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), (1, 2), (1, 3), (1, 4), (2, 3), (3, 4)]
5
7
true
3
4
2
3
1,2,4
1
3
true
1
3
true
1
3
1
erdos
[(0, 3), (1, 2), (1, 4), (2, 3), (2, 5), (4, 5)]
6
6
true
0
1
2
0
3
0
1
false
0
1
true
0
1
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 7), (0, 9), (0, 10), (1, 2), (1, 3), (1, 4), (1, 5), (1, 7), (1, 9), (1, 10), (2, 3), (2, 4), (2, 5), (2, 7), (2, 9), (2, 10), (3, 4), (3, 5), (3, 7), (3, 9), (3, 10), (4, 5), (4, 7), (4, 9), (4, 10), (5, 7), (5, 9), (5, 10), (6, 8), (7, 9), (7, 10), (9, 10)]
11
37
true
84
7
8
0
1,2,3,4,5,7,9,10
7
1
true
7
1
true
7
1
1
erdos
[(0, 2), (0, 3), (0, 4), (0, 5), (0, 8), (0, 10), (0, 13), (0, 16), (0, 17), (0, 18), (0, 20), (0, 22), (0, 24), (0, 26), (0, 27), (0, 29), (0, 30), (0, 31), (0, 33), (1, 3), (1, 4), (1, 5), (1, 15), (1, 17), (1, 18), (1, 20), (1, 22), (1, 23), (1, 24), (1, 26), (1, 27), (1, 28), (1, 29), (1, 30), (1, 33), (2, 4), (2, ...
34
350
true
1,435
27
22
33
0,1,2,3,4,5,6,7,8,9,10,11,14,15,16,17,18,19,21,22,23,25,26,27,29,31,32
0
28
false
0
28
true
0
28
2
erdos
[(0, 5), (0, 6), (1, 2), (1, 3), (2, 4), (4, 6)]
7
6
false
0
1
2
1
2,3
4
2
true
4
2
true
4
2
1
erdos
[(0, 5), (0, 9), (0, 12), (1, 3), (1, 4), (1, 10), (2, 6), (2, 8), (3, 5), (3, 7), (5, 10), (5, 11), (6, 8), (7, 10), (9, 11), (11, 12)]
13
16
true
1
9
2
10
1,5,7
2
6
true
2
6
true
2
6
1
erdos
[(0, 13), (0, 16), (0, 26), (1, 13), (1, 26), (2, 22), (3, 4), (3, 5), (4, 19), (6, 7), (6, 30), (7, 24), (8, 15), (8, 17), (9, 11), (9, 18), (10, 18), (12, 17), (12, 18), (14, 21), (14, 22), (19, 20), (22, 23), (25, 29), (25, 30), (27, 28), (27, 29), (28, 29)]
31
28
true
1
12
2
22
2,14,23
20
25
false
20
25
false
20
25
-1
erdos
[(0, 17), (1, 15), (1, 25), (2, 6), (2, 7), (3, 8), (3, 9), (3, 21), (4, 8), (5, 24), (6, 12), (6, 13), (7, 15), (8, 14), (10, 16), (10, 18), (11, 14), (11, 25), (12, 18), (12, 19), (12, 23), (15, 18), (17, 21), (19, 22), (19, 24), (20, 25)]
26
26
true
0
2
2
3
8,9,21
8
12
false
8
12
true
8
12
7
erdos
[(0, 2), (0, 3), (0, 5), (0, 9), (0, 11), (0, 12), (0, 13), (0, 14), (0, 16), (0, 17), (0, 18), (0, 19), (0, 20), (0, 22), (0, 23), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 10), (1, 12), (1, 13), (1, 15), (1, 16), (1, 17), (1, 20), (1, 21), (1, 23), (2, 3), (2, 5), (2, 9), (2, 11), (2, 12), (2, 13), (2, 14),...
24
164
true
616
10
15
12
0,1,2,3,4,5,7,10,13,15,16,17,18,19,20,21,23
6
7
true
6
7
true
6
7
1
erdos
[(0, 8), (1, 2), (1, 3), (2, 4), (4, 5), (5, 7), (6, 7), (6, 8)]
9
8
false
0
6
2
3
1
5
4
true
5
4
true
5
4
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (0, 6), (1, 2), (1, 3), (1, 5), (1, 6), (1, 10), (1, 11), (1, 12), (2, 3), (2, 5), (2, 6), (2, 10), (2, 11), (2, 12), (3, 5), (3, 6), (3, 10), (3, 11), (3, 12), (4, 7), (4, 8), (4, 9), (5, 6), (5, 10), (5, 11), (5, 12), (6, 10), (6, 11), (6, 12), (8, 9), (9, 13), (10, 11), (10, 12), (11...
20
45
true
69
12
7
4
7,8,9
12
6
true
12
6
true
12
6
1
erdos
[(0, 7), (0, 10), (0, 14), (1, 3), (1, 8), (2, 5), (3, 5), (4, 9), (4, 15), (6, 11), (6, 13), (7, 12), (7, 14), (8, 10), (11, 16), (12, 14), (13, 17), (13, 18), (15, 18)]
19
19
true
2
15
2
2
5
1
8
true
1
8
true
1
8
1
erdos
[(0, 2), (1, 3), (1, 4), (2, 3)]
5
4
false
0
1
2
3
1,2
3
1
true
3
1
true
3
1
1
erdos
[(0, 2), (0, 3), (0, 4), (0, 6), (0, 8), (0, 9), (0, 10), (0, 11), (0, 13), (0, 14), (0, 16), (0, 17), (0, 18), (0, 19), (0, 20), (0, 21), (1, 2), (1, 3), (1, 4), (1, 5), (1, 9), (1, 11), (1, 12), (1, 15), (1, 16), (1, 18), (1, 19), (1, 20), (1, 21), (2, 5), (2, 7), (2, 8), (2, 9), (2, 10), (2, 12), (2, 14), (2, 16), (...
22
161
true
510
18
18
16
0,1,2,3,4,6,8,9,11,13,14,17,18,19,21
17
9
true
17
9
true
17
9
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 7), (0, 8), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (0, 15), (0, 16), (0, 17), (0, 18), (0, 19), (0, 20), (0, 21), (0, 22), (0, 23), (0, 24), (0, 25), (0, 26), (1, 2), (1, 3), (1, 4), (1, 5), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (1, 16),...
27
205
true
806
15
9
13
0,1,2,3,4,5,6,7,8,9,10,11,12,15,16,17,18,19,20,21,22,23,24,25,26
23
7
true
23
7
true
23
7
1
erdos
[(0, 2), (0, 4), (1, 5), (1, 21), (1, 29), (2, 4), (2, 19), (2, 28), (3, 8), (3, 11), (3, 28), (4, 19), (4, 20), (5, 6), (5, 7), (5, 14), (5, 16), (5, 29), (6, 16), (6, 24), (7, 20), (8, 25), (9, 10), (9, 12), (9, 14), (10, 13), (10, 14), (11, 19), (11, 28), (12, 17), (13, 23), (14, 18), (15, 22), (15, 26), (16, 20), (...
30
46
true
7
19
3
15
22,26
7
5
true
7
5
true
7
5
1
erdos
[(0, 4), (0, 6), (1, 8), (1, 14), (2, 9), (2, 15), (3, 5), (3, 6), (4, 7), (7, 11), (8, 13), (9, 10), (9, 12), (13, 15)]
16
14
false
0
7
2
3
5,6
1
13
false
1
13
true
1
13
2
erdos
[(0, 2), (0, 9), (1, 4), (1, 6), (1, 8), (2, 3), (2, 6), (3, 8), (4, 7), (4, 8), (5, 7), (5, 9), (7, 9)]
10
13
true
2
6
2
2
0,3,6
7
3
false
7
3
true
7
3
3
erdos
[(0, 4), (0, 11), (1, 4), (1, 8), (2, 8), (3, 5), (3, 10), (3, 12), (5, 10), (6, 7), (7, 9), (10, 11), (10, 12), (11, 12)]
13
14
true
3
1
2
8
1,2
5
6
false
5
6
false
5
6
-1
erdos
[(0, 5), (0, 6), (0, 7), (0, 11), (0, 13), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (2, 3), (2, 4), (2, 8), (3, 4), (3, 8), (3, 9), (4, 6), (4, 7), (4, 8), (5, 6), (5, 7), (5, 12), (5, 13), (6, 7), (7, 13), (9, 10), (11, 12), (11, 13), (12, 13)]
14
31
true
26
8
4
3
1,2,4,8,9
8
2
true
8
2
true
8
2
1
erdos
[(0, 1), (0, 6), (0, 8), (0, 12), (1, 6), (1, 8), (1, 12), (2, 4), (2, 11), (3, 4), (3, 5), (4, 9), (4, 11), (5, 9), (6, 7), (6, 8), (6, 12), (7, 11), (8, 10)]
13
19
true
8
0
4
11
2,4,7
10
3
false
10
3
true
10
3
6
erdos
[(0, 3), (0, 4), (0, 8), (0, 9), (1, 13), (2, 14), (3, 4), (3, 9), (4, 24), (5, 13), (6, 7), (8, 25), (10, 11), (10, 13), (10, 17), (11, 12), (11, 13), (11, 17), (12, 13), (12, 17), (14, 15), (15, 21), (16, 17), (18, 19), (18, 20), (18, 22), (20, 21), (20, 22), (21, 22), (23, 24)]
26
30
true
8
17
4
19
18
14
18
false
14
18
true
14
18
4
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 20), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (7, 14), (7, 15), (7, 16), (7, 17), (7, 18), (7, 19), (8, 19), (9, 20), (20, 21), (20, 22)]
23
23
true
1
3
1
9
7,20
8
14
false
8
14
true
8
14
2
erdos
[(0, 18), (0, 19), (1, 6), (2, 26), (3, 15), (3, 26), (4, 5), (4, 28), (5, 25), (6, 13), (6, 21), (7, 20), (7, 21), (7, 22), (8, 14), (8, 17), (8, 24), (8, 31), (9, 11), (9, 12), (9, 13), (9, 18), (10, 27), (10, 29), (11, 21), (11, 23), (12, 13), (12, 16), (12, 20), (12, 21), (13, 14), (13, 18), (13, 21), (13, 26), (13...
32
50
true
18
1
1
3
15,26
27
4
false
27
4
true
27
4
10
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 8), (0, 9), (0, 11), (0, 12), (0, 13), (0, 15), (0, 17), (0, 18), (0, 19), (0, 21), (0, 22), (0, 23), (1, 2), (1, 5), (1, 12), (1, 25), (2, 6), (2, 7), (2, 8), (2, 10), (2, 12), (2, 14), (2, 15), (2, 16), (2, 17), (2, 18), (2, 20), (2, 22), (2, 25), (2, 26), (3, 4), (3, 8), ...
27
59
true
37
5
12
20
2
19
13
false
19
13
true
19
13
2
erdos
[(0, 1), (0, 2), (0, 4), (0, 5), (1, 6), (2, 5), (2, 11), (3, 30), (4, 5), (4, 7), (4, 8), (4, 9), (5, 10), (5, 11), (7, 8), (7, 10), (8, 10), (8, 11), (9, 31), (11, 17), (12, 18), (13, 25), (13, 26), (13, 29), (13, 33), (14, 15), (14, 16), (14, 19), (14, 20), (15, 16), (15, 19), (15, 20), (16, 18), (16, 19), (17, 32),...
34
48
true
14
14
4
5
0,2,4,10,11
21
27
false
21
27
false
21
27
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (2, 3), (2, 5), (3, 5)]
6
10
true
6
5
2
0
1,2,3,4
4
2
false
4
2
true
4
2
2
erdos
[(0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12)]
13
21
true
0
4
2
8
0,1
9
2
false
9
2
true
9
2
2
erdos
[(0, 2), (1, 6), (2, 3), (3, 4), (4, 5), (5, 6)]
7
6
false
0
6
2
2
0,3
6
4
false
6
4
true
6
4
2
erdos
[(0, 3), (0, 15), (1, 2), (1, 17), (2, 11), (3, 8), (3, 15), (3, 21), (4, 10), (4, 12), (4, 14), (4, 18), (4, 22), (5, 6), (5, 22), (6, 18), (6, 19), (6, 22), (7, 9), (7, 13), (7, 21), (8, 9), (8, 15), (8, 21), (9, 13), (9, 15), (9, 21), (10, 12), (10, 14), (10, 20), (12, 14), (12, 20), (13, 15), (13, 21), (15, 21), (1...
23
37
true
21
17
2
12
4,10,14,20
13
3
false
13
3
true
13
3
2
erdos
[(0, 1), (0, 2), (1, 2), (2, 5), (2, 6), (3, 4), (3, 5), (4, 5), (5, 6)]
7
9
true
3
2
4
1
0,2
1
2
true
1
2
true
1
2
1
erdos
[(0, 1), (0, 5), (1, 2), (1, 3), (1, 4), (2, 3), (2, 6), (3, 4), (3, 6), (4, 6), (4, 7), (5, 17), (6, 7), (7, 14), (8, 11), (8, 16), (9, 12), (9, 13), (10, 11), (10, 12), (10, 13), (11, 13), (14, 18), (15, 16), (15, 17)]
19
25
true
6
10
3
15
16,17
16
11
false
16
11
true
16
11
2
erdos
[(0, 3), (0, 11), (1, 5), (1, 9), (2, 10), (2, 13), (2, 16), (3, 17), (4, 6), (4, 15), (5, 8), (6, 7), (6, 15), (7, 11), (8, 10), (12, 13), (12, 14), (13, 14), (13, 16)]
18
19
true
3
0
2
14
12,13
0
15
false
0
15
true
0
15
4
erdos
[(0, 1), (0, 2), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 5)]
6
8
true
3
3
3
1
0,2,3,4
0
5
false
0
5
true
0
5
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 2), (1, 3), (2, 3), (2, 4), (2, 5), (4, 5), (4, 6), (5, 6)]
7
14
true
11
0
6
0
1,2,3,4,5,6
6
1
false
6
1
true
6
1
2
erdos
[(0, 4), (0, 5), (0, 6), (1, 3), (1, 5), (2, 7), (3, 4), (3, 5), (4, 5), (6, 7)]
8
10
true
3
3
3
7
2,6
6
3
false
6
3
true
6
3
3
erdos
[(0, 2), (1, 10), (2, 4), (3, 10), (4, 5), (5, 9), (6, 7), (6, 9), (8, 9), (10, 11)]
12
10
false
0
1
1
8
9
7
10
false
7
10
false
7
10
-1
erdos
[(0, 1), (0, 2), (1, 2), (1, 3), (1, 4), (1, 5), (2, 4), (3, 5)]
6
8
true
3
1
5
0
1,2
0
4
false
0
4
true
0
4
2
erdos
[(0, 1), (1, 2), (2, 3), (3, 4), (3, 6), (4, 5), (4, 6), (5, 6)]
7
8
true
2
1
2
0
1
5
0
false
5
0
true
5
0
5
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (4, 5), (4, 6), (4, 7), (4, 8), (5, 6), (5, 7), (5, 8), (6, 7), (6, 8), (7, 8)]
9
36
true
84
1
8
0
1,2,3,4,5,6,7,8
5
3
true
5
3
true
5
3
1
erdos
[(0, 1), (0, 4), (1, 5), (2, 7), (3, 4), (3, 7), (4, 7), (5, 6)]
8
8
true
1
7
3
5
1,6
3
5
false
3
5
true
3
5
4
erdos
[(0, 2), (0, 3), (0, 8), (1, 4), (1, 5), (1, 7), (2, 3), (2, 6), (2, 7), (2, 8), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (5, 6), (5, 7), (6, 7), (7, 8), (9, 10), (9, 11), (9, 14), (9, 15), (10, 11), (10, 14), (10, 15), (11, 14), (11, 15), (12, 13), (12, 16), (12, 18), (14, 15), (16, 17), (16, 18), (16, 19), (16, 20), (...
22
43
true
33
3
7
2
0,3,6,7,8
0
11
false
0
11
true
0
11
3
erdos
[(0, 1), (0, 2), (0, 6), (0, 7), (0, 8), (0, 9), (0, 11), (1, 2), (1, 4), (1, 6), (1, 10), (2, 4), (2, 6), (2, 15), (3, 5), (3, 30), (5, 14), (5, 29), (5, 30), (6, 9), (6, 10), (6, 12), (6, 13), (6, 14), (7, 8), (7, 11), (8, 11), (8, 12), (9, 28), (10, 13), (10, 16), (10, 17), (11, 28), (12, 14), (12, 29), (12, 30), (1...
31
57
true
27
8
4
0
1,2,6,7,8,9,11
7
22
false
7
22
true
7
22
6
erdos
[(0, 4), (1, 4), (1, 10), (2, 4), (2, 6), (2, 8), (3, 5), (3, 11), (4, 10), (5, 10), (6, 8), (7, 8), (7, 11), (8, 9), (8, 11), (8, 12)]
13
16
true
3
12
1
1
4,10
2
4
true
2
4
true
2
4
1
erdos
[(0, 6), (0, 20), (0, 32), (1, 8), (1, 16), (1, 21), (2, 17), (3, 26), (3, 33), (4, 6), (4, 22), (5, 14), (6, 12), (7, 12), (7, 20), (8, 10), (9, 12), (11, 28), (12, 24), (13, 16), (13, 18), (13, 30), (14, 19), (14, 33), (14, 34), (15, 21), (15, 22), (16, 22), (17, 31), (22, 29), (23, 27), (25, 31), (26, 27), (27, 28),...
35
36
true
0
21
2
26
3,27
28
6
false
28
6
true
28
6
11
erdos
[(0, 14), (0, 28), (1, 6), (1, 20), (1, 22), (2, 20), (3, 8), (3, 26), (4, 11), (4, 27), (5, 12), (5, 18), (5, 21), (5, 27), (6, 24), (7, 10), (7, 16), (7, 22), (8, 21), (9, 13), (9, 18), (11, 14), (12, 26), (15, 23), (15, 29), (17, 26), (19, 24), (20, 25), (20, 28), (21, 26), (22, 23)]
30
31
true
0
11
2
26
3,12,17,21
15
25
false
15
25
true
15
25
5
erdos
[(0, 2), (0, 3), (0, 4), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6)]
7
15
true
14
6
4
5
1,3,4,6
6
1
true
6
1
true
6
1
1
erdos
[(0, 1), (0, 2), (0, 5), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5), (3, 9), (3, 14), (3, 15), (4, 5), (4, 14), (4, 15), (5, 15), (6, 18), (6, 19), (6, 20), (7, 8), (8, 21), (8, 23), (8, 24), (8, 26), (9, 10), (9, 11), (9, 12), (9, 14), (9, 15), (10, 11), (10, 12), (10, 13), (11, 12)...
27
59
true
47
15
6
26
8,18,23,24
23
8
true
23
8
true
23
8
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, 6), (4, 5), (4, 6), (5, 6), (5, 7)]
8
19
true
19
1
5
2
0,1,4,5,7
5
3
false
5
3
true
5
3
2
erdos
[(0, 1), (0, 3), (0, 14), (0, 22), (1, 3), (1, 22), (2, 18), (2, 21), (3, 14), (4, 5), (4, 6), (5, 6), (5, 7), (5, 17), (6, 7), (6, 17), (7, 9), (7, 10), (7, 19), (8, 12), (8, 13), (8, 16), (8, 25), (9, 10), (10, 19), (11, 15), (12, 13), (12, 16), (13, 14), (13, 16), (15, 20), (15, 26), (17, 19), (19, 23), (20, 21), (2...
27
40
true
17
24
3
16
8,12,13
25
17
false
25
17
false
25
17
-1
erdos
[(0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (0, 11), (0, 13), (0, 16), (0, 17), (0, 18), (0, 19), (1, 2), (1, 4), (1, 5), (1, 6), (1, 10), (1, 12), (1, 13), (1, 14), (1, 15), (1, 17), (1, 19), (1, 20), (2, 3), (2, 5), (2, 6), (2, 8), (2, 9), (2, 12), (2, 13), (2, 14), (2, 16), (2, 17), (2, 18), (2, 20), (2, 21), (...
22
142
true
337
11
14
9
2,3,4,5,7,8,10,11,12,14,15,16,18,19,20
2
14
true
2
14
true
2
14
1
erdos
[(0, 3), (0, 8), (1, 2), (1, 7), (2, 3), (2, 5), (3, 4), (3, 5), (6, 7), (6, 8)]
9
10
true
1
8
2
7
1,6
2
4
false
2
4
true
2
4
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 5), (2, 6), (3, 5), (3, 6), (3, 7), (4, 5), (4, 13), (5, 13), (6, 7), (6, 8), (6, 9), (6, 10), (7, 8), (7, 9), (7, 10), (8, 9), (8, 10), (8, 11), (9, 10), (9, 19), (10, 11), (10, 15), (11, 15), (11, 19), (12, 14), (13, ...
31
53
true
33
26
2
19
9,11,16
2
18
false
2
18
true
2
18
5
erdos
[(0, 1), (0, 8), (1, 8), (1, 9), (2, 3), (2, 4), (2, 11), (3, 4), (3, 11), (4, 12), (5, 8), (6, 12), (7, 9), (7, 10), (9, 10)]
13
15
true
4
9
3
6
12
0
10
false
0
10
true
0
10
3
erdos
[(0, 4), (0, 12), (1, 2), (1, 3), (1, 5), (1, 17), (2, 16), (3, 8), (3, 9), (4, 14), (5, 7), (5, 8), (6, 12), (6, 15), (7, 17), (8, 9), (10, 11), (10, 13), (12, 14), (12, 15), (16, 17)]
18
21
true
2
16
2
0
4,12
6
13
false
6
13
false
6
13
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 7), (0, 8), (0, 9), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 9), (2, 10), (3, 4), (3, 5), (3, 9), (4, 5), (4, 6), (4, 11), (5, 6), (5, 11), (6, 11), (7, 8), (7, 9), (7, 16), (7, 17), (8, 9), (8, 17), (10, 18), (10, 19), (10, 20), (10, 21), (11, 12), (13, 14), (13, 15), (1...
25
49
true
35
17
5
0
1,2,3,7,8,9
4
5
true
4
5
true
4
5
1
erdos
[(0, 30), (1, 9), (1, 16), (1, 17), (1, 20), (1, 22), (1, 24), (1, 25), (1, 27), (1, 30), (2, 3), (2, 5), (2, 6), (2, 8), (2, 11), (2, 12), (2, 15), (2, 16), (2, 17), (2, 22), (2, 23), (2, 25), (2, 26), (2, 27), (2, 30), (3, 5), (3, 9), (3, 17), (3, 22), (3, 27), (4, 30), (5, 8), (5, 9), (5, 12), (5, 13), (5, 16), (5, ...
31
130
true
201
1
9
18
10,25
22
15
false
22
15
true
22
15
2
erdos
[(0, 1), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 5), (2, 6), (2, 7), (2, 8), (3, 4), (3, 7), (3, 22), (4, 22), (5, 6), (5, 21), (6, 7), (6, 8), (6, 21), (7, 8), (7, 10), (7, 11), (9, 10), (9, 11), (10, 11), (12, 13), (12, 14), (12, 15), (13, 14), (13, 15), (14, 15), (14, 22), (14, 23), (15, 22), (15...
24
49
true
30
11
3
23
14,15,21,22
12
8
false
12
8
true
12
8
5
erdos
[(0, 1), (0, 9), (0, 11), (0, 18), (0, 19), (0, 20), (2, 3), (2, 4), (3, 4), (4, 21), (5, 6), (5, 7), (5, 8), (6, 7), (6, 8), (7, 8), (8, 17), (10, 12), (10, 13), (10, 14), (10, 15), (10, 16), (12, 13), (14, 15), (14, 16), (15, 16), (18, 19), (18, 20), (19, 20)]
22
29
true
14
1
1
6
5,7,8
0
4
false
0
4
false
0
4
-1
erdos
[(0, 1), (0, 2), (1, 2)]
3
3
true
1
0
2
2
0,1
1
0
true
1
0
true
1
0
1
erdos
[(0, 5), (0, 8), (0, 13), (0, 14), (1, 3), (1, 4), (1, 10), (2, 7), (3, 4), (3, 10), (4, 7), (4, 9), (4, 10), (4, 11), (4, 12), (5, 13), (5, 14), (6, 11), (6, 12), (7, 9), (9, 11), (9, 12), (11, 12), (13, 14)]
15
24
true
14
12
4
6
11,12
10
7
false
10
7
true
10
7
2
erdos
[(0, 21), (0, 23), (1, 4), (1, 17), (1, 23), (2, 9), (2, 18), (3, 7), (3, 10), (4, 10), (4, 14), (5, 8), (5, 17), (6, 12), (6, 19), (8, 14), (8, 16), (9, 15), (11, 21), (11, 24), (12, 20), (13, 24), (14, 15), (18, 22), (19, 23)]
25
25
true
0
2
2
1
4,17,23
15
19
false
15
19
true
15
19
5
erdos
[(0, 10), (0, 20), (0, 32), (1, 6), (1, 12), (1, 31), (2, 30), (2, 32), (3, 23), (3, 33), (4, 11), (5, 11), (5, 32), (6, 13), (7, 17), (8, 18), (8, 29), (9, 10), (9, 17), (10, 21), (12, 16), (12, 22), (13, 28), (14, 33), (15, 19), (15, 20), (15, 27), (16, 26), (18, 25), (18, 28), (22, 23), (24, 27), (24, 29), (25, 28)]
34
34
true
1
25
2
5
11,32
13
8
false
13
8
true
13
8
3
erdos
[(0, 4), (1, 7), (2, 3), (2, 6), (4, 5), (4, 14), (6, 18), (7, 16), (8, 9), (9, 20), (10, 17), (11, 19), (11, 20), (12, 13), (12, 19), (13, 22), (14, 18), (15, 21), (16, 17), (17, 19), (17, 21)]
23
21
false
0
13
2
15
21
3
17
false
3
17
false
3
17
-1
erdos
[(0, 1), (0, 3), (0, 5), (1, 2), (1, 3), (1, 4), (2, 3), (2, 6), (2, 7), (2, 8), (2, 9), (3, 5), (3, 8), (3, 10), (5, 10), (5, 25), (6, 7), (6, 9), (8, 9), (8, 17), (9, 22), (10, 13), (10, 18), (10, 25), (11, 12), (13, 18), (13, 20), (13, 24), (13, 25), (14, 19), (14, 26), (15, 16), (15, 17), (15, 21), (16, 17), (16, 1...
27
42
true
16
0
3
2
1,3,6,7,8,9
9
23
false
9
23
true
9
23
6
erdos
[(0, 1), (0, 2), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (3, 9), (4, 5), (4, 6), (5, 6), (5, 7), (6, 7), (8, 13), (8, 24), (10, 11), (10, 12), (10, 14), (10, 15), (11, 12), (12, 14), (12, 15), (12, 16), (13, 24), (14, 15), (14, 16), (15, 16), (15, 24), (17, 18), (17, 19), (17, 20), (17, 21), (18, 19), (19, 22),...
25
38
true
20
16
3
21
17,20,23
21
19
false
21
19
true
21
19
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (4, 5), (4, 6), (4, 7), (4, 8), (5, 6), (5, 7), (5, 8), (6, 7), (6, 8), (7, 8)]
9
36
true
84
4
8
8
0,1,2,3,4,5,6,7
3
0
true
3
0
true
3
0
1
erdos
[(0, 17), (0, 20), (0, 22), (1, 30), (2, 12), (3, 11), (3, 26), (4, 11), (5, 16), (5, 19), (5, 26), (6, 8), (7, 16), (8, 14), (8, 24), (9, 18), (9, 30), (10, 11), (10, 17), (10, 24), (11, 25), (12, 21), (12, 29), (13, 27), (14, 30), (15, 26), (17, 27), (18, 25), (19, 23), (23, 28), (23, 29), (27, 31)]
32
32
true
0
1
1
10
11,17,24
18
5
false
18
5
true
18
5
5
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (2, 3), (2, 7), (3, 4), (4, 17), (4, 18), (4, 20), (5, 6), (5, 7), (5, 8), (5, 11), (6, 11), (7, 8), (8, 11), (9, 10), (9, 11), (10, 11), (12, 14), (12, 16), (12, 20), (12, 21), (13, 15), (13, 20), (14, 20), (15, 20), (16, 21), (17, 18), (17, 19), (18, 19...
22
36
true
15
12
4
0
1,2,3,5,6
21
12
true
21
12
true
21
12
1
erdos
[(0, 1), (0, 3), (0, 4), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (2, 9), (3, 5), (3, 8), (3, 10), (4, 11), (5, 6), (5, 9), (5, 12), (6, 7), (6, 9), (7, 9), (8, 10), (10, 12), (11, 19), (13, 14), (13, 15), (14, 15), (14, 16), (14, 17), (15, 16), (16, 17), (17, 18), (18, 19)]
20
33
true
12
18
2
11
4,19
7
0
false
7
0
true
7
0
2
erdos
[(0, 1), (0, 23), (0, 31), (1, 2), (2, 23), (3, 4), (3, 14), (3, 28), (4, 7), (4, 14), (5, 11), (6, 14), (6, 24), (8, 20), (9, 10), (9, 11), (10, 12), (11, 18), (11, 22), (12, 13), (15, 25), (15, 26), (15, 30), (16, 17), (16, 18), (17, 18), (17, 22), (18, 22), (19, 20), (19, 21), (23, 31), (25, 26), (26, 27), (26, 30),...
32
35
true
7
25
2
2
1,23
3
19
false
3
19
false
3
19
-1
erdos
[(0, 3), (0, 4), (1, 4), (1, 5), (1, 7), (1, 9), (2, 4), (2, 6), (2, 7), (2, 9), (3, 8), (4, 5), (4, 7), (4, 9), (5, 7), (5, 9)]
10
16
true
9
2
4
6
2
3
4
false
3
4
true
3
4
2
erdos
[(0, 1), (0, 3), (0, 5), (0, 6), (1, 6), (1, 13), (2, 8), (2, 15), (3, 5), (4, 10), (4, 12), (4, 14), (5, 10), (5, 12), (6, 13), (7, 9), (8, 9), (10, 14), (10, 15), (11, 12), (14, 15)]
16
21
true
5
11
1
13
1,6
9
14
false
9
14
true
9
14
4
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4)]
5
8
true
5
0
3
2
0,1,3,4
0
2
true
0
2
true
0
2
1
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), (0, 21), (0, 23), (0, 24), (0, 25), (0, 26), (0, 27), (1, 3), (1, 4), (1, 6), (1, 7), (1, 11), (1, 14), (1, 15), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9...
28
226
true
944
27
9
6
0,1,2,3,4,7,8,9,10,11,12,13,14,15,16,17,18,19,21,22,23,24,26,27
20
5
false
20
5
true
20
5
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (0, 9), (0, 14), (0, 15), (0, 17), (0, 18), (0, 19), (0, 20), (1, 2), (1, 5), (1, 6), (1, 8), (1, 11), (1, 12), (1, 15), (1, 16), (1, 18), (1, 19), (1, 20), (1, 21), (2, 4), (2, 7), (2, 9), (2, 10), (2, 12), (2, 13), (2, 14), (2, 15), (2, 17), (2, 19), (2, 20), (3, 4), (3, 5), (...
22
128
true
243
9
12
7
2,4,5,6,8,9,10,11,16,18
5
8
true
5
8
true
5
8
1
erdos
[(0, 1), (0, 3), (0, 4), (0, 7), (0, 12), (1, 2), (1, 3), (1, 4), (2, 3), (2, 17), (3, 4), (3, 12), (4, 5), (4, 12), (5, 6), (5, 24), (6, 24), (7, 8), (7, 9), (7, 10), (7, 11), (8, 10), (9, 11), (9, 12), (11, 12), (13, 14), (13, 15), (13, 16), (14, 15), (14, 17), (14, 18), (15, 16), (15, 17), (17, 18), (18, 19), (18, 2...
26
43
true
19
9
3
5
4,6,24
3
24
false
3
24
true
3
24
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (2, 3), (2, 4), (2, 8), (2, 9), (3, 4), (3, 5), (3, 10), (3, 11), (4, 5), (4, 10), (5, 10), (6, 7), (6, 15), (6, 16), (6, 17), (7, 8), (7, 16), (8, 9), (9, 20), (10, 11), (10, 31), (11, 30), (11, 31), (11, 32), (12, 13), (14, 15), ...
33
67
true
48
21
5
2
0,1,3,4,8,9
21
6
false
21
6
true
21
6
6
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (3, 4), (3, 5), (3, 6), (3, 7), (3, 8), (3, 9), (3, 10), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4,...
11
55
true
165
3
10
3
0,1,2,4,5,6,7,8,9,10
7
4
true
7
4
true
7
4
1
erdos
[(0, 1), (0, 5), (1, 2), (3, 4), (3, 5)]
6
5
false
0
1
2
3
4,5
0
3
false
0
3
true
0
3
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (2, 3), (2, 6), (2, 8), (3, 4), (3, 6), (4, 9), (5, 13), (5, 14), (6, 7), (6, 8), (7, 8), (7, 15), (8, 15), (8, 16), (9, 10), (9, 11), (9, 12), (10, 11), (10, 12), (10, 13), (11, 12), (12, 13), (12, 14), (13, 14), (15, 16), (15, 17), (16, 17)]
18
36
true
24
3
5
7
0,6,8,15
9
1
false
9
1
true
9
1
2
erdos
[(0, 1), (0, 4), (0, 5), (2, 3), (2, 13), (2, 14), (3, 5), (3, 12), (3, 14), (5, 12), (6, 7), (6, 11), (8, 9), (8, 10), (8, 13), (8, 14), (9, 10), (9, 13), (9, 14), (10, 13), (13, 14)]
15
21
true
10
5
3
5
0,3,12
7
3
false
7
3
false
7
3
-1
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (2, 6), (2, 7), (2, 8), (3, 5), (3, 6), (4, 5), (4, 6), (4, 26), (4, 27), (5, 6), (5, 26), (5, 27), (6, 27), (7, 8), (7, 25), (8, 25), (9, 10), (9, 11), (9, 12), (9, 15), (10, 11), (10, 12), (10, 13), (11, 12), (11, 16), (11, 17), (11, 18), (12, 1...
33
64
true
39
4
5
12
9,10,11,13,17,18
29
4
false
29
4
true
29
4
6
erdos
[(0, 2), (0, 4), (1, 5), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5), (4, 5)]
6
9
true
5
5
4
1
5
1
5
true
1
5
true
1
5
1
erdos
[(0, 1), (0, 3), (1, 4), (1, 6), (2, 9), (2, 14), (2, 24), (3, 25), (4, 6), (4, 7), (5, 23), (6, 7), (7, 8), (8, 26), (8, 27), (9, 14), (10, 12), (11, 23), (11, 26), (12, 18), (13, 14), (13, 18), (14, 24), (15, 16), (15, 17), (15, 20), (16, 17), (16, 19), (17, 19), (17, 21), (19, 21), (22, 23), (26, 27)]
28
33
true
8
15
3
1
0,4,6
27
20
false
27
20
false
27
20
-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
6
7
5
0,1,2,3,4,6,7
1
7
true
1
7
true
1
7
1
erdos
[(0, 3), (0, 5), (1, 7), (1, 10), (2, 11), (2, 12), (4, 6), (4, 10), (7, 11), (8, 9), (8, 12)]
13
11
false
0
12
2
11
2,7
10
3
false
10
3
false
10
3
-1
erdos
[(0, 3), (0, 4), (1, 2), (1, 5), (3, 6), (4, 7), (5, 8), (6, 7), (7, 8)]
9
9
true
0
8
2
2
1
3
8
false
3
8
true
3
8
3
erdos
[(0, 2), (0, 4), (1, 4), (1, 11), (2, 4), (2, 14), (3, 7), (5, 8), (5, 13), (6, 13), (6, 14), (7, 10), (8, 9), (9, 12), (10, 13), (10, 14), (13, 14)]
15
17
true
3
11
1
2
0,4,14
4
13
false
4
13
true
4
13
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (3, 4), (3, 6), (3, 7), (4, 7), (5, 6), (6, 8), (6, 9), (6, 19), (8, 9), (9, 10), (9, 13), (9, 19), (10, 11), (10, 13), (11, 12), (11, 14), (12, 14), (12, 15), (13, 18), (16, 17), (16, 18), (17, 18), (18, 19)]
20
32
true
13
0
4
4
1,2,3,7
12
10
false
12
10
true
12
10
2
erdos
[(0, 1), (0, 2), (0, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (2, 4), (3, 6), (4, 7), (4, 8), (5, 7), (5, 8), (5, 9), (5, 15), (5, 16), (5, 18), (6, 9), (6, 19), (7, 8), (7, 16), (10, 11), (10, 12), (10, 17), (11, 13), (12, 13), (12, 15), (13, 14), (15, 16), (16, 18), (17, 22), (17, 23), (20, 21), (20, 22), ...
24
38
true
13
8
4
3
0,6
7
2
false
7
2
true
7
2
2
erdos
[(0, 2), (0, 9), (0, 10), (0, 14), (0, 17), (1, 14), (1, 15), (2, 8), (2, 10), (2, 12), (2, 14), (2, 17), (3, 5), (3, 12), (3, 16), (4, 5), (4, 11), (5, 7), (5, 13), (5, 14), (5, 16), (6, 14), (6, 17), (8, 9), (8, 14), (9, 14), (10, 17), (14, 15), (14, 17), (15, 17)]
18
30
true
14
5
6
16
3,5
7
15
false
7
15
true
7
15
3
erdos
[(0, 1), (0, 2), (0, 4), (0, 6), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (2, 5), (2, 8), (2, 10), (2, 11), (3, 7), (3, 9), (3, 16), (3, 19), (3, 20), (3, 21), (4, 5), (4, 9), (4, 10), (4, 16), (4, 21), (4, 24), (5, 8), (5, 9), (5, 11), (6, 7), (6, 26), (7, 9), (8, 11), (9, 16), (10, 22), (10, 24...
27
54
true
30
10
5
8
1,2,5,11
1
18
false
1
18
true
1
18
3
erdos
[(0, 3), (0, 7), (0, 17), (1, 2), (1, 5), (1, 6), (2, 5), (4, 10), (4, 21), (5, 6), (6, 12), (7, 15), (7, 16), (7, 17), (7, 18), (8, 9), (8, 20), (9, 20), (10, 11), (10, 14), (11, 14), (13, 14), (15, 16), (15, 18), (15, 19), (17, 18), (18, 19)]
22
27
true
9
11
2
16
7,15
1
7
false
1
7
false
1
7
-1
erdos
[(0, 5), (0, 6), (0, 9), (0, 11), (0, 13), (0, 17), (1, 19), (1, 20), (2, 12), (2, 18), (3, 7), (3, 15), (3, 16), (3, 17), (3, 22), (3, 23), (4, 15), (4, 17), (4, 19), (5, 6), (5, 11), (5, 13), (5, 15), (5, 17), (6, 11), (6, 17), (7, 9), (7, 17), (8, 17), (9, 13), (9, 17), (10, 14), (10, 16), (10, 17), (10, 21), (11, 1...
24
57
true
45
21
3
11
0,5,6,13,17
15
23
false
15
23
true
15
23
2
erdos
[(0, 1), (0, 2), (0, 5), (1, 2), (1, 3), (1, 4), (2, 4), (3, 4)]
6
8
true
3
4
3
3
1,4
1
3
true
1
3
true
1
3
1
erdos
[(0, 1), (0, 2), (0, 5), (0, 6), (0, 8), (0, 9), (0, 10), (0, 12), (0, 14), (0, 15), (0, 17), (0, 18), (0, 19), (0, 20), (0, 21), (1, 2), (1, 3), (1, 5), (1, 6), (1, 8), (1, 9), (1, 14), (1, 16), (1, 17), (1, 18), (1, 20), (1, 21), (2, 3), (2, 4), (2, 5), (2, 6), (2, 8), (2, 9), (2, 11), (2, 12), (2, 13), (2, 14), (2, ...
22
180
true
738
11
15
2
0,1,3,4,5,6,8,9,11,12,13,14,15,17,18,19,20,21
13
20
true
13
20
true
13
20
1
erdos
[(0, 3), (0, 29), (1, 4), (2, 21), (3, 29), (4, 13), (5, 7), (5, 11), (6, 7), (8, 16), (8, 19), (9, 15), (9, 18), (9, 24), (9, 25), (10, 22), (10, 24), (11, 12), (12, 17), (13, 30), (14, 16), (14, 19), (15, 18), (15, 23), (15, 25), (16, 28), (18, 23), (18, 25), (19, 28), (20, 22), (21, 26), (21, 31), (23, 25), (25, 27)...
33
37
true
8
7
2
12
11,17
9
26
false
9
26
false
9
26
-1
erdos
[(0, 3), (0, 4), (1, 4), (2, 4)]
5
4
false
0
4
3
0
3,4
0
2
false
0
2
true
0
2
2
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (1, 4), (1, 5), (3, 5), (4, 5)]
6
9
true
4
5
3
4
1,5
0
2
true
0
2
true
0
2
1