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, 6), (1, 4), (1, 5), (2, 5), (2, 6), (3, 6), (4, 5)]
7
7
true
1
1
2
1
4,5
2
0
false
2
0
true
2
0
2
erdos
[(0, 5), (0, 7), (1, 3), (2, 3), (2, 9), (4, 5), (6, 7), (6, 8), (8, 9)]
10
9
false
0
9
2
5
0,4
5
7
false
5
7
true
5
7
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 9), (0, 10), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (2, 4), (2, 6), (2, 9), (2, 10), (2, 11), (2, 12), (3, 5), (3, 6), (3, 9), (4, 5), (4, 7), (4, 10), (4, 13), (5, 7), (5, 13), (5, 14), (5, 15), (6, 9), (7, 8), (7, 15), (9, 12), (9, 22), (10, 12), (...
23
57
true
45
7
5
11
2,16,21
14
19
false
14
19
true
14
19
2
erdos
[(0, 1), (0, 4), (1, 3), (2, 3)]
5
4
false
0
0
2
3
1,2
3
0
false
3
0
true
3
0
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (2, 4), (3, 4), (3, 5), (3, 6), (4, 5), (4, 6), (5, 6), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (7, 13), (8, 9), (8, 10), (8, 11), (9, 10), (9, 13), (9, 14), (10, 11), (10, 12), (12, 13), (12, 14), (13, 14), (15, 16), (15, 20), (15, 24), (16, 20), (16, 24), (17, 18), (17, 19)...
26
47
true
29
14
3
19
17,18,21,22,23
25
15
false
25
15
false
25
15
-1
erdos
[(0, 1), (0, 4), (0, 5), (1, 2), (1, 3), (2, 3), (2, 4), (2, 6), (2, 10), (2, 12), (3, 4), (3, 12), (5, 9), (6, 12), (6, 13), (7, 8), (7, 9), (7, 17), (8, 9), (8, 17), (10, 11), (10, 15), (11, 14), (13, 18), (14, 15), (16, 18)]
19
26
true
6
2
6
8
7,9,17
12
8
false
12
8
true
12
8
6
erdos
[(0, 2), (0, 3), (0, 4), (0, 7), (0, 10), (1, 7), (1, 14), (1, 17), (2, 3), (2, 4), (2, 7), (3, 4), (4, 5), (4, 6), (5, 6), (5, 9), (5, 10), (7, 10), (7, 17), (8, 9), (8, 11), (8, 16), (8, 17), (9, 17), (10, 17), (11, 12), (11, 13), (11, 14), (11, 17), (12, 13), (12, 14), (14, 15), (16, 17)]
18
33
true
14
8
4
8
9,11,16,17
5
6
true
5
6
true
5
6
1
erdos
[(0, 1), (1, 2), (2, 22), (3, 5), (3, 29), (4, 22), (4, 28), (5, 6), (6, 17), (7, 11), (8, 27), (9, 30), (10, 11), (11, 30), (12, 16), (13, 28), (14, 15), (14, 20), (15, 25), (16, 17), (16, 18), (17, 18), (19, 21), (19, 27), (22, 23), (24, 30), (25, 26)]
31
27
true
1
21
1
21
19
18
29
false
18
29
true
18
29
5
erdos
[(0, 1), (0, 7), (0, 9), (0, 15), (1, 6), (1, 8), (1, 17), (2, 16), (2, 19), (3, 5), (3, 13), (3, 17), (4, 9), (4, 15), (5, 6), (5, 12), (6, 17), (7, 12), (8, 10), (8, 11), (9, 11), (9, 19), (10, 14), (13, 16), (14, 18), (17, 18)]
20
26
true
1
10
2
19
2,9
13
14
false
13
14
true
13
14
4
erdos
[(0, 4), (0, 13), (0, 15), (1, 4), (1, 5), (2, 3), (2, 9), (2, 17), (3, 12), (3, 15), (4, 6), (4, 11), (4, 14), (5, 12), (5, 13), (6, 7), (7, 12), (7, 14), (8, 9), (8, 13), (9, 12), (10, 16), (10, 17), (11, 13), (11, 16), (15, 16)]
18
26
true
0
1
2
3
2,12,15
8
15
false
8
15
true
8
15
3
erdos
[(0, 1), (0, 4), (0, 16), (1, 20), (2, 3), (2, 8), (3, 12), (5, 20), (6, 7), (6, 9), (7, 10), (8, 18), (8, 19), (9, 14), (10, 13), (11, 13), (12, 17), (15, 18)]
21
18
false
0
4
1
20
1,5
3
10
false
3
10
false
3
10
-1
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (2, 3), (2, 4), (3, 4), (3, 5), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (5, 6), (5, 9), (5, 10), (5, 11), (5, 12), (6, 11), (6, 13), (7, 8), (7, 9), (8, 9), (8, 10), (8, 21), (8, 22), (9, 10), (9, 12), (9, 21), (9, 22), (10, 11), (10, 13), (10, 15), (10, 16), (10, 18), (11, 13)...
27
56
true
34
24
2
11
5,6,10,13,14,15
11
21
false
11
21
true
11
21
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 6), (0, 7), (0, 8), (0, 9), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (3, 4), (3, 5), (3, 6), (3, 7), (3, 9), (4, 6), (5, 9), (6, 7), (6, 8), (6, 10), (7, 8), (7, 10), (8, 10), (8, 12), (8, 13), (9, 15), (11, 14), (11, 15), (12, 13), (14, 15)]
16
36
true
32
3
8
0
1,2,3,4,6,7,8,9
7
5
false
7
5
true
7
5
2
erdos
[(0, 1), (0, 4), (0, 6), (2, 5), (2, 7), (3, 8), (6, 7)]
9
7
false
0
1
1
1
0
5
3
false
5
3
false
5
3
-1
erdos
[(0, 3), (0, 5), (0, 6), (0, 8), (1, 4), (2, 3), (2, 4), (2, 5), (2, 7), (2, 8), (3, 7), (3, 8), (6, 8), (7, 8), (7, 9), (8, 9)]
10
16
true
7
1
1
2
3,4,5,7,8
5
3
false
5
3
true
5
3
2
erdos
[(0, 8), (1, 5), (1, 11), (1, 16), (2, 9), (2, 15), (3, 4), (3, 6), (4, 6), (5, 11), (5, 13), (5, 14), (5, 16), (6, 15), (7, 14), (7, 17), (8, 17), (9, 10), (9, 12), (10, 12), (13, 14), (13, 16), (14, 16)]
18
23
true
8
17
2
17
7,8
5
13
true
5
13
true
5
13
1
erdos
[(0, 3), (0, 4), (0, 6), (0, 7), (0, 10), (0, 11), (0, 13), (1, 2), (1, 8), (2, 8), (2, 12), (3, 4), (3, 6), (3, 7), (3, 9), (3, 10), (3, 11), (4, 9), (4, 10), (4, 11), (5, 11), (5, 13), (6, 7), (6, 10), (6, 11), (6, 13), (7, 10), (7, 11), (7, 13), (9, 10), (9, 11), (9, 13), (10, 11), (10, 13), (11, 13)]
14
35
true
46
4
5
9
3,4,10,11,13
2
3
false
2
3
false
2
3
-1
erdos
[(0, 1), (0, 10), (1, 2), (2, 3), (3, 4), (5, 6), (5, 7), (5, 8), (6, 9)]
11
9
false
0
0
2
1
0,2
9
1
false
9
1
false
9
1
-1
erdos
[(0, 1), (0, 2), (0, 4), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 15), (0, 16), (0, 17), (0, 18), (0, 20), (0, 21), (0, 22), (0, 23), (0, 24), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (1, 16), (1, 19), (1, 20), (1, 21), ...
25
244
true
1,244
7
19
6
0,1,2,4,7,8,9,11,12,15,16,17,19,20,21,23,24
0
1
true
0
1
true
0
1
1
erdos
[(0, 1), (1, 2), (2, 3), (2, 4), (5, 6), (5, 19), (7, 8), (8, 9), (9, 32), (10, 11), (10, 14), (11, 12), (12, 13), (13, 15), (15, 17), (16, 17), (18, 19), (20, 23), (21, 24), (21, 33), (22, 23), (22, 27), (25, 26), (25, 27), (26, 33), (28, 29), (29, 30), (30, 31), (31, 32)]
34
29
false
0
21
2
20
23
8
24
false
8
24
false
8
24
-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), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (...
16
120
true
560
3
15
7
0,1,2,3,4,5,6,8,9,10,11,12,13,14,15
11
2
true
11
2
true
11
2
1
erdos
[(0, 1), (0, 4), (1, 2), (1, 3), (2, 3), (3, 7), (3, 8), (3, 9), (3, 10), (5, 6), (5, 14), (5, 15), (7, 8), (8, 9), (9, 10), (9, 17), (10, 17), (10, 18), (11, 13), (12, 21), (12, 22), (13, 14), (13, 15), (13, 16), (14, 15), (14, 16), (17, 18), (18, 25), (19, 20), (19, 26), (19, 27), (20, 26), (20, 27), (21, 22), (21, 2...
28
39
true
15
6
1
4
0
23
17
false
23
17
false
23
17
-1
erdos
[(0, 8), (1, 14), (2, 6), (2, 10), (3, 11), (4, 13), (4, 14), (5, 9), (5, 11), (6, 10), (6, 12), (7, 13), (8, 12), (9, 10)]
15
14
true
1
3
1
9
5,10
0
5
false
0
5
true
0
5
6
erdos
[(0, 1), (0, 2), (0, 3), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (3, 7), (4, 5), (4, 6), (4, 11), (4, 17), (4, 18), (4, 20), (5, 6), (5, 17), (5, 18), (6, 18), (7, 8), (8, 9), (8, 10), (9, 10), (9, 21), (11, 12), (11, 13), (11, 14), (11, 17), (11, 18), (12...
28
60
true
47
22
2
3
0,1,2,7
27
26
false
27
26
true
27
26
5
erdos
[(0, 17), (1, 3), (1, 14), (2, 17), (3, 14), (4, 8), (4, 15), (4, 16), (5, 15), (5, 16), (6, 7), (6, 9), (6, 14), (7, 9), (7, 14), (8, 15), (8, 16), (9, 14), (10, 11), (10, 12), (10, 15), (10, 18), (11, 12), (11, 15), (11, 16), (11, 18), (12, 15), (12, 16), (13, 17), (15, 16), (15, 18)]
19
31
true
20
14
5
16
4,5,8,11,12,15
14
18
false
14
18
false
14
18
-1
erdos
[(0, 1), (0, 2), (1, 2), (1, 3), (2, 3), (2, 10), (2, 23), (3, 10), (3, 23), (4, 5), (5, 7), (6, 8), (6, 9), (7, 24), (7, 25), (7, 26), (7, 27), (7, 28), (8, 9), (10, 21), (11, 12), (11, 13), (12, 13), (12, 14), (13, 15), (15, 23), (16, 17), (16, 18), (16, 21), (16, 22), (17, 18), (17, 19), (17, 20), (18, 19), (18, 21)...
29
45
true
24
0
2
9
6,8
12
5
false
12
5
false
12
5
-1
erdos
[(0, 1), (1, 2), (1, 4), (1, 6), (1, 7), (2, 5), (2, 6), (2, 7), (3, 4), (4, 5), (4, 6), (4, 7), (5, 7), (6, 7)]
8
14
true
9
6
4
7
1,2,4,5,6
3
6
false
3
6
true
3
6
2
erdos
[(0, 9), (1, 20), (1, 21), (2, 7), (2, 10), (2, 26), (3, 6), (3, 18), (4, 15), (4, 16), (4, 18), (5, 8), (5, 11), (5, 29), (6, 11), (6, 18), (6, 21), (6, 29), (7, 12), (7, 24), (7, 26), (8, 9), (8, 12), (8, 19), (8, 30), (11, 27), (12, 18), (12, 19), (12, 23), (12, 24), (13, 17), (13, 25), (14, 22), (14, 29), (15, 20),...
31
41
true
7
30
1
11
5,6,27
23
4
false
23
4
true
23
4
3
erdos
[(0, 1), (1, 3), (2, 3), (2, 4), (2, 5), (3, 5), (4, 5)]
6
7
true
2
2
3
5
2,3,4
0
3
false
0
3
true
0
3
2
erdos
[(0, 2), (0, 4), (1, 11), (1, 12), (2, 4), (3, 7), (3, 8), (5, 9), (5, 10), (6, 7), (6, 9), (6, 10), (6, 11), (6, 12), (7, 8), (7, 11), (7, 12), (8, 12), (10, 11), (11, 12)]
13
20
true
9
1
2
7
3,6,8,11,12
12
7
true
12
7
true
12
7
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 4), (1, 5), (2, 4), (2, 6), (3, 4), (3, 5), (4, 5), (4, 7), (5, 7), (5, 18), (6, 21), (7, 25), (7, 26), (8, 9), (8, 12), (8, 13), (8, 14), (9, 10), (9, 11), (10, 12), (10, 15), (10, 17), (11, 13), (11, 14), (11, 15), (11, 23), (11, 24), (12, 15), (12, 16), (12, 17), ...
33
52
true
22
31
2
24
11,23
1
25
false
1
25
true
1
25
3
erdos
[(0, 11), (0, 12), (0, 14), (0, 15), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (2, 11), (2, 12), (2, 14), (2, 15), (3, 11), (3, 13), (3, 14), (3, 15), (4, 11), (4, 13), (4, 14), (4, 15), (5, 11), (5, 12), (5, 14), (5, 15), (6, 11), (6, 13), (6, 14), (6, 15), (7, 11), (7, 13), (7, 14), (7, 15), (8, 11), (8, 12), (8, ...
16
48
true
0
10
5
0
11,12,14,15
11
2
true
11
2
true
11
2
1
erdos
[(0, 1), (0, 2), (0, 7), (0, 20), (0, 22), (0, 28), (1, 2), (1, 7), (1, 20), (1, 22), (1, 23), (1, 28), (2, 7), (2, 20), (2, 22), (2, 23), (2, 28), (3, 15), (3, 17), (3, 18), (3, 21), (3, 26), (3, 27), (4, 11), (4, 24), (5, 10), (6, 9), (6, 10), (6, 12), (7, 20), (7, 22), (7, 23), (8, 9), (8, 10), (8, 14), (8, 16), (9,...
30
64
true
67
25
4
20
0,1,2,7,19,22,23,25,28
12
10
true
12
10
true
12
10
1
erdos
[(0, 2), (0, 3), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (2, 3), (2, 4), (2, 5), (2, 7), (3, 4), (4, 6), (4, 7), (4, 8), (4, 9), (5, 6), (5, 14), (6, 7), (6, 8), (6, 9), (6, 13), (6, 14), (7, 8), (7, 9), (8, 9), (8, 13), (8, 18), (8, 19), (9, 13), (9, 18), (9, 19), (10, 12), (10, 15), (11, 13), (11, 17), (11, 1...
20
43
true
38
13
6
1
2,3,4,5,6,7
6
1
true
6
1
true
6
1
1
erdos
[(0, 1), (0, 2), (1, 2), (2, 10), (3, 4), (3, 5), (4, 5), (4, 17), (4, 18), (6, 8), (6, 19), (7, 16), (7, 18), (8, 9), (8, 10), (9, 10), (11, 13), (11, 14), (11, 16), (12, 15), (12, 19), (13, 17), (13, 18), (14, 16), (15, 19), (16, 18), (17, 18)]
20
27
true
8
11
3
4
3,5,17,18
1
15
false
1
15
true
1
15
6
erdos
[(0, 2), (0, 11), (0, 15), (1, 12), (1, 13), (1, 16), (2, 5), (2, 11), (3, 4), (4, 13), (5, 7), (5, 9), (5, 10), (5, 14), (6, 16), (7, 8), (7, 9), (7, 10), (8, 9), (8, 10), (9, 10), (9, 14), (10, 14), (12, 13)]
17
24
true
12
1
3
7
5,8,9,10
10
11
false
10
11
true
10
11
3
erdos
[(0, 3), (1, 6), (1, 12), (2, 5), (3, 10), (3, 14), (4, 10), (5, 16), (6, 7), (6, 9), (6, 10), (6, 15), (7, 10), (7, 12), (8, 9), (8, 11), (9, 11), (9, 15), (13, 14), (13, 16), (14, 16)]
17
21
true
4
3
3
4
10
14
12
false
14
12
true
14
12
4
erdos
[(0, 1), (0, 5), (0, 9), (1, 10), (2, 3), (2, 4), (2, 6), (2, 7), (4, 8), (5, 9), (5, 10), (6, 7), (7, 8)]
11
13
true
2
8
2
7
2,6,8
0
2
false
0
2
false
0
2
-1
erdos
[(0, 1), (0, 5), (1, 2), (2, 3), (3, 4)]
6
5
false
0
3
2
4
3
2
0
false
2
0
true
2
0
2
erdos
[(0, 1), (0, 2), (1, 2), (1, 4), (1, 6), (2, 18), (2, 19), (2, 20), (3, 4), (3, 5), (5, 21), (6, 18), (6, 19), (7, 8), (7, 9), (7, 10), (7, 11), (7, 12), (8, 9), (8, 13), (9, 11), (9, 12), (10, 11), (10, 12), (10, 14), (11, 12), (11, 14), (12, 14), (12, 15), (13, 22), (14, 15), (14, 16), (15, 16), (15, 17), (16, 17), (...
23
37
true
18
15
4
9
7,8,11,12
16
19
false
16
19
false
16
19
-1
erdos
[(0, 5), (0, 13), (1, 7), (1, 10), (2, 12), (2, 13), (3, 7), (4, 6), (4, 8), (4, 12), (7, 11), (7, 12), (9, 12), (10, 11), (10, 13), (12, 14)]
15
16
true
0
3
1
13
0,2,10
13
8
false
13
8
true
13
8
4
erdos
[(0, 1), (0, 8), (0, 15), (1, 2), (1, 9), (3, 4), (3, 5), (5, 10), (6, 7), (6, 14), (7, 8), (7, 15), (8, 9), (10, 11), (10, 13), (11, 12), (12, 13), (14, 15)]
16
18
true
0
6
2
9
1,8
15
11
false
15
11
false
15
11
-1
erdos
[(0, 7), (1, 8), (2, 3), (2, 6), (2, 8), (2, 9), (3, 6), (3, 8), (3, 9), (3, 10), (4, 5), (4, 8), (5, 6), (5, 10), (5, 11), (6, 8), (6, 10), (6, 11), (8, 10), (8, 11), (10, 11)]
12
21
true
14
10
5
0
7
11
6
true
11
6
true
11
6
1
erdos
[(0, 15), (1, 26), (2, 26), (3, 4), (3, 5), (3, 7), (3, 16), (3, 22), (3, 23), (4, 5), (4, 16), (5, 16), (6, 26), (7, 10), (7, 16), (8, 9), (9, 25), (10, 16), (10, 21), (11, 24), (12, 13), (12, 14), (12, 17), (12, 19), (12, 20), (12, 24), (14, 17), (14, 18), (14, 19), (14, 20), (16, 21), (16, 22), (17, 18), (18, 19), (...
27
35
true
13
20
2
21
10,16
21
20
false
21
20
false
21
20
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 7), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 6), (3, 8), (3, 9), (4, 5), (4, 8), (4, 13), (4, 14), (5, 6), (5, 13), (6, 13), (7, 10), (7, 11), (7, 12), (8, 9), (8, 14), (10, 11)]
15
25
true
10
14
2
14
4,8
13
9
false
13
9
true
13
9
3
erdos
[(0, 2), (0, 3), (0, 4), (0, 5), (0, 7), (0, 11), (1, 6), (1, 9), (2, 3), (2, 4), (2, 7), (2, 8), (2, 11), (3, 4), (3, 5), (3, 15), (4, 15), (5, 14), (5, 15), (6, 8), (6, 9), (6, 10), (7, 8), (7, 11), (9, 10), (9, 12), (9, 13), (10, 12), (10, 13), (11, 17), (11, 18), (12, 13), (16, 17), (16, 18), (16, 19), (17, 18), (1...
20
37
true
21
6
4
0
2,3,4,5,7,11
9
12
true
9
12
true
9
12
1
erdos
[(0, 7), (0, 10), (0, 16), (1, 7), (2, 6), (2, 14), (3, 8), (3, 9), (3, 10), (3, 11), (3, 13), (4, 12), (4, 15), (5, 7), (5, 14), (5, 15), (5, 16), (6, 15), (8, 10), (8, 11), (8, 13), (9, 13), (9, 16), (10, 13), (11, 13), (12, 15), (15, 16)]
17
27
true
10
16
4
15
4,5,6,12,16
10
13
true
10
13
true
10
13
1
erdos
[(0, 1), (0, 7), (1, 2), (1, 3), (1, 6), (1, 7), (1, 9), (1, 10), (2, 4), (2, 10), (3, 5), (3, 6), (3, 7), (3, 9), (6, 7), (6, 8), (6, 9), (7, 9), (7, 10), (8, 9)]
11
20
true
14
5
1
7
0,1,3,6,9,10
8
9
true
8
9
true
8
9
1
erdos
[(0, 1), (0, 2), (1, 2)]
3
3
true
1
1
2
0
1,2
1
2
true
1
2
true
1
2
1
erdos
[(0, 1), (0, 2), (0, 4), (0, 5), (1, 2), (1, 3), (2, 3), (2, 5), (3, 5), (3, 6), (3, 9), (4, 5), (4, 6), (4, 7), (5, 6), (5, 8), (6, 7), (6, 8), (6, 16), (6, 19), (7, 16), (7, 17), (8, 10), (8, 19), (8, 20), (9, 10), (9, 15), (10, 20), (11, 18), (12, 13), (13, 14), (14, 15), (16, 17), (16, 19), (17, 18), (19, 20)]
21
36
true
15
11
1
1
0,2,3
8
1
false
8
1
true
8
1
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (2, 4), (2, 5), (2, 31), (2, 32), (2, 33), (4, 5), (4, 32), (4, 33), (5, 33), (6, 10), (6, 16), (6, 20), (7, 8), (7, 9), (7, 12), (7, 13), (7, 14), (7, 15), (8, 9), (8, 11), (9, 11), (10, 19), (10, 20), (10, 26), (11, 29), (12, 14), (12, 15), (12, 16), (12, 17), ...
34
62
true
37
32
5
30
31,32
16
14
false
16
14
true
16
14
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (1, 8), (1, 9), (1, 10), (1, 11), (1, 12), (1, 14), (1, 15), (1, 17), (2, 3), (2, 4), (2, 6), (2, 7), (3, 4), (3, 6), (3, 7), (3, 14), (3, 17), (3, 18), (3, 19), (4, 14), (4, 17), (5, 6), (6, 7), (7, 18), (8, 9), (9, 10), (9, 11), (9, 12),...
24
62
true
59
10
8
21
19,20,22,23
19
12
false
19
12
true
19
12
3
erdos
[(0, 4), (0, 10), (0, 11), (0, 16), (1, 12), (2, 10), (2, 12), (3, 9), (3, 11), (3, 14), (4, 10), (5, 13), (5, 16), (6, 16), (6, 17), (6, 18), (7, 19), (8, 15), (8, 17), (9, 14), (13, 16), (13, 19), (15, 17), (16, 17), (16, 18), (17, 18)]
20
26
true
8
17
5
17
6,8,15,16,18
11
15
false
11
15
true
11
15
4
erdos
[(0, 3), (0, 6), (0, 10), (0, 12), (0, 15), (0, 16), (1, 2), (1, 5), (1, 7), (1, 11), (1, 14), (1, 17), (2, 5), (2, 7), (2, 11), (2, 14), (2, 17), (3, 6), (3, 10), (3, 12), (3, 15), (3, 16), (4, 5), (4, 7), (4, 11), (4, 13), (4, 14), (4, 17), (5, 7), (5, 11), (5, 13), (5, 14), (5, 17), (6, 8), (6, 10), (7, 9), (7, 11),...
18
56
true
88
6
4
6
0,3,8,10
3
7
false
3
7
false
3
7
-1
erdos
[(0, 17), (0, 20), (0, 24), (1, 2), (1, 22), (1, 24), (2, 19), (3, 12), (3, 18), (4, 5), (4, 7), (4, 17), (5, 10), (5, 19), (6, 13), (7, 15), (8, 13), (8, 16), (9, 12), (9, 16), (10, 13), (11, 24), (11, 25), (12, 22), (13, 21), (14, 23), (14, 25), (15, 24), (16, 23), (18, 22)]
26
30
true
0
20
1
13
6,8,10,21
3
13
false
3
13
true
3
13
5
erdos
[(0, 4), (0, 8), (0, 10), (0, 13), (1, 2), (1, 3), (1, 11), (1, 14), (1, 15), (2, 3), (2, 9), (2, 14), (3, 9), (3, 11), (3, 14), (4, 6), (4, 12), (4, 13), (5, 16), (6, 7), (6, 10), (6, 12), (7, 10), (7, 12), (8, 16), (10, 12), (10, 13), (11, 14), (11, 15), (14, 15)]
17
30
true
18
16
2
3
1,2,9,11,14
0
13
true
0
13
true
0
13
1
erdos
[(0, 8), (0, 12), (1, 15), (2, 11), (3, 7), (3, 13), (4, 11), (5, 8), (5, 15), (6, 14), (7, 14), (8, 9), (9, 10), (9, 16), (11, 13), (12, 15), (12, 16)]
17
17
true
0
5
2
8
0,5,9
16
9
true
16
9
true
16
9
1
erdos
[(0, 2), (0, 5), (0, 9), (0, 11), (1, 3), (1, 8), (1, 12), (1, 13), (2, 4), (2, 5), (3, 8), (3, 12), (3, 13), (4, 5), (4, 6), (5, 9), (5, 10), (5, 11), (6, 15), (7, 9), (7, 10), (7, 11), (8, 13), (8, 14), (9, 10), (9, 11), (10, 11), (13, 14)]
16
28
true
18
12
2
7
9,10,11
7
5
false
7
5
true
7
5
2
erdos
[(0, 1), (0, 3), (0, 12), (1, 12), (2, 4), (2, 9), (2, 15), (3, 8), (3, 12), (3, 14), (4, 15), (4, 17), (5, 6), (5, 7), (6, 11), (8, 14), (9, 13), (10, 13), (10, 18), (11, 16), (12, 14)]
19
21
true
5
0
3
7
5
16
4
false
16
4
false
16
4
-1
erdos
[(0, 28), (0, 29), (1, 3), (1, 19), (1, 28), (2, 5), (2, 14), (2, 15), (3, 18), (4, 6), (4, 24), (5, 12), (5, 22), (7, 8), (7, 11), (8, 9), (9, 11), (10, 12), (11, 16), (12, 14), (13, 14), (13, 15), (16, 17), (18, 19), (20, 21), (20, 22), (23, 24), (25, 26), (26, 27)]
30
29
true
0
11
3
26
25,27
13
11
false
13
11
false
13
11
-1
erdos
[(0, 2), (0, 4), (0, 5), (1, 3), (1, 4), (2, 5)]
6
6
true
1
5
2
2
0,5
1
5
false
1
5
true
1
5
3
erdos
[(0, 2), (1, 2), (1, 7), (3, 6), (4, 5), (4, 7), (4, 8), (6, 9), (7, 8), (8, 9)]
10
10
true
1
6
2
7
1,4,8
7
2
false
7
2
true
7
2
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (0, 12), (0, 13), (0, 14), (0, 16), (0, 17), (0, 18), (0, 19), (0, 20), (0, 21), (0, 22), (0, 23), (0, 24), (0, 25), (0, 26), (0, 27), (0, 28), (0, 31), (1, 3), (1, 4), (1, 5), (1, 7), (1, 8), (1, 9), (1, 11), (1, 12), (1, 16), (1, 20), ...
32
280
true
1,271
16
25
19
0,2,3,4,5,6,7,8,9,10,11,12,13,14,16,17,18,20,21,22,24,25,26,27,29,30,31
21
6
true
21
6
true
21
6
1
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 3)]
4
6
true
4
0
3
0
1,2,3
2
0
true
2
0
true
2
0
1
erdos
[(0, 11), (0, 12), (0, 13), (1, 2), (1, 3), (1, 4), (1, 5), (2, 8), (2, 9), (3, 4), (3, 5), (4, 5), (4, 10), (4, 11), (5, 10), (5, 11), (5, 12), (5, 13), (6, 7), (6, 21), (6, 22), (7, 22), (8, 9), (8, 14), (8, 16), (8, 17), (9, 17), (10, 12), (10, 13), (11, 12), (11, 13), (12, 13), (15, 18), (19, 20), (19, 21), (19, 22...
23
38
true
22
14
1
13
0,5,10,11,12
10
1
false
10
1
true
10
1
2
erdos
[(0, 1), (0, 3), (0, 4), (1, 4), (1, 6), (1, 7), (2, 3), (2, 5), (3, 5), (3, 7), (4, 6), (4, 7), (5, 7)]
8
13
true
5
2
2
6
1,4
5
2
true
5
2
true
5
2
1
erdos
[(0, 1), (0, 2), (1, 2)]
3
3
true
1
0
2
2
0,1
2
1
true
2
1
true
2
1
1
erdos
[(0, 18), (0, 27), (1, 3), (1, 4), (2, 13), (2, 25), (3, 5), (5, 6), (6, 15), (7, 17), (8, 17), (8, 30), (9, 17), (9, 31), (10, 11), (12, 13), (13, 14), (16, 26), (16, 29), (19, 20), (19, 27), (21, 28), (22, 23), (22, 24), (22, 25), (23, 26), (23, 27), (23, 28)]
32
28
false
0
24
1
5
3,6
30
4
false
30
4
false
30
4
-1
erdos
[(0, 1), (1, 2), (2, 3), (2, 4)]
5
4
false
0
3
1
1
0,2
4
0
false
4
0
true
4
0
3
erdos
[(0, 5), (0, 6), (1, 2), (1, 3), (2, 3), (2, 8), (3, 8), (4, 7), (4, 8), (5, 6), (5, 9), (6, 9), (7, 9)]
10
13
true
4
3
3
3
1,2,8
5
2
false
5
2
true
5
2
5
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (0, 7), (1, 4), (1, 8), (2, 13), (2, 14), (2, 15), (2, 16), (3, 9), (3, 12), (3, 17), (3, 18), (3, 20), (3, 21), (4, 5), (4, 7), (4, 8), (4, 9), (5, 6), (5, 7), (6, 7), (8, 9), (9, 19), (9, 20), (10, 11), (10, 12), (11, 12), (11, 18), (11, 21), (12, 15), (12, 18), (12, 2...
23
48
true
29
9
5
2
0,13,14,15,16
8
16
false
8
16
true
8
16
4
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (1, 4), (1, 8), (2, 6), (2, 8), (2, 9), (3, 4), (3, 5), (3, 29), (3, 30), (4, 5), (4, 29), (5, 29), (5, 30), (5, 31), (6, 8), (6, 9), (6, 10), (6, 11), (7, 12), (7, 13), (7, 14), (7, 15), (7, 16), (7, 17), (8, 9), (8, 10), (8, 20), (9, 10), (9, 11), (9, 28), (10,...
33
67
true
48
1
5
3
0,1,4,5,29,30
13
4
false
13
4
false
13
4
-1
erdos
[(0, 15), (0, 16), (1, 2), (1, 3), (1, 4), (1, 5), (1, 6), (2, 3), (2, 4), (3, 4), (4, 5), (4, 6), (4, 8), (5, 6), (5, 8), (6, 7), (6, 8), (7, 8), (7, 14), (9, 10), (9, 11), (11, 12), (12, 13), (14, 17), (15, 16), (15, 17), (16, 17)]
18
27
true
14
16
3
8
4,5,6,7
14
16
false
14
16
true
14
16
2
erdos
[(0, 13), (1, 10), (2, 12), (2, 13), (3, 11), (4, 5), (4, 6), (4, 7), (4, 8), (4, 9), (4, 10), (5, 6), (5, 8), (6, 8), (7, 9), (7, 10), (8, 11), (9, 10), (12, 13)]
14
19
true
9
4
6
5
4,6,8
0
3
false
0
3
false
0
3
-1
erdos
[(0, 5), (0, 18), (1, 6), (1, 9), (1, 14), (2, 3), (2, 8), (3, 8), (4, 6), (4, 11), (4, 17), (5, 13), (6, 9), (7, 15), (8, 17), (10, 12), (10, 15), (10, 16), (11, 17), (11, 18), (12, 16), (12, 17), (13, 14)]
19
23
true
4
18
2
13
5,14
9
16
false
9
16
true
9
16
5
erdos
[(0, 1), (0, 7), (0, 10), (0, 11), (0, 15), (0, 16), (0, 19), (0, 20), (0, 24), (0, 26), (0, 28), (0, 31), (1, 6), (1, 7), (1, 10), (1, 11), (1, 15), (1, 16), (1, 20), (1, 24), (1, 32), (2, 5), (2, 8), (2, 9), (2, 12), (2, 13), (2, 14), (2, 18), (2, 19), (2, 23), (2, 25), (2, 26), (2, 27), (2, 28), (2, 30), (2, 31), (3...
34
248
true
934
29
16
3
4,6,8,12,13,17,18,21,22,23,25,27,29,30,32,33
19
21
false
19
21
true
19
21
3
erdos
[(0, 2), (0, 5), (0, 17), (0, 22), (1, 12), (2, 10), (2, 19), (2, 23), (3, 10), (3, 13), (4, 6), (4, 13), (5, 11), (6, 22), (7, 10), (7, 12), (7, 22), (7, 25), (8, 9), (9, 15), (9, 16), (10, 14), (10, 21), (10, 26), (11, 16), (11, 27), (12, 14), (13, 21), (14, 25), (15, 19), (17, 18), (18, 22), (19, 20), (23, 24), (25,...
28
35
true
0
7
4
22
0,6,7,18
25
18
false
25
18
true
25
18
3
erdos
[(0, 1), (0, 2), (0, 4), (1, 2), (1, 3), (1, 4), (2, 4), (2, 7), (3, 4), (3, 6), (3, 7), (4, 5), (4, 6), (4, 7), (4, 9), (5, 6), (5, 7), (5, 9), (6, 7), (6, 8), (6, 9), (7, 8), (7, 9)]
10
23
true
20
0
3
8
6,7
9
0
false
9
0
true
9
0
2
erdos
[(0, 2), (0, 5), (0, 14), (1, 16), (2, 5), (2, 15), (3, 16), (3, 21), (4, 6), (4, 24), (5, 6), (5, 7), (5, 10), (5, 12), (5, 13), (5, 14), (5, 20), (5, 21), (5, 24), (6, 14), (6, 25), (7, 14), (7, 26), (8, 19), (9, 16), (10, 14), (10, 17), (10, 22), (10, 23), (11, 13), (11, 20), (12, 14), (12, 18), (13, 14), (14, 16), ...
27
40
true
10
19
2
22
10
3
14
false
3
14
true
3
14
2
erdos
[(0, 1), (0, 3), (0, 4), (0, 6), (1, 3), (1, 4), (1, 6), (2, 5), (2, 25), (2, 26), (3, 4), (3, 6), (3, 7), (4, 6), (5, 23), (5, 26), (7, 9), (7, 12), (8, 9), (8, 11), (8, 12), (8, 13), (9, 10), (9, 11), (9, 12), (10, 11), (10, 12), (10, 13), (10, 14), (11, 12), (12, 13), (14, 24), (15, 17), (15, 18), (15, 20), (15, 22)...
29
51
true
31
19
2
18
15,17
7
24
false
7
24
true
7
24
4
erdos
[(0, 1), (0, 3), (0, 4), (0, 5), (1, 3), (1, 4), (1, 6), (2, 9), (2, 11), (3, 5), (3, 14), (3, 15), (3, 16), (4, 6), (4, 10), (5, 15), (5, 16), (7, 17), (7, 18), (8, 9), (8, 10), (9, 11), (10, 11), (12, 13), (12, 14), (12, 15), (13, 17), (13, 18), (14, 15), (14, 16), (15, 16), (17, 18)]
19
32
true
15
14
4
1
0,3,4,6
8
10
true
8
10
true
8
10
1
erdos
[(0, 8), (0, 9), (1, 8), (1, 9), (2, 8), (2, 9), (3, 8), (3, 9), (4, 8), (4, 9), (5, 8), (5, 9), (6, 8), (6, 9), (7, 8)]
10
15
true
0
4
2
4
8,9
8
0
true
8
0
true
8
0
1
erdos
[(0, 2), (0, 4), (1, 3), (1, 4), (2, 4)]
5
5
true
1
0
2
2
0,4
4
3
false
4
3
true
4
3
2
erdos
[(0, 1), (0, 4), (0, 9), (0, 10), (1, 4), (1, 10), (1, 25), (1, 30), (1, 31), (2, 7), (2, 26), (2, 33), (3, 11), (3, 19), (3, 21), (3, 27), (3, 29), (4, 30), (5, 6), (5, 10), (5, 31), (5, 33), (6, 10), (6, 20), (7, 19), (8, 11), (8, 21), (8, 25), (8, 29), (9, 14), (9, 26), (9, 31), (10, 28), (10, 31), (11, 12), (11, 27...
34
65
true
12
9
4
22
17,18,33
30
6
false
30
6
true
30
6
3
erdos
[(0, 1), (0, 5), (0, 6), (0, 7), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 8), (3, 4), (3, 8), (3, 9), (3, 10), (4, 10), (5, 6), (6, 7), (8, 9), (8, 10), (8, 31), (9, 10), (9, 22), (9, 27), (9, 31), (10, 19), (10, 20), (11, 24), (12, 13), (12, 14), (13, 14), (13, 15), (13, 16), (13, 17), (14, 17), (14, 18), (15, 16),...
32
50
true
19
17
3
4
1,2,3,10
15
1
false
15
1
false
15
1
-1
erdos
[(0, 6), (0, 8), (1, 6), (1, 8), (2, 5), (3, 4), (4, 6), (4, 8), (5, 7), (6, 7)]
9
10
true
0
7
2
2
5
4
1
false
4
1
true
4
1
2
erdos
[(0, 1), (0, 2), (1, 3), (2, 3), (2, 4)]
5
5
true
0
0
2
4
2
1
3
true
1
3
true
1
3
1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (2, 5), (3, 4), (3, 5), (3, 6), (3, 9), (3, 10), (3, 11), (4, 10), (4, 11), (4, 14), (5, 6), (5, 12), (6, 9), (6, 11), (6, 28), (7, 8), (7, 11), (7, 18), (7, 21), (8, 11), (8, 21), (9, 10), (9, 11), (9, 14), (9, 28), (10, 11), (10, 14), (11, 14), (11, 28), (12, 13), (14, 28), (1...
29
55
true
33
28
4
23
20,22,25
15
9
false
15
9
true
15
9
7
erdos
[(0, 2), (0, 4), (0, 5), (0, 6), (1, 2), (1, 4), (1, 5), (2, 4), (2, 5), (3, 4), (3, 7), (4, 5), (4, 6), (4, 7), (5, 6), (8, 9)]
10
16
true
11
8
1
5
0,1,2,4,6
9
7
false
9
7
false
9
7
-1
erdos
[(0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 7), (1, 27), (2, 5), (2, 21), (3, 4), (3, 6), (3, 24), (4, 5), (5, 21), (6, 24), (7, 15), (7, 16), (7, 27), (8, 9), (8, 10), (8, 11), (8, 12), (9, 11), (10, 12), (12, 13), (14, 16), (15, 16), (17, 19), (17, 26), (18, 19), (18, 20), (19, 20), (19, 26), (22, 25), (23, 25), (23...
28
37
true
13
0
5
17
19,26
1
11
false
1
11
false
1
11
-1
erdos
[(0, 15), (0, 18), (1, 7), (1, 10), (1, 17), (2, 8), (2, 11), (3, 15), (4, 14), (4, 19), (5, 13), (5, 17), (6, 19), (7, 8), (8, 10), (9, 11), (10, 11), (10, 12), (11, 16), (12, 16), (13, 14), (13, 18), (18, 19)]
20
23
true
0
17
2
5
13,17
3
10
false
3
10
true
3
10
8
erdos
[(0, 1), (0, 5), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (2, 3), (2, 4), (2, 9), (3, 4), (3, 10), (3, 11), (4, 10), (4, 12), (4, 13), (5, 6), (5, 16), (6, 7), (7, 8), (8, 11), (9, 15), (9, 20), (10, 13), (10, 18), (11, 18), (12, 13), (14, 15), (17, 19), (18, 19)]
21
31
true
10
13
3
14
15
8
6
false
8
6
true
8
6
2
erdos
[(0, 1), (0, 3), (2, 3), (2, 4)]
5
4
false
0
0
2
4
2
1
2
false
1
2
true
1
2
3
erdos
[(0, 1), (1, 2), (2, 31), (3, 4), (3, 31), (4, 5), (5, 6), (6, 7), (8, 9), (8, 10), (10, 28), (11, 12), (11, 15), (12, 13), (13, 14), (16, 17), (17, 18), (18, 19), (20, 21), (21, 22), (23, 24), (24, 25), (25, 26), (26, 27), (28, 29), (30, 31)]
32
26
false
0
29
1
9
8
12
17
false
12
17
false
12
17
-1
erdos
[(0, 1), (0, 2), (1, 14), (3, 10), (4, 5), (4, 9), (6, 8), (7, 10), (8, 12), (9, 13), (11, 14), (12, 13)]
15
12
false
0
0
2
0
1,2
4
5
true
4
5
true
4
5
1
erdos
[(0, 2), (0, 12), (0, 13), (0, 14), (1, 3), (1, 4), (2, 4), (2, 9), (3, 4), (3, 6), (3, 11), (3, 17), (4, 17), (5, 10), (5, 11), (7, 8), (7, 15), (9, 17), (9, 19), (14, 18), (16, 17)]
20
21
true
2
12
1
18
14
6
8
false
6
8
false
6
8
-1
erdos
[(0, 1), (0, 6), (0, 13), (1, 3), (1, 4), (1, 5), (2, 8), (2, 9), (2, 10), (3, 5), (3, 10), (3, 11), (3, 12), (4, 5), (4, 6), (5, 12), (6, 13), (7, 8), (7, 9), (7, 14), (8, 9), (9, 14), (10, 11), (10, 12)]
15
24
true
9
4
3
12
3,5,10
8
4
false
8
4
true
8
4
5
erdos
[(0, 1), (0, 6), (0, 8), (0, 10), (1, 3), (1, 10), (2, 7), (2, 9), (3, 4), (4, 11), (5, 6), (5, 10), (6, 8), (6, 10), (7, 9), (8, 10)]
12
16
true
7
1
3
7
2,9
2
3
false
2
3
false
2
3
-1
erdos
[(0, 1), (0, 2), (0, 4), (1, 2), (1, 3), (2, 3), (2, 4), (5, 6), (5, 8), (5, 9), (5, 10), (5, 11), (5, 12), (6, 7), (6, 8), (6, 9), (6, 10), (6, 11), (7, 8), (7, 11), (7, 13), (7, 14), (7, 15), (7, 17), (8, 9), (8, 10), (8, 11), (8, 13), (9, 10), (9, 12), (10, 12), (13, 14), (13, 15), (13, 16), (14, 15), (15, 16), (15,...
30
51
true
31
11
4
23
16,28
4
27
false
4
27
false
4
27
-1
erdos
[(0, 7), (0, 8), (0, 10), (0, 11), (0, 12), (0, 18), (1, 5), (1, 9), (1, 21), (1, 32), (2, 16), (2, 17), (2, 22), (2, 23), (3, 19), (3, 23), (3, 24), (3, 26), (4, 6), (4, 8), (4, 12), (4, 18), (5, 21), (5, 32), (6, 8), (6, 11), (6, 18), (7, 8), (7, 10), (7, 11), (7, 12), (7, 13), (7, 18), (8, 18), (9, 14), (9, 25), (9,...
34
66
true
50
25
4
9
1,14,25,27,28
7
28
false
7
28
false
7
28
-1