Datasets:
vstenby
/
erdos

Dataset card Data Studio Files
xet
Community
1
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, 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, 9), (4, 10), (5, 6), (5, 9), (5, 16), (6, 7), (6, 15), (6, 16), (7, 15), (7, 16), (8, 13), (8, 14), (11, 17), (12, 13), (12, 17), (15, 16)]
18
29
true
17
2
4
15
6,7,16
5
2
false
5
2
true
5
2
2
erdos
[(0, 1), (0, 3), (1, 6), (2, 4), (2, 5), (3, 4), (3, 6), (4, 5)]
7
8
true
1
5
2
4
2,3,5
4
0
false
4
0
true
4
0
2
erdos
[(0, 11), (0, 12), (0, 19), (1, 2), (1, 4), (2, 3), (2, 4), (4, 5), (4, 7), (5, 6), (5, 7), (5, 13), (6, 7), (6, 13), (8, 9), (8, 18), (8, 19), (9, 18), (10, 17), (12, 18), (12, 19), (14, 15), (15, 16), (16, 17), (18, 19)]
20
25
true
8
16
2
17
10,16
7
3
false
7
3
true
7
3
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 2), (1, 4), (1, 5), (2, 4), (2, 5), (2, 6), (2, 7), (3, 4), (5, 8), (6, 7)]
9
15
true
9
0
5
4
0,1,2,3
1
8
false
1
8
true
1
8
2
erdos
[(0, 10), (0, 12), (1, 2), (1, 3), (1, 5), (1, 6), (3, 13), (4, 7), (4, 8), (9, 10), (9, 11)]
14
11
false
0
1
4
1
2,3,5,6
7
2
false
7
2
false
7
2
-1
erdos
[(0, 2), (1, 10), (2, 13), (3, 4), (4, 5), (4, 6), (5, 7), (6, 7), (8, 11), (8, 13), (9, 10), (11, 12), (12, 13)]
14
13
true
0
6
2
13
2,8,12
6
2
false
6
2
false
6
2
-1
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 6), (3, 4), (4, 6), (5, 13), (5, 15), (6, 31), (6, 32), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (8, 9), (8, 10), (9, 10), (9, 11), (9, 12), (9, 13), (10, 11), (10, 12), (11, 12), (11, 13), (11, 14), (11, 15), (12, 13), (12, 14), (12, 15), (13, 14), (13, 15), (14, 15), (16, 17), (16, 19), (16, 21), (17, 18), (17, 21), (19, 20), (19, 21), (19, 22), (19, 23), (20, 22), (21, 23), (24, 25), (24, 26), (24, 27), (24, 28), (25, 26), (25, 27), (25, 28), (26, 28), (27, 28), (27, 30), (29, 31), (29, 32), (30, 31), (31, 32)]
33
63
true
47
28
4
26
24,25,28
6
1
false
6
1
true
6
1
2
erdos
[(0, 1), (0, 3), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 8), (2, 3), (2, 13), (2, 15), (3, 6), (3, 8), (3, 15), (4, 5), (4, 8), (4, 17), (5, 17), (6, 8), (7, 9), (9, 19), (9, 20), (10, 11), (10, 12), (11, 12), (11, 13), (11, 14), (11, 15), (12, 14), (12, 16), (13, 15), (14, 15), (14, 16), (15, 16), (18, 19), (18, 20), (19, 20)]
21
37
true
19
0
5
1
0,2,3,8
9
10
false
9
10
true
9
10
6
erdos
[(0, 5), (0, 18), (1, 4), (2, 16), (3, 11), (3, 16), (4, 17), (5, 14), (6, 8), (6, 9), (7, 10), (7, 14), (8, 13), (9, 12), (10, 11), (12, 17), (13, 15)]
19
17
false
0
15
1
14
5,7
2
16
true
2
16
true
2
16
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (1, 5), (2, 4), (2, 6), (2, 7), (3, 4), (3, 5), (4, 5), (4, 8), (5, 8), (6, 12), (8, 15), (8, 16), (9, 10), (9, 11), (9, 18), (9, 19), (10, 11), (10, 18), (10, 19), (11, 19), (12, 13), (12, 14), (12, 18), (13, 14), (13, 18), (14, 18), (15, 16), (15, 17), (16, 17)]
20
36
true
22
18
5
12
6,13,14,18
9
14
false
9
14
true
9
14
2
erdos
[(0, 1), (0, 22), (2, 3), (2, 4), (4, 5), (5, 18), (6, 16), (7, 8), (8, 11), (9, 10), (9, 16), (12, 13), (12, 15), (13, 14), (16, 17), (18, 19), (18, 20), (21, 22)]
23
18
false
0
19
1
1
0
13
15
false
13
15
true
13
15
2
erdos
[(0, 4), (0, 6), (0, 7), (0, 8), (0, 10), (0, 11), (0, 13), (1, 2), (2, 5), (2, 9), (3, 12), (4, 6), (4, 7), (4, 8), (4, 10), (4, 11), (4, 12), (4, 13), (5, 9), (6, 11), (6, 13), (7, 8), (7, 10), (7, 11), (7, 13), (8, 10), (8, 11), (8, 13), (10, 11), (10, 12), (10, 13), (11, 13)]
14
32
true
43
6
4
4
0,6,7,8,10,11,12,13
13
4
true
13
4
true
13
4
1
erdos
[(0, 1), (0, 4), (2, 3), (3, 4)]
5
4
false
0
2
1
2
3
4
3
true
4
3
true
4
3
1
erdos
[(0, 3), (1, 7), (2, 4), (2, 5), (3, 6), (3, 9), (4, 5), (6, 8), (7, 8)]
10
9
true
1
3
3
4
2,5
2
8
false
2
8
false
2
8
-1
erdos
[(0, 14), (0, 28), (0, 30), (1, 2), (1, 6), (1, 17), (1, 18), (1, 27), (3, 13), (4, 8), (4, 10), (5, 13), (7, 21), (8, 23), (9, 23), (11, 25), (11, 30), (12, 21), (13, 15), (13, 19), (13, 26), (16, 23), (20, 23), (21, 22), (21, 24), (21, 29)]
31
26
false
0
6
1
24
21
29
7
false
29
7
true
29
7
2
erdos
[(0, 1), (0, 2), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (2, 5), (2, 7), (3, 4), (4, 8), (5, 6), (5, 7), (5, 11), (6, 11), (7, 11), (8, 9), (8, 10), (9, 10), (10, 12)]
13
21
true
10
7
3
10
8,9,12
11
6
true
11
6
true
11
6
1
erdos
[(0, 5), (0, 11), (1, 2), (1, 3), (1, 8), (1, 9), (1, 15), (1, 17), (2, 3), (2, 8), (2, 9), (2, 10), (2, 11), (2, 14), (2, 15), (2, 17), (3, 5), (3, 6), (3, 8), (3, 9), (3, 10), (3, 13), (3, 14), (3, 15), (3, 18), (4, 7), (4, 8), (4, 10), (4, 11), (4, 15), (4, 18), (6, 8), (6, 15), (6, 17), (7, 9), (7, 10), (7, 13), (7, 15), (8, 9), (8, 15), (8, 17), (9, 10), (9, 13), (9, 15), (9, 18), (10, 16), (12, 13), (14, 15), (14, 16), (15, 18), (17, 18)]
19
51
true
44
16
2
16
10,14
2
11
true
2
11
true
2
11
1
erdos
[(0, 2), (0, 3), (0, 4), (0, 11), (1, 10), (1, 14), (1, 16), (2, 5), (2, 6), (2, 11), (3, 4), (3, 11), (3, 12), (3, 15), (4, 7), (4, 12), (5, 6), (5, 8), (5, 11), (6, 8), (6, 9), (7, 10), (7, 12), (7, 14), (8, 9), (8, 13), (10, 12), (10, 14), (14, 16)]
17
29
true
13
7
4
3
0,4,11,12,15
2
1
false
2
1
true
2
1
5
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
2
7
2
0,1,3,4,5,6,7
1
5
true
1
5
true
1
5
1
erdos
[(0, 2), (0, 3), (1, 19), (1, 20), (1, 27), (1, 31), (2, 4), (2, 5), (3, 22), (4, 5), (4, 6), (5, 6), (5, 24), (6, 24), (7, 8), (7, 9), (7, 10), (7, 13), (8, 9), (8, 10), (9, 10), (9, 13), (9, 18), (10, 13), (11, 12), (11, 14), (12, 14), (13, 17), (13, 21), (14, 22), (14, 26), (15, 16), (15, 17), (16, 17), (17, 18), (17, 21), (19, 20), (19, 27), (19, 31), (20, 27), (21, 22), (22, 26), (23, 25), (25, 28), (25, 29), (28, 29), (30, 31)]
32
47
true
20
28
2
28
25,29
3
1
false
3
1
false
3
1
-1
erdos
[(0, 1), (0, 4), (1, 4), (1, 5), (2, 3), (2, 5), (2, 7), (3, 5), (3, 6), (3, 7), (4, 5), (6, 7)]
8
12
true
5
3
4
1
0,4,5
2
1
false
2
1
true
2
1
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (0, 15), (0, 16), (0, 17), (0, 18), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 8), (1, 9), (1, 10), (1, 11), (1, 13), (1, 15), (1, 16), (1, 17), (1, 18), (2, 3), (2, 4), (2, 5), (2, 6), (2, 8), (2, 9), (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, 10), (3, 11), (3, 12), (3, 13), (3, 14), (3, 15), (3, 16), (3, 17), (3, 18), (4, 6), (4, 7), (4, 8), (4, 9), (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, 13), (5, 14), (5, 15), (5, 16), (5, 17), (5, 18), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (6, 15), (6, 16), (6, 17), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 14), (7, 15), (7, 16), (7, 17), (7, 18), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (8, 14), (8, 15), (8, 16), (8, 17), (8, 18), (9, 10), (9, 12), (9, 13), (9, 14), (9, 15), (9, 16), (9, 18), (10, 11), (10, 12), (10, 13), (10, 14), (10, 15), (10, 16), (10, 17), (10, 18), (11, 12), (11, 13), (11, 14), (11, 15), (11, 16), (11, 17), (11, 18), (12, 13), (12, 15), (12, 16), (12, 17), (12, 18), (13, 14), (13, 15), (13, 16), (13, 17), (13, 18), (14, 15), (14, 16), (14, 17), (15, 16), (16, 17), (16, 18), (17, 18)]
19
153
true
689
18
15
8
0,1,2,4,5,6,7,9,10,11,12,13,14,15,16,17,18
17
13
true
17
13
true
17
13
1
erdos
[(0, 6), (1, 21), (1, 22), (2, 3), (3, 8), (4, 11), (5, 22), (6, 9), (6, 16), (7, 8), (10, 11), (11, 24), (12, 23), (13, 14), (14, 22), (15, 20), (16, 17), (18, 23), (19, 20), (21, 24)]
25
20
false
0
9
1
15
20
0
11
false
0
11
false
0
11
-1
erdos
[(0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 14), (0, 15), (0, 16), (0, 17), (0, 18), (0, 19), (0, 20), (0, 21), (0, 23), (0, 24), (0, 27), (1, 3), (1, 4), (1, 6), (1, 8), (1, 10), (1, 11), (1, 13), (1, 17), (1, 21), (1, 25), (1, 26), (2, 3), (2, 4), (2, 5), (2, 11), (2, 12), (2, 22), (2, 26), (3, 4), (3, 5), (3, 11), (3, 12), (3, 13), (3, 22), (3, 25), (3, 26), (4, 5), (4, 11), (4, 12), (4, 13), (4, 22), (4, 25), (4, 26), (5, 11), (5, 12), (5, 22), (5, 26), (6, 7), (6, 8), (6, 10), (6, 13), (6, 14), (6, 16), (6, 17), (6, 18), (6, 19), (6, 20), (6, 21), (6, 23), (6, 24), (6, 25), (7, 8), (7, 9), (7, 10), (7, 14), (7, 15), (7, 16), (7, 17), (7, 18), (7, 19), (7, 20), (7, 21), (7, 23), (7, 24), (7, 27), (8, 10), (8, 13), (8, 14), (8, 16), (8, 17), (8, 18), (8, 19), (8, 20), (8, 21), (8, 23), (8, 24), (8, 25), (9, 14), (9, 15), (9, 16), (9, 18), (9, 19), (9, 20), (9, 23), (9, 24), (9, 27), (10, 13), (10, 14), (10, 16), (10, 17), (10, 18), (10, 19), (10, 20), (10, 21), (10, 23), (10, 24), (10, 25), (11, 12), (11, 13), (11, 22), (11, 25), (11, 26), (12, 22), (12, 26), (13, 17), (13, 21), (13, 25), (13, 26), (14, 15), (14, 16), (14, 17), (14, 18), (14, 19), (14, 20), (14, 21), (14, 23), (14, 24), (14, 27), (15, 16), (15, 18), (15, 19), (15, 20), (15, 23), (15, 24), (15, 27), (16, 17), (16, 18), (16, 19), (16, 20), (16, 21), (16, 23), (16, 24), (16, 27), (17, 18), (17, 19), (17, 20), (17, 21), (17, 23), (17, 24), (17, 25), (18, 19), (18, 20), (18, 21), (18, 23), (18, 24), (18, 27), (19, 20), (19, 21), (19, 23), (19, 24), (19, 27), (20, 21), (20, 23), (20, 24), (20, 27), (21, 23), (21, 24), (21, 25), (22, 26), (23, 24), (23, 27), (24, 27), (25, 26)]
28
179
true
632
12
7
16
0,6,7,8,9,10,14,15,17,18,19,20,21,23,24,27
17
26
false
17
26
true
17
26
2
erdos
[(0, 3), (1, 2), (1, 31), (1, 32), (1, 33), (2, 32), (2, 33), (3, 17), (4, 5), (4, 6), (4, 10), (4, 11), (4, 12), (4, 13), (5, 6), (5, 7), (5, 8), (5, 9), (6, 8), (7, 8), (7, 9), (7, 24), (7, 25), (7, 26), (7, 27), (7, 28), (7, 29), (8, 9), (8, 28), (8, 29), (9, 28), (9, 29), (10, 12), (10, 13), (10, 14), (10, 15), (10, 16), (11, 13), (12, 14), (13, 16), (14, 15), (15, 16), (15, 18), (15, 22), (16, 18), (16, 22), (18, 22), (19, 20), (19, 21), (23, 24), (24, 25), (24, 26), (24, 27), (25, 26), (25, 27), (25, 28), (26, 27), (26, 28), (27, 28), (27, 29), (28, 29), (30, 31), (30, 32), (31, 32), (31, 33), (32, 33)]
34
66
true
52
7
9
12
4,10,14
1
9
false
1
9
false
1
9
-1
erdos
[(0, 1), (0, 2), (0, 13), (0, 16), (1, 2), (2, 16), (3, 4), (3, 6), (4, 10), (5, 17), (6, 13), (6, 16), (6, 17), (7, 8), (9, 10), (9, 14), (11, 12), (11, 15), (12, 14), (13, 16), (16, 17)]
18
21
true
5
4
2
14
9,12
11
6
false
11
6
true
11
6
7
erdos
[(0, 16), (1, 10), (1, 15), (2, 7), (2, 9), (2, 10), (2, 15), (3, 15), (4, 6), (4, 15), (5, 6), (5, 10), (6, 10), (6, 15), (6, 16), (8, 10), (8, 15), (10, 13), (10, 15), (10, 16), (10, 18), (10, 20), (10, 21), (10, 22), (10, 23), (10, 24), (10, 25), (10, 26), (11, 23), (12, 14), (12, 16), (12, 17), (15, 16), (15, 22), (15, 23), (15, 25), (15, 27), (16, 19), (16, 20), (16, 26), (19, 23), (19, 26)]
28
42
true
15
12
3
4
6,15
10
17
false
10
17
true
10
17
3
erdos
[(0, 1), (0, 3), (1, 2), (1, 3), (1, 4), (2, 4)]
5
6
true
2
3
2
3
0,1
1
4
true
1
4
true
1
4
1
erdos
[(0, 3), (0, 4), (0, 5), (0, 7), (1, 6), (1, 7), (1, 8), (2, 7), (2, 8), (4, 5), (4, 6)]
9
11
true
1
3
1
7
0,1,2
7
0
true
7
0
true
7
0
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 4), (2, 4), (2, 7), (2, 8), (3, 8), (3, 9), (3, 11), (5, 6), (6, 10), (7, 8), (7, 11), (8, 11), (9, 11)]
12
17
true
6
5
1
8
2,3,7,11
1
7
false
1
7
true
1
7
3
erdos
[(0, 11), (0, 12), (0, 13), (1, 2), (1, 3), (2, 3), (3, 10), (4, 10), (5, 10), (6, 8), (6, 9), (7, 8), (7, 11), (8, 9), (12, 13)]
14
15
true
3
8
3
12
0,13
7
2
false
7
2
false
7
2
-1
erdos
[(0, 2), (0, 15), (1, 17), (3, 4), (3, 5), (3, 6), (3, 7), (8, 9), (9, 11), (10, 15), (10, 21), (10, 22), (12, 17), (13, 20), (14, 15), (14, 21), (15, 22), (16, 17), (17, 18), (17, 23), (18, 20), (18, 23), (19, 22)]
24
23
true
2
4
1
21
10,14
18
23
true
18
23
true
18
23
1
erdos
[(0, 1), (0, 7), (0, 13), (1, 3), (1, 5), (1, 8), (2, 4), (2, 5), (2, 6), (2, 7), (3, 8), (4, 5), (4, 6), (4, 7), (5, 6), (5, 7), (7, 8), (9, 10), (9, 11), (9, 12), (9, 13), (10, 11), (10, 12), (10, 13), (11, 12), (12, 13)]
14
26
true
15
8
3
2
4,5,6,7
5
0
false
5
0
true
5
0
2
erdos
[(0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (2, 4), (2, 7), (3, 4), (3, 8), (3, 9), (4, 8), (4, 10), (5, 6), (5, 7), (5, 11), (5, 12), (5, 13), (6, 11), (6, 12), (6, 13), (6, 14), (8, 9), (8, 23), (9, 10), (9, 23), (9, 24), (10, 21), (10, 23), (11, 12), (11, 13), (11, 14), (11, 15), (11, 17), (12, 14), (12, 16), (13, 14), (13, 15), (14, 15), (14, 16), (15, 16), (17, 18), (19, 20), (19, 21), (20, 21), (22, 23), (22, 24), (23, 24)]
25
51
true
32
16
3
8
3,4,9,23
23
10
true
23
10
true
23
10
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 4), (2, 3), (2, 4), (3, 4)]
5
8
true
5
0
4
2
0,3,4
3
0
true
3
0
true
3
0
1
erdos
[(0, 2), (0, 3), (0, 7), (1, 6), (3, 9), (4, 9), (5, 9), (6, 8), (6, 10)]
11
9
false
0
3
2
6
1,8,10
2
7
false
2
7
true
2
7
2
erdos
[(0, 1), (0, 4), (0, 5), (0, 10), (0, 16), (1, 11), (2, 3), (2, 16), (3, 4), (3, 16), (4, 5), (6, 8), (6, 9), (7, 8), (7, 15), (8, 13), (9, 12), (10, 11), (12, 14), (13, 15)]
17
20
true
2
9
2
10
0,11
12
13
false
12
13
true
12
13
4
erdos
[(0, 1), (1, 2), (1, 3), (2, 4)]
5
4
false
0
0
1
4
2
2
1
true
2
1
true
2
1
1
erdos
[(0, 1), (1, 3), (1, 6), (1, 7), (2, 12), (3, 4), (3, 5), (3, 6), (3, 8), (4, 5), (5, 9), (6, 7), (6, 8), (7, 8), (8, 9), (8, 10), (9, 10), (11, 12), (13, 20), (14, 15), (14, 21), (16, 17), (17, 18), (17, 19), (18, 20), (19, 20), (19, 21)]
22
27
true
6
3
5
2
12
8
21
false
8
21
false
8
21
-1
erdos
[(0, 2), (0, 3), (0, 5), (1, 3), (1, 6), (1, 7), (1, 9), (2, 8), (3, 4), (3, 6), (3, 8), (3, 9), (4, 5), (4, 6), (5, 6), (5, 8), (6, 9), (7, 9)]
10
18
true
7
5
4
2
0,8
7
2
false
7
2
true
7
2
4
erdos
[(0, 1), (0, 2), (1, 2), (1, 3), (2, 3), (3, 15), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (4, 11), (5, 7), (5, 8), (5, 12), (6, 12), (6, 13), (7, 10), (7, 14), (8, 11), (8, 16), (9, 10), (10, 17), (11, 16), (11, 18), (12, 13), (14, 16), (14, 17), (16, 17)]
19
30
true
10
0
2
10
4,7,9,17
4
17
false
4
17
true
4
17
2
erdos
[(0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (1, 5), (3, 4), (3, 8), (5, 6), (5, 7), (5, 9), (6, 7), (6, 9), (7, 9)]
10
14
true
6
8
1
1
2,3,4,5
2
5
false
2
5
true
2
5
2
erdos
[(0, 9), (0, 22), (1, 4), (1, 7), (1, 8), (1, 22), (1, 27), (2, 13), (2, 17), (2, 28), (3, 7), (3, 8), (3, 28), (4, 8), (4, 24), (4, 29), (5, 12), (5, 15), (6, 18), (6, 20), (7, 18), (7, 27), (9, 16), (9, 22), (10, 11), (11, 24), (12, 25), (13, 17), (13, 28), (14, 17), (14, 19), (14, 28), (16, 26), (17, 25), (20, 21), (23, 29), (24, 26), (26, 29)]
30
38
true
5
26
3
21
20
24
2
false
24
2
true
24
2
5
erdos
[(0, 3), (0, 4), (0, 5), (1, 2), (1, 7), (1, 9), (3, 6), (3, 8), (3, 9), (4, 5), (5, 6), (5, 7), (6, 7), (6, 9), (7, 9)]
10
15
true
5
5
4
6
3,5,7,9
0
4
true
0
4
true
0
4
1
erdos
[(0, 3), (1, 2), (1, 3), (2, 4)]
5
4
false
0
1
2
4
2
4
3
false
4
3
true
4
3
3
erdos
[(0, 2), (0, 3), (1, 4), (2, 3), (3, 7), (4, 6), (4, 7), (5, 6), (5, 7), (6, 7)]
8
10
true
3
7
4
6
4,5,7
7
3
true
7
3
true
7
3
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (2, 6), (3, 6), (4, 5), (4, 10), (4, 15), (4, 16), (5, 16), (6, 7), (7, 8), (7, 9), (8, 9), (8, 17), (8, 18), (8, 19), (8, 20), (10, 11), (10, 12), (10, 13), (10, 15), (10, 16), (11, 12), (11, 13), (11, 14), (12, 13), (12, 14), (12, 15), (13, 15), (13, 16), (15, 16), (17, 18), (17, 19), (18, 19), (18, 20), (19, 20)]
21
47
true
37
2
6
13
10,11,12,15,16
18
14
false
18
14
true
18
14
8
erdos
[(0, 9), (0, 11), (1, 2), (1, 3), (1, 10), (1, 13), (1, 16), (1, 17), (2, 6), (2, 17), (3, 10), (3, 16), (3, 17), (4, 9), (4, 14), (5, 12), (6, 16), (7, 10), (8, 16), (8, 17), (9, 12), (9, 15), (10, 12), (10, 16), (10, 17), (11, 12), (13, 17), (16, 17)]
18
28
true
13
7
1
2
1,6,17
5
17
false
5
17
true
5
17
3
erdos
[(0, 1), (0, 3), (0, 4), (1, 3), (1, 4), (1, 5), (2, 7), (2, 8), (2, 9), (3, 4), (3, 6), (3, 11), (4, 5), (4, 6), (4, 10), (4, 11), (5, 9), (5, 10), (5, 11), (6, 11), (7, 8), (8, 9), (9, 10), (10, 11)]
12
24
true
16
0
3
4
0,1,3,5,6,10,11
4
11
true
4
11
true
4
11
1
erdos
[(0, 1), (0, 4), (1, 6), (2, 3), (2, 11), (2, 12), (3, 4), (3, 12), (5, 7), (5, 10), (6, 8), (8, 9), (8, 10), (11, 12)]
13
14
true
2
10
2
6
1,8
4
8
false
4
8
true
4
8
4
erdos
[(0, 1), (0, 2), (0, 6), (0, 7), (0, 8), (0, 9), (1, 2), (1, 3), (1, 4), (1, 5), (2, 4), (2, 6), (2, 9), (3, 5), (3, 7), (3, 11), (3, 16), (4, 5), (4, 9), (5, 16), (5, 19), (6, 9), (7, 8), (7, 10), (7, 11), (8, 10), (8, 12), (10, 12), (11, 15), (11, 16), (13, 14), (13, 17), (13, 18), (14, 15), (14, 16), (14, 17), (14, 18), (15, 16), (16, 18), (16, 19), (17, 18), (18, 19)]
20
42
true
24
7
5
9
0,2,4,6
7
14
false
7
14
true
7
14
3
erdos
[(0, 1), (1, 10), (1, 14), (2, 5), (2, 11), (2, 13), (3, 4), (3, 8), (5, 9), (5, 14), (6, 8), (6, 14), (7, 11), (8, 12), (10, 13)]
15
15
true
0
8
3
12
8
4
3
true
4
3
true
4
3
1
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (4, 7), (5, 6), (5, 8), (5, 9), (6, 7), (6, 8), (6, 9), (7, 8), (7, 10), (8, 9), (8, 10), (8, 11), (9, 11), (9, 12), (10, 11), (10, 13), (10, 14), (11, 13), (11, 14), (11, 15), (11, 16), (11, 17), (12, 15), (13, 14), (13, 18), (14, 16), (14, 18), (14, 19), (14, 20), (15, 16), (15, 17), (16, 17), (16, 18), (16, 19), (16, 20), (18, 19), (19, 20)]
21
50
true
37
14
7
15
11,12,16,17
9
11
true
9
11
true
9
11
1
erdos
[(0, 6), (1, 16), (1, 18), (1, 19), (1, 26), (1, 30), (2, 22), (3, 20), (3, 21), (4, 9), (4, 26), (5, 19), (5, 31), (6, 11), (6, 17), (7, 13), (7, 25), (8, 16), (8, 20), (9, 19), (9, 31), (10, 24), (11, 17), (12, 14), (13, 28), (15, 31), (16, 18), (16, 26), (17, 25), (18, 22), (18, 26), (18, 30), (21, 23), (23, 24), (23, 31), (26, 30), (27, 28), (27, 29), (28, 29), (30, 31)]
32
40
true
9
1
5
27
28,29
14
31
false
14
31
false
14
31
-1
erdos
[(0, 1), (0, 2), (1, 2)]
3
3
true
1
0
2
2
0,1
0
1
true
0
1
true
0
1
1
erdos
[(0, 3), (0, 5), (1, 2), (2, 6), (3, 4), (3, 7), (4, 5), (4, 7), (4, 8), (4, 9), (4, 10), (5, 6), (7, 8), (7, 9), (7, 30), (8, 9), (8, 30), (9, 10), (9, 30), (11, 13), (11, 14), (11, 17), (12, 21), (12, 22), (12, 23), (13, 14), (13, 15), (13, 16), (13, 17), (13, 18), (13, 19), (14, 15), (14, 18), (14, 27), (15, 16), (15, 17), (15, 19), (15, 20), (16, 17), (16, 19), (16, 20), (17, 20), (18, 25), (18, 27), (19, 20), (19, 21), (19, 22), (19, 24), (21, 22), (21, 23), (22, 23), (22, 24), (23, 24), (25, 26), (25, 27), (25, 28), (26, 27), (26, 28), (26, 29), (27, 28), (28, 29)]
31
61
true
39
1
1
25
18,26,27,28
1
24
false
1
24
false
1
24
-1
erdos
[(0, 1), (0, 2), (0, 6), (0, 10), (0, 11), (0, 12), (0, 13), (0, 16), (0, 17), (0, 18), (0, 21), (1, 3), (1, 4), (1, 6), (1, 7), (1, 9), (1, 11), (1, 12), (1, 14), (1, 15), (1, 16), (1, 17), (1, 18), (1, 19), (1, 20), (1, 21), (2, 3), (2, 4), (2, 6), (2, 7), (2, 8), (2, 10), (2, 13), (2, 14), (2, 16), (2, 17), (2, 18), (2, 20), (2, 21), (3, 4), (3, 5), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (3, 16), (3, 17), (3, 18), (3, 19), (3, 20), (3, 21), (4, 5), (4, 7), (4, 8), (4, 11), (4, 12), (4, 14), (4, 17), (4, 18), (4, 19), (5, 6), (5, 7), (5, 10), (5, 11), (5, 12), (5, 13), (5, 14), (5, 15), (5, 16), (5, 17), (5, 18), (5, 21), (6, 8), (6, 9), (6, 10), (6, 11), (6, 12), (6, 13), (6, 14), (6, 16), (6, 19), (6, 20), (6, 21), (7, 8), (7, 9), (7, 12), (7, 15), (7, 18), (7, 19), (7, 20), (7, 21), (8, 10), (8, 11), (8, 12), (8, 13), (8, 15), (8, 16), (8, 18), (8, 19), (8, 20), (8, 21), (9, 10), (9, 11), (9, 12), (9, 13), (9, 14), (9, 15), (9, 18), (9, 19), (9, 20), (9, 21), (10, 13), (10, 14), (10, 16), (10, 17), (10, 20), (10, 21), (11, 12), (11, 14), (11, 15), (11, 16), (11, 17), (11, 18), (11, 21), (12, 13), (12, 14), (12, 16), (12, 18), (12, 20), (12, 21), (13, 14), (13, 18), (13, 20), (13, 21), (14, 15), (14, 16), (14, 17), (14, 19), (15, 17), (15, 19), (15, 20), (16, 17), (16, 19), (16, 20), (17, 19), (17, 21), (18, 19), (18, 20), (18, 21), (19, 20)]
22
152
true
425
13
13
4
1,2,3,5,7,8,11,12,14,17,18,19
2
10
true
2
10
true
2
10
1
erdos
[(0, 2), (0, 18), (1, 7), (1, 14), (2, 16), (3, 6), (3, 7), (3, 19), (3, 25), (4, 18), (4, 20), (5, 8), (5, 20), (5, 24), (6, 20), (6, 23), (7, 18), (7, 20), (7, 25), (8, 20), (9, 14), (9, 18), (9, 20), (10, 20), (10, 25), (11, 13), (11, 16), (11, 17), (11, 26), (12, 16), (12, 18), (13, 15), (13, 16), (13, 26), (14, 18), (15, 21), (16, 18), (16, 20), (16, 21), (17, 20), (17, 23), (18, 19), (18, 21), (18, 22), (19, 20), (20, 21), (20, 22), (20, 25), (22, 24)]
27
49
true
10
25
4
4
18,20
2
23
false
2
23
true
2
23
4
erdos
[(0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (1, 4), (1, 5), (1, 7), (1, 8), (1, 9), (2, 3), (2, 7), (2, 8), (2, 9), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (5, 6), (5, 7), (5, 9), (6, 7), (6, 8), (6, 9), (7, 8), (7, 9), (8, 9)]
10
34
true
57
9
8
3
0,1,2,4,5,6,7,8,9
5
1
true
5
1
true
5
1
1
erdos
[(0, 3), (1, 11), (1, 12), (2, 6), (2, 10), (2, 11), (2, 12), (3, 4), (3, 9), (4, 5), (4, 7), (4, 8), (4, 9), (4, 10), (5, 9), (6, 7), (6, 8), (6, 10), (7, 8), (8, 10), (11, 12)]
13
21
true
9
6
4
10
2,4,6,8
4
1
false
4
1
true
4
1
4
erdos
[(0, 2), (0, 14), (1, 7), (1, 9), (2, 4), (2, 14), (3, 9), (3, 10), (4, 6), (5, 7), (5, 8), (10, 11), (11, 12), (12, 13)]
15
14
true
1
4
2
10
3,11
10
6
false
10
6
false
10
6
-1
erdos
[(0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (2, 4), (2, 5), (3, 4), (4, 5), (6, 7)]
8
10
true
4
0
2
1
2,3,4
4
7
false
4
7
false
4
7
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 5), (1, 22), (2, 4), (2, 6), (2, 7), (3, 7), (3, 8), (4, 5), (4, 18), (4, 28), (5, 28), (6, 19), (6, 24), (7, 9), (7, 10), (8, 11), (8, 12), (9, 23), (10, 20), (10, 21), (10, 25), (11, 22), (11, 27), (12, 13), (12, 15), (13, 14), (14, 18), (15, 17), (16, 20), (17, 26), (17, 27), (19, 24), (19, 25), (20, 25), (20, 26), (21, 26), (22, 27), (24, 25), (26, 27)]
29
44
true
9
22
3
28
4,5
28
19
false
28
19
true
28
19
4
erdos
[(0, 1), (0, 5), (1, 2), (1, 3), (1, 4), (2, 3), (2, 6), (3, 4), (3, 6), (4, 6), (4, 7), (5, 24), (6, 7), (8, 9), (8, 10), (9, 12), (9, 15), (9, 17), (10, 16), (10, 17), (11, 12), (11, 21), (12, 13), (12, 14), (12, 15), (12, 21), (13, 14), (15, 21), (16, 23), (18, 19), (18, 20), (18, 22), (19, 24), (20, 22)]
25
34
true
10
21
3
11
12,21
11
17
false
11
17
true
11
17
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 9), (1, 2), (1, 3), (1, 6), (1, 8), (2, 3), (2, 10), (3, 6), (3, 9), (3, 11), (4, 5), (4, 10), (5, 7), (6, 9), (7, 8), (7, 12), (7, 15), (8, 12), (8, 13), (8, 15), (9, 11), (9, 14), (11, 14), (11, 16), (12, 15), (13, 15)]
17
29
true
14
0
4
8
1,7,12,13,15
11
2
false
11
2
true
11
2
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 9), (0, 10), (0, 11), (0, 12), (0, 14), (0, 15), (0, 16), (0, 17), (0, 18), (0, 19), (0, 20), (0, 21), (0, 22), (0, 23), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (1, 16), (1, 17), (1, 19), (1, 21), (1, 23), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 9), (2, 10), (2, 11), (2, 12), (2, 14), (2, 15), (2, 16), (2, 17), (2, 18), (2, 19), (2, 20), (2, 21), (2, 22), (2, 23), (3, 4), (3, 5), (3, 6), (3, 8), (3, 9), (3, 10), (3, 11), (3, 12), (3, 13), (3, 14), (3, 15), (3, 16), (3, 17), (3, 19), (3, 21), (3, 23), (4, 5), (4, 6), (4, 8), (4, 9), (4, 10), (4, 11), (4, 12), (4, 13), (4, 14), (4, 15), (4, 16), (4, 17), (4, 19), (4, 21), (4, 23), (5, 6), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (5, 13), (5, 14), (5, 15), (5, 16), (5, 17), (5, 19), (5, 21), (5, 23), (6, 7), (6, 9), (6, 10), (6, 11), (6, 12), (6, 14), (6, 15), (6, 16), (6, 17), (6, 18), (6, 19), (6, 20), (6, 21), (6, 22), (6, 23), (7, 9), (7, 11), (7, 14), (7, 16), (7, 17), (7, 18), (7, 20), (7, 21), (7, 22), (8, 10), (8, 12), (8, 13), (8, 15), (8, 19), (8, 23), (9, 10), (9, 11), (9, 12), (9, 14), (9, 15), (9, 16), (9, 17), (9, 18), (9, 19), (9, 20), (9, 21), (9, 22), (9, 23), (10, 11), (10, 12), (10, 13), (10, 14), (10, 15), (10, 16), (10, 17), (10, 19), (10, 21), (10, 23), (11, 12), (11, 14), (11, 15), (11, 16), (11, 17), (11, 18), (11, 19), (11, 20), (11, 21), (11, 22), (11, 23), (12, 13), (12, 14), (12, 15), (12, 16), (12, 17), (12, 19), (12, 21), (12, 23), (13, 15), (13, 19), (13, 23), (14, 15), (14, 16), (14, 17), (14, 18), (14, 19), (14, 20), (14, 21), (14, 22), (14, 23), (15, 16), (15, 17), (15, 19), (15, 21), (15, 23), (16, 17), (16, 18), (16, 19), (16, 20), (16, 21), (16, 22), (16, 23), (17, 18), (17, 19), (17, 20), (17, 21), (17, 22), (17, 23), (18, 20), (18, 21), (18, 22), (19, 21), (19, 23), (20, 21), (20, 22), (21, 22), (21, 23)]
24
214
true
1,099
22
12
12
0,1,2,3,4,5,6,8,9,10,11,13,14,15,16,17,19,21,23
1
4
true
1
4
true
1
4
1
erdos
[(0, 13), (0, 19), (1, 14), (2, 21), (3, 12), (3, 15), (4, 10), (4, 17), (5, 8), (5, 13), (6, 20), (6, 22), (7, 14), (7, 16), (8, 18), (9, 17), (9, 18), (11, 21), (12, 16), (15, 20), (15, 22)]
23
21
true
0
20
2
1
14
12
5
false
12
5
false
12
5
-1
erdos
[(0, 22), (0, 23), (0, 27), (0, 31), (1, 20), (1, 23), (2, 13), (2, 27), (3, 26), (3, 31), (4, 9), (4, 10), (5, 14), (5, 18), (6, 21), (7, 30), (8, 22), (8, 23), (9, 24), (10, 11), (11, 12), (11, 27), (11, 28), (11, 29), (12, 26), (13, 16), (13, 20), (14, 22), (14, 23), (15, 20), (15, 26), (16, 18), (16, 19), (16, 29), (17, 21), (17, 26), (18, 19), (19, 20), (19, 24), (23, 28), (24, 25), (24, 29), (25, 28), (27, 30), (28, 32)]
33
45
true
1
13
3
25
24,28
13
15
false
13
15
true
13
15
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 7), (0, 8), (1, 3), (1, 4), (1, 5), (1, 7), (1, 8), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (3, 7), (3, 8), (4, 5), (4, 6), (4, 7), (4, 8), (5, 6), (5, 7), (5, 8), (6, 8), (7, 8)]
9
28
true
42
7
7
1
0,3,4,5,7,8
4
1
true
4
1
true
4
1
1
erdos
[(0, 1), (0, 14), (0, 15), (0, 16), (1, 17), (1, 18), (2, 3), (2, 4), (2, 20), (2, 30), (3, 21), (5, 7), (5, 8), (6, 8), (6, 9), (9, 10), (9, 12), (10, 11), (11, 12), (12, 13), (15, 16), (16, 17), (17, 18), (18, 19), (20, 21), (20, 30), (22, 23), (23, 24), (24, 25), (25, 26), (25, 27), (26, 28), (27, 28), (29, 30)]
31
34
true
3
14
1
12
9,11,13
29
22
false
29
22
false
29
22
-1
erdos
[(0, 3), (1, 2), (1, 3), (1, 5), (1, 6), (2, 3), (2, 6), (3, 4)]
7
8
true
2
4
1
5
1
2
1
true
2
1
true
2
1
1
erdos
[(0, 4), (1, 2), (1, 4), (2, 3), (2, 4), (3, 5)]
6
6
true
1
0
1
0
4
3
5
true
3
5
true
3
5
1
erdos
[(0, 1), (0, 2), (1, 2)]
3
3
true
1
0
2
1
0,2
2
0
true
2
0
true
2
0
1
erdos
[(0, 3), (0, 4), (0, 5), (0, 6), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 14), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 11), (2, 12), (2, 13), (2, 14), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (3, 11), (3, 13), (3, 14), (4, 6), (4, 7), (4, 8), (4, 10), (4, 11), (4, 12), (4, 14), (5, 6), (5, 7), (5, 9), (5, 11), (5, 12), (6, 10), (6, 11), (6, 12), (6, 14), (7, 8), (7, 10), (7, 12), (7, 13), (7, 14), (8, 9), (8, 10), (8, 11), (8, 12), (8, 13), (8, 14), (9, 11), (9, 12), (9, 13), (10, 11), (10, 12), (10, 13), (10, 14), (11, 12), (11, 13), (11, 14), (12, 13), (13, 14)]
15
79
true
189
2
10
4
0,1,2,3,6,7,8,10,11,12,14
12
5
true
12
5
true
12
5
1
erdos
[(0, 1), (0, 2), (1, 2), (1, 3), (2, 4), (3, 8), (4, 6), (4, 8), (5, 6), (5, 7), (5, 8), (6, 7), (6, 8), (7, 8)]
9
14
true
6
3
2
8
3,4,5,6,7
1
8
false
1
8
true
1
8
2
erdos
[(0, 1), (0, 2), (1, 2), (1, 3), (1, 4), (2, 3), (4, 6), (5, 6)]
7
8
true
2
6
2
6
4,5
4
0
false
4
0
true
4
0
2
erdos
[(0, 11), (1, 24), (2, 12), (2, 16), (2, 24), (2, 26), (3, 9), (3, 10), (3, 15), (4, 14), (4, 29), (5, 8), (5, 25), (5, 27), (5, 28), (5, 29), (6, 15), (6, 19), (6, 26), (7, 11), (7, 28), (8, 10), (8, 20), (10, 15), (10, 22), (10, 23), (10, 29), (11, 17), (11, 29), (13, 25), (14, 20), (14, 21), (15, 30), (15, 31), (16, 23), (18, 28), (19, 22), (22, 24), (22, 26), (22, 31), (23, 30), (24, 25), (24, 29), (25, 26), (26, 27), (26, 28), (27, 31), (28, 32), (29, 31)]
33
49
true
1
29
6
5
8,25,27,28,29
9
23
false
9
23
true
9
23
3
erdos
[(0, 17), (0, 18), (0, 19), (0, 21), (0, 22), (0, 23), (0, 25), (0, 26), (0, 27), (0, 30), (1, 17), (1, 18), (1, 20), (1, 21), (1, 22), (1, 23), (1, 25), (1, 26), (1, 28), (1, 29), (1, 30), (2, 17), (2, 18), (2, 19), (2, 20), (2, 23), (2, 24), (2, 25), (2, 27), (2, 29), (2, 30), (3, 17), (3, 19), (3, 26), (3, 27), (3, 30), (4, 17), (4, 19), (4, 21), (4, 22), (4, 23), (4, 27), (4, 28), (4, 29), (4, 31), (5, 17), (5, 18), (5, 21), (5, 22), (5, 27), (6, 17), (6, 19), (6, 20), (6, 21), (6, 25), (6, 27), (6, 28), (6, 29), (6, 31), (7, 17), (7, 18), (7, 19), (7, 24), (7, 26), (7, 28), (7, 29), (7, 30), (8, 17), (8, 18), (8, 19), (8, 20), (8, 21), (8, 22), (8, 23), (8, 24), (8, 28), (8, 31), (9, 17), (9, 18), (9, 21), (9, 22), (9, 23), (9, 26), (9, 27), (9, 28), (9, 30), (10, 17), (10, 19), (10, 20), (10, 24), (10, 25), (10, 26), (10, 27), (10, 28), (10, 29), (10, 30), (10, 31), (11, 17), (11, 18), (11, 19), (11, 21), (11, 22), (11, 24), (11, 26), (11, 29), (12, 17), (12, 19), (12, 21), (12, 23), (12, 24), (12, 25), (12, 26), (12, 28), (12, 29), (12, 31), (13, 17), (13, 18), (13, 19), (13, 20), (13, 22), (13, 23), (13, 24), (13, 25), (13, 28), (13, 31), (14, 17), (14, 18), (14, 19), (14, 20), (14, 21), (14, 22), (14, 24), (14, 25), (14, 27), (14, 29), (14, 30), (15, 17), (15, 18), (15, 19), (15, 21), (15, 25), (15, 26), (15, 27), (15, 28), (15, 30), (15, 31), (16, 17), (16, 18), (16, 19), (16, 20), (16, 21), (16, 22), (16, 23), (16, 25), (16, 26), (16, 27), (16, 30)]
32
157
true
0
17
17
18
0,1,2,5,7,8,9,11,13,14,15,16
15
11
false
15
11
true
15
11
2
erdos
[(0, 1), (0, 5), (1, 4), (2, 3), (2, 9), (3, 7), (4, 6), (5, 7), (8, 9)]
10
9
false
0
9
2
5
0,7
6
2
false
6
2
true
6
2
7
erdos
[(0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (3, 4), (3, 5), (4, 5), (6, 7), (6, 8), (6, 10), (7, 8), (7, 10), (8, 9), (8, 10)]
11
19
true
14
5
4
5
0,1,3,4
6
1
false
6
1
false
6
1
-1
erdos
[(0, 1), (0, 3), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5), (4, 5)]
6
11
true
8
0
2
4
1,2,3,5
3
1
true
3
1
true
3
1
1
erdos
[(0, 1), (0, 3), (0, 5), (0, 6), (0, 7), (0, 10), (1, 2), (1, 3), (1, 5), (1, 6), (1, 7), (1, 10), (1, 11), (2, 3), (2, 4), (2, 5), (2, 8), (2, 9), (2, 10), (2, 11), (3, 5), (3, 6), (3, 7), (3, 10), (3, 11), (4, 8), (4, 9), (4, 11), (5, 6), (5, 7), (5, 10), (5, 11), (6, 7), (6, 10), (7, 10), (8, 9), (8, 11), (9, 11), (10, 11)]
12
39
true
61
7
6
2
1,3,4,5,8,9,10,11
9
5
false
9
5
true
9
5
2
erdos
[(0, 1), (0, 2), (0, 4), (0, 9), (1, 2), (1, 4), (1, 9), (2, 3), (2, 4), (2, 5), (2, 6), (2, 9), (3, 5), (3, 9), (4, 5), (4, 6), (4, 9), (5, 6), (7, 8)]
10
19
true
16
9
5
5
2,3,4,6
7
1
false
7
1
false
7
1
-1
erdos
[(0, 4), (1, 2), (2, 3), (3, 4)]
5
4
false
0
0
1
0
4
2
3
true
2
3
true
2
3
1
erdos
[(0, 3), (0, 8), (0, 10), (1, 11), (1, 13), (1, 14), (2, 4), (2, 5), (2, 9), (3, 10), (4, 6), (4, 7), (4, 9), (5, 9), (7, 9), (8, 12), (8, 13), (11, 12), (11, 13), (11, 14), (12, 13)]
15
21
true
8
10
2
6
4
13
2
false
13
2
false
13
2
-1
erdos
[(0, 7), (0, 9), (0, 20), (0, 22), (0, 25), (0, 27), (0, 28), (1, 3), (1, 4), (1, 11), (1, 12), (1, 13), (2, 5), (2, 6), (2, 15), (2, 19), (2, 21), (2, 26), (2, 30), (3, 4), (3, 10), (3, 11), (3, 12), (3, 13), (3, 18), (3, 24), (3, 29), (4, 10), (4, 11), (4, 12), (4, 13), (4, 18), (4, 24), (4, 29), (5, 6), (5, 30), (6, 19), (6, 21), (6, 26), (6, 30), (7, 8), (7, 28), (8, 20), (8, 22), (8, 25), (8, 27), (9, 25), (9, 28), (10, 11), (10, 12), (10, 13), (11, 12), (11, 13), (11, 18), (11, 24), (11, 29), (12, 13), (12, 18), (12, 24), (12, 29), (13, 18), (13, 24), (13, 29), (14, 16), (14, 17), (16, 23), (17, 23), (19, 30), (20, 22), (20, 25), (20, 28), (21, 30), (22, 25), (22, 28), (25, 27), (25, 28), (26, 30), (27, 28)]
31
78
true
94
20
5
29
3,4,11,12,13
4
2
false
4
2
false
4
2
-1
erdos
[(0, 6), (1, 2), (1, 4), (2, 9), (3, 5), (3, 8), (4, 12), (6, 7), (8, 11), (9, 10), (11, 12)]
13
11
false
0
4
2
6
0,7
8
2
false
8
2
true
8
2
5
erdos
[(0, 1), (0, 2), (0, 6), (1, 5), (2, 6), (3, 4), (3, 7), (5, 7)]
8
8
true
1
3
2
1
0,5
4
1
false
4
1
true
4
1
4
erdos
[(0, 3), (0, 5), (0, 6), (1, 22), (1, 23), (2, 6), (2, 8), (2, 9), (3, 5), (3, 7), (4, 11), (4, 14), (4, 22), (4, 23), (4, 24), (5, 6), (5, 7), (6, 7), (6, 8), (6, 10), (7, 16), (8, 9), (8, 10), (9, 10), (10, 16), (10, 17), (10, 18), (11, 12), (11, 14), (11, 19), (12, 13), (12, 14), (12, 15), (12, 24), (13, 15), (14, 24), (15, 19), (15, 20), (16, 17), (17, 18), (19, 20), (19, 21), (20, 21), (21, 25), (21, 26), (22, 23), (25, 27), (26, 27)]
28
48
true
19
16
3
25
21,27
2
15
false
2
15
false
2
15
-1
erdos
[(0, 3), (0, 5), (0, 8), (0, 9), (1, 3), (1, 4), (1, 5), (2, 3), (2, 5), (2, 7), (2, 8), (2, 9), (3, 4), (3, 5), (3, 6), (3, 7), (4, 5), (4, 6), (5, 6), (5, 7), (7, 8), (8, 9)]
10
22
true
15
6
3
6
3,4,5
8
9
true
8
9
true
8
9
1
erdos
[(0, 5), (1, 3), (1, 4), (2, 6), (2, 8), (3, 6), (4, 11), (5, 11), (7, 8), (9, 10)]
12
10
false
0
8
2
1
3,4
10
8
false
10
8
false
10
8
-1
erdos
[(0, 1), (0, 2), (0, 4), (0, 5), (1, 2), (1, 3), (2, 3), (2, 5), (4, 5), (4, 6), (4, 7), (6, 7), (6, 23), (7, 24), (7, 25), (8, 9), (8, 10), (8, 11), (8, 13), (8, 15), (8, 16), (8, 17), (8, 18), (9, 10), (9, 11), (9, 12), (9, 13), (9, 14), (10, 11), (10, 15), (10, 16), (10, 17), (11, 13), (11, 14), (11, 16), (12, 13), (12, 14), (12, 20), (13, 14), (13, 20), (14, 20), (14, 21), (15, 16), (15, 17), (15, 18), (16, 17), (17, 18), (19, 24), (20, 21), (20, 22), (24, 25)]
26
51
true
38
16
5
18
8,15,17
5
17
false
5
17
false
5
17
-1
erdos
[(0, 1), (1, 3), (1, 4), (2, 7), (2, 8), (2, 9), (3, 4), (3, 6), (3, 7), (4, 7), (4, 8), (4, 9), (5, 6), (7, 8), (7, 9), (8, 9)]
10
16
true
9
7
5
3
1,4,6,7
0
1
true
0
1
true
0
1
1
erdos
[(0, 1), (0, 3), (0, 4), (0, 8), (0, 9), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (2, 10), (3, 5), (3, 8), (3, 11), (5, 6), (5, 10), (6, 7), (6, 10), (7, 10), (8, 11), (11, 12), (11, 13), (12, 13)]
14
24
true
10
13
2
10
2,5,6,7
11
7
false
11
7
true
11
7
3
erdos
[(0, 1), (0, 2), (1, 2), (1, 4), (1, 7), (2, 6), (3, 4), (3, 5), (3, 8), (5, 8), (5, 9), (6, 7)]
10
12
true
2
2
3
6
2,7
2
0
true
2
0
true
2
0
1
erdos
[(0, 17), (0, 18), (0, 19), (0, 20), (1, 2), (1, 3), (1, 8), (1, 9), (1, 21), (2, 3), (3, 22), (3, 23), (4, 5), (4, 6), (4, 14), (5, 6), (7, 13), (8, 9), (8, 21), (9, 21), (10, 11), (10, 14), (10, 15), (10, 16), (11, 12), (14, 15), (14, 16), (15, 16), (17, 18), (17, 19), (17, 20), (18, 19), (18, 20), (19, 20), (22, 23)]
24
35
true
21
17
4
4
5,6,14
20
2
false
20
2
false
20
2
-1
erdos
[(0, 3), (0, 5), (0, 8), (0, 19), (1, 22), (1, 29), (2, 11), (2, 12), (2, 15), (2, 18), (2, 26), (3, 24), (4, 16), (4, 22), (4, 25), (5, 23), (5, 27), (6, 13), (6, 31), (7, 12), (7, 21), (8, 12), (8, 14), (9, 11), (9, 17), (9, 27), (10, 25), (10, 27), (11, 24), (12, 15), (12, 22), (12, 26), (12, 31), (13, 18), (14, 20), (14, 28), (15, 19), (15, 29), (15, 30), (16, 17), (16, 21), (16, 30), (17, 28), (18, 25), (19, 32), (23, 30), (23, 31), (23, 32), (26, 30), (29, 31), (31, 32)]
33
51
true
3
28
2
31
6,12,23,29,32
23
11
false
23
11
true
23
11
4
erdos
[(0, 1), (0, 2), (1, 3), (2, 3), (2, 15), (3, 4), (3, 16), (4, 5), (6, 7), (6, 13), (7, 28), (8, 17), (9, 10), (10, 11), (11, 12), (12, 14), (13, 21), (14, 19), (15, 16), (17, 18), (18, 22), (19, 20), (20, 23), (22, 25), (23, 24), (24, 26), (25, 27)]
29
27
true
0
3
4
4
3,5
7
10
false
7
10
false
7
10
-1
erdos
[(0, 1), (0, 2), (1, 3), (1, 4), (3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6)]
7
10
true
5
2
1
2
0
0
5
false
0
5
true
0
5
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 8), (2, 9), (3, 5), (3, 10), (4, 8), (4, 11), (5, 10), (5, 12), (5, 13), (5, 15), (5, 17), (5, 19), (6, 7), (8, 9), (10, 12), (10, 22), (10, 23), (11, 14), (12, 13), (12, 15), (12, 18), (12, 22), (12, 23), (13, 21), (14, 16), (15, 19), (15, 21), (17, 19), (17, 24), (18, 20), (19, 24), (19, 25), (20, 26), (20, 27), (24, 25), (26, 27), (27, 28)]
29
48
true
20
11
2
16
14
17
12
false
17
12
true
17
12
2