 4
| 0
| true
| 4
| 0
| 1
|
erdos
|
[(0, 1), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (3, 4), (3, 6)]
| 7
| 11
| true
| 7
| 0
| 3
| 1
|
0,2,3,4,5
| 3
| 2
| true
| 3
| 2
| true
| 3
| 2
| 1
|
erdos
|
[(0, 3), (0, 4), (1, 5), (2, 10), (2, 12), (3, 4), (4, 6), (5, 6), (5, 7), (5, 9), (6, 7), (6, 9), (8, 10), (8, 11), (8, 12), (10, 12), (11, 12)]
| 13
| 17
| true
| 6
| 3
| 2
| 6
|
4,5,7,9
| 7
| 11
| false
| 7
| 11
| false
| 7
| 11
| -1
|
erdos
|
[(0, 3), (0, 4), (1, 10), (1, 11), (2, 5), (2, 9), (3, 8), (4, 7), (5, 6), (5, 9), (6, 7)]
| 12
| 11
| true
| 1
| 0
| 2
| 11
|
1
| 9
| 8
| false
| 9
| 8
| true
| 9
| 8
| 7
|
erdos
|
[(0, 16), (0, 22), (1, 7), (1, 13), (2, 19), (2, 20), (3, 11), (3, 14), (3, 19), (4, 6), (4, 13), (4, 14), (5, 6), (5, 9), (5, 14), (5, 15), (5, 17), (6, 14), (6, 15), (7, 22), (8, 10), (8, 12), (8, 18), (9, 15), (9, 17), (10, 21), (11, 21), (12, 18), (13, 14), (14, 15), (14, 19)]
| 23
| 31
| true
| 10
| 3
| 3
| 0
|
16,22
| 8
| 0
| false
| 8
| 0
| true
| 8
| 0
| 10
|
erdos
|
[(0, 1), (0, 7), (1, 2), (2, 18), (3, 28), (4, 5), (4, 23), (4, 26), (5, 25), (6, 9), (6, 12), (7, 10), (7, 28), (8, 13), (8, 24), (10, 13), (10, 16), (11, 18), (11, 19), (12, 23), (13, 28), (14, 15), (14, 22), (15, 20), (15, 23), (16, 21), (17, 26), (20, 21), (20, 24), (21, 24), (23, 27), (25, 27)]
| 29
| 32
| true
| 1
| 16
| 2
| 24
|
8,20,21
| 0
| 18
| false
| 0
| 18
| true
| 0
| 18
| 3
|
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