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, 3), (1, 3), (2, 4), (2, 5), (4, 5), (4, 8), (6, 7), (7, 9), (7, 10), (8, 9), (9, 10), (9, 11), (10, 11)]
12
14
true
4
8
2
0
1,3
2
1
false
2
1
false
2
1
-1
erdos
[(0, 9), (1, 6), (1, 13), (2, 10), (2, 18), (2, 19), (3, 4), (3, 11), (3, 18), (4, 5), (4, 9), (5, 7), (5, 9), (5, 18), (6, 7), (7, 10), (7, 13), (8, 15), (8, 19), (10, 11), (10, 13), (10, 16), (10, 18), (10, 19), (12, 17), (12, 19), (13, 17), (13, 18), (14, 15), (14, 18), (14, 19)]
20
31
true
5
10
7
4
3,5,9
10
19
true
10
19
true
10
19
1
erdos
[(0, 11), (0, 15), (1, 17), (2, 5), (2, 9), (3, 12), (4, 10), (4, 14), (5, 12), (6, 7), (6, 8), (6, 16), (10, 15), (10, 19), (11, 19), (13, 15), (15, 20), (16, 18), (17, 18)]
21
19
true
0
17
2
5
2,12
13
17
false
13
17
false
13
17
-1
erdos
[(0, 22), (0, 24), (0, 26), (1, 6), (1, 9), (1, 17), (1, 18), (1, 23), (2, 8), (2, 19), (2, 21), (3, 7), (3, 20), (4, 12), (4, 25), (5, 8), (5, 12), (5, 14), (5, 19), (5, 25), (6, 9), (6, 23), (7, 16), (7, 20), (8, 19), (8, 25), (10, 12), (10, 14), (11, 13), (11, 15), (11, 22), (11, 24), (12, 14), (12, 25), (13, 15), (...
27
45
true
23
19
4
3
7,20
25
19
false
25
19
true
25
19
2
erdos
[(0, 8), (1, 2), (1, 3), (1, 6), (3, 4), (5, 6), (6, 7)]
9
7
false
0
1
3
8
0
0
1
false
0
1
false
0
1
-1
erdos
[(0, 1), (0, 2), (0, 3), (1, 2), (1, 3), (2, 7), (2, 8), (3, 5), (4, 5), (6, 7), (7, 8)]
9
11
true
3
4
1
6
7
2
8
true
2
8
true
2
8
1
erdos
[(0, 15), (0, 17), (1, 2), (2, 9), (3, 4), (3, 16), (5, 15), (5, 20), (6, 10), (7, 11), (7, 18), (8, 14), (8, 17), (10, 20), (11, 12), (11, 13), (12, 19), (12, 21), (13, 19), (13, 21), (16, 18), (16, 19)]
22
22
true
0
0
2
21
12,13
20
15
false
20
15
true
20
15
2
erdos
[(0, 2), (0, 5), (0, 7), (1, 2), (1, 6), (1, 12), (1, 14), (1, 16), (2, 3), (2, 4), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 12), (2, 14), (2, 15), (2, 16), (2, 17), (3, 4), (3, 13), (4, 5), (5, 15), (5, 17), (6, 7), (6, 8), (6, 12), (6, 16), (7, 14), (7, 17), (8, 9), (9, 14), (9, 15), (10, 11), (12, 15), (...
18
41
true
31
17
6
16
1,2,6,12
5
13
false
5
13
true
5
13
3
erdos
[(0, 1), (0, 2), (0, 8), (3, 4), (4, 11), (4, 16), (5, 6), (5, 7), (6, 21), (7, 18), (8, 9), (9, 10), (11, 12), (12, 13), (14, 22), (15, 26), (17, 20), (17, 21), (19, 20), (22, 24), (23, 24), (24, 25), (26, 27)]
28
23
false
0
16
1
1
0
27
12
false
27
12
false
27
12
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (0, 5), (1, 2), (1, 3), (2, 3), (2, 4), (2, 6), (3, 4), (3, 5), (3, 7), (4, 5), (4, 7), (4, 21), (4, 22), (5, 6), (5, 7), (5, 21), (5, 22), (6, 8), (6, 9), (7, 17), (7, 18), (7, 21), (7, 22), (8, 9), (9, 23), (10, 11), (10, 12), (10, 16), (11, 12), (11, 13), (11, 14), (11, 15), (12, 14)...
26
54
true
41
17
4
16
10,12
24
8
false
24
8
true
24
8
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (0, 6), (0, 7), (0, 8), (0, 9), (0, 10), (0, 11), (1, 3), (1, 4), (1, 5), (1, 6), (1, 7), (1, 8), (1, 9), (1, 10), (1, 11), (2, 3), (2, 5), (2, 6), (2, 7), (2, 8), (2, 9), (2, 10), (2, 11), (3, 4), (3, 5), (3, 6), (3, 7), (3, 11), (4, 5), (4, 6), (4, 9), (4, 11), (5, 7), (5, 8), (5, 9),...
12
50
true
95
1
10
5
0,1,2,3,4,7,8,9,10
1
6
true
1
6
true
1
6
1
erdos
[(0, 1), (0, 2), (0, 4), (0, 5), (1, 4), (1, 5), (2, 5), (2, 7), (3, 9), (3, 12), (3, 14), (4, 5), (6, 8), (6, 10), (6, 11), (6, 13), (8, 11), (8, 13), (9, 12), (9, 14), (10, 11), (11, 13), (11, 14)]
15
23
true
12
14
3
2
0,5,7
10
1
false
10
1
false
10
1
-1
erdos
[(0, 1), (0, 2), (0, 7), (1, 2), (1, 4), (2, 4), (2, 7), (3, 5), (3, 6), (4, 7), (5, 6), (5, 8), (7, 8)]
9
13
true
5
1
3
7
0,2,4,8
8
1
false
8
1
true
8
1
3
erdos
[(0, 4), (0, 8), (0, 9), (0, 12), (0, 20), (0, 21), (0, 23), (0, 30), (1, 7), (2, 3), (2, 5), (2, 6), (2, 18), (2, 19), (2, 28), (3, 5), (3, 6), (3, 18), (3, 19), (3, 28), (4, 8), (4, 9), (4, 12), (4, 20), (4, 21), (4, 23), (4, 30), (5, 18), (6, 18), (7, 17), (8, 9), (8, 12), (9, 12), (9, 20), (9, 21), (9, 23), (9, 30)...
31
65
true
63
30
4
3
2,5,6,18,19,28
10
17
false
10
17
false
10
17
-1
erdos
[(0, 15), (0, 16), (0, 17), (0, 23), (0, 25), (0, 27), (1, 11), (1, 19), (1, 20), (1, 21), (2, 3), (2, 6), (2, 12), (3, 6), (3, 12), (4, 5), (4, 18), (4, 26), (5, 18), (5, 26), (6, 12), (7, 9), (7, 10), (7, 22), (8, 10), (8, 26), (9, 10), (9, 22), (10, 26), (11, 14), (11, 19), (11, 20), (11, 21), (11, 24), (13, 15), (1...
28
55
true
53
9
3
12
2,3,6
26
0
false
26
0
false
26
0
-1
erdos
[(0, 1), (0, 9), (1, 2), (2, 3), (3, 4), (4, 5), (6, 7), (8, 9)]
10
8
false
0
6
1
5
4
9
2
false
9
2
true
9
2
3
erdos
[(0, 9), (0, 15), (1, 3), (1, 5), (1, 14), (1, 15), (1, 21), (1, 29), (2, 6), (2, 19), (3, 4), (3, 10), (3, 23), (5, 23), (5, 25), (7, 23), (7, 26), (7, 31), (8, 23), (8, 24), (8, 28), (10, 11), (10, 14), (10, 18), (10, 28), (11, 18), (12, 15), (12, 22), (13, 16), (13, 17), (14, 30), (17, 27), (19, 26), (20, 21), (22, ...
32
38
true
1
23
5
22
12,25
9
16
false
9
16
true
9
16
9
erdos
[(0, 6), (0, 15), (1, 12), (1, 14), (2, 3), (2, 6), (3, 6), (3, 9), (3, 15), (4, 17), (5, 11), (5, 12), (5, 13), (6, 13), (6, 15), (7, 16), (8, 9), (8, 10), (8, 13), (9, 13), (10, 16), (11, 18), (13, 17), (13, 19), (18, 19)]
20
25
true
4
11
2
1
12,14
8
3
false
8
3
true
8
3
2
erdos
[(0, 1), (0, 2), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (2, 6), (3, 4), (5, 7), (7, 8)]
9
11
true
3
1
4
4
1,3
7
3
false
7
3
true
7
3
4
erdos
[(0, 5), (0, 6), (1, 6), (1, 7), (2, 4), (2, 5), (3, 4), (3, 8)]
9
8
false
0
4
2
6
0,1
4
3
true
4
3
true
4
3
1
erdos
[(0, 1), (0, 2), (0, 8), (0, 9), (0, 10), (1, 2), (1, 4), (1, 6), (1, 7), (3, 5), (4, 6), (5, 12), (6, 7), (6, 13), (7, 13), (7, 15), (8, 9), (8, 10), (8, 11), (9, 11), (9, 14), (10, 20), (12, 20), (13, 15), (13, 18), (15, 18), (15, 19), (16, 17), (16, 19), (17, 18)]
21
30
true
9
2
2
6
1,4,7,13
6
14
false
6
14
true
6
14
4
erdos
[(0, 10), (1, 9), (1, 11), (2, 25), (2, 26), (3, 9), (3, 16), (4, 10), (5, 6), (6, 18), (7, 17), (7, 19), (7, 24), (8, 13), (10, 22), (11, 18), (12, 22), (12, 23), (13, 16), (14, 15), (14, 20), (15, 23), (21, 24), (24, 25)]
27
24
false
0
18
2
26
2
4
11
false
4
11
false
4
11
-1
erdos
[(0, 2), (0, 5), (1, 4), (2, 6), (2, 8), (3, 6), (3, 7), (4, 7), (4, 9), (5, 9), (7, 8)]
10
11
true
0
2
3
3
6,7
6
0
false
6
0
true
6
0
2
erdos
[(0, 28), (0, 29), (1, 12), (1, 30), (2, 29), (3, 5), (3, 21), (3, 32), (4, 11), (4, 26), (4, 27), (6, 7), (6, 12), (7, 8), (7, 14), (8, 9), (9, 19), (10, 11), (13, 17), (15, 28), (15, 31), (15, 32), (16, 18), (16, 24), (16, 33), (17, 22), (18, 30), (20, 22), (20, 25), (21, 32), (23, 24), (23, 31), (24, 25), (24, 30), ...
34
40
true
4
13
1
7
6,8,14
28
31
false
28
31
true
28
31
2
erdos
[(0, 10), (0, 12), (0, 13), (0, 15), (0, 16), (0, 17), (0, 18), (0, 19), (0, 20), (0, 21), (0, 23), (0, 24), (0, 25), (0, 26), (1, 10), (1, 11), (1, 12), (1, 13), (1, 14), (1, 15), (1, 16), (1, 17), (1, 18), (1, 21), (1, 22), (1, 23), (1, 25), (1, 27), (2, 10), (2, 12), (2, 13), (2, 14), (2, 15), (2, 16), (2, 17), (2, ...
28
133
true
0
4
12
15
0,1,2,3,4,5,6,7,8,9
20
19
false
20
19
true
20
19
2
erdos
[(0, 1), (0, 9), (1, 3), (2, 4), (2, 14), (3, 5), (3, 9), (5, 8), (5, 12), (6, 14), (7, 11), (7, 13), (8, 10), (10, 12), (14, 15)]
16
15
true
0
12
2
2
4,14
3
0
false
3
0
true
3
0
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (1, 5), (2, 5), (2, 6), (3, 4), (3, 29), (3, 31), (4, 31), (5, 6), (5, 7), (5, 8), (6, 8), (6, 9), (7, 13), (8, 9), (8, 10), (8, 11), (9, 11), (9, 12), (10, 26), (11, 12), (11, 13), (11, 14), (12, 13), (12, 15), (14, 24), (14, 25), (15, 17), (15, 18), (15, 19), (15, 20),...
32
48
true
14
19
2
17
15,16,18
6
24
false
6
24
true
6
24
4
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (0, 6), (1, 2), (1, 3), (1, 4), (2, 4), (3, 5), (3, 6), (4, 26), (4, 27), (5, 6), (5, 8), (5, 9), (5, 10), (5, 13), (5, 15), (5, 17), (6, 15), (6, 16), (6, 17), (7, 8), (7, 9), (7, 10), (7, 14), (8, 9), (8, 10), (8, 14), (9, 10), (9, 13), (10, 13), (10, 15), (10, 31), (11, 12), (11, 15)...
32
63
true
44
0
5
0
1,2,3,5,6
16
30
false
16
30
false
16
30
-1
erdos
[(0, 1), (0, 2), (0, 3), (0, 5), (0, 6), (0, 7), (0, 8), (1, 2), (1, 3), (1, 4), (2, 6), (2, 9), (2, 10), (3, 4), (3, 5), (3, 25), (3, 27), (4, 27), (5, 7), (5, 11), (6, 8), (6, 10), (6, 12), (6, 13), (7, 8), (7, 14), (8, 13), (8, 15), (10, 12), (11, 14), (11, 29), (11, 30), (12, 13), (12, 23), (13, 15), (13, 23), (14,...
32
60
true
28
20
5
26
25,28,29
27
21
false
27
21
true
27
21
6
erdos
[(0, 2), (0, 3), (0, 4), (0, 5), (0, 6), (1, 7), (2, 3), (2, 5), (2, 7), (3, 4), (3, 5), (4, 6), (4, 8), (4, 9), (5, 7), (6, 8), (6, 9), (8, 9)]
10
18
true
11
8
3
7
1,2,5
6
7
false
6
7
true
6
7
3
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (1, 2), (1, 3), (2, 3), (4, 5)]
6
8
true
4
4
2
2
0,1,3
1
3
true
1
3
true
1
3
1
erdos
[(0, 1), (0, 4), (1, 2), (1, 3), (2, 3), (2, 5), (2, 6), (4, 5), (5, 6)]
7
9
true
2
5
3
6
2,5
0
2
false
0
2
true
0
2
2
erdos
[(0, 1), (0, 2), (0, 3), (0, 4), (2, 3), (2, 4), (2, 5), (2, 6), (3, 4), (3, 5), (4, 5), (4, 6), (4, 7), (5, 6), (5, 7), (6, 7), (7, 8)]
9
17
true
13
7
4
1
0
6
1
false
6
1
true
6
1
3
erdos
[(0, 4), (0, 7), (1, 2), (1, 5), (1, 10), (1, 14), (2, 5), (2, 10), (2, 14), (3, 4), (3, 6), (3, 9), (3, 11), (3, 13), (3, 15), (4, 11), (4, 15), (5, 8), (5, 10), (5, 14), (6, 14), (6, 16), (7, 16), (9, 13), (9, 15), (10, 14), (11, 12), (11, 13), (11, 15), (12, 13), (13, 15)]
17
31
true
21
6
3
4
0,3,11,15
2
11
false
2
11
true
2
11
4
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
5
8
7
0,1,2,3,4,5,6,8
2
5
true
2
5
true
2
5
1
erdos
[(0, 5), (0, 8), (0, 25), (0, 26), (1, 7), (1, 25), (2, 6), (2, 9), (2, 10), (2, 14), (2, 16), (2, 17), (2, 22), (2, 25), (2, 26), (2, 27), (3, 10), (3, 20), (3, 25), (3, 29), (4, 10), (5, 10), (5, 14), (5, 20), (5, 22), (5, 25), (5, 28), (5, 29), (6, 28), (7, 8), (7, 10), (7, 14), (7, 26), (8, 10), (8, 27), (8, 29), (...
30
67
true
20
28
4
23
22,25
1
27
false
1
27
true
1
27
2
erdos
[(0, 1), (0, 2), (0, 25), (1, 2), (1, 24), (1, 25), (2, 24), (2, 25), (2, 26), (3, 6), (3, 22), (4, 6), (4, 7), (4, 8), (4, 9), (5, 6), (5, 8), (5, 9), (6, 7), (6, 22), (8, 9), (10, 11), (10, 12), (10, 13), (10, 16), (11, 12), (11, 13), (11, 14), (11, 15), (12, 13), (12, 15), (12, 18), (13, 14), (13, 15), (14, 15), (16...
27
44
true
25
5
3
5
6,8,9
2
17
false
2
17
false
2
17
-1
erdos
[(0, 2), (0, 4), (1, 3), (1, 5), (2, 3)]
6
5
false
0
0
2
0
2,4
1
2
false
1
2
true
1
2
2
erdos
[(0, 2), (0, 4), (0, 5), (1, 3), (1, 4), (1, 5), (2, 4), (3, 5), (4, 5)]
6
9
true
4
1
3
0
2,4,5
1
2
false
1
2
true
1
2
2
erdos
[(0, 8), (1, 8), (2, 8), (3, 4), (3, 5), (4, 5), (4, 7), (5, 6), (5, 7)]
9
9
true
2
7
2
5
3,4,6,7
3
8
false
3
8
false
3
8
-1
erdos
[(0, 1), (0, 2), (0, 4), (0, 5), (1, 2), (1, 3), (2, 3), (2, 4), (2, 6), (3, 6), (3, 8), (3, 10), (3, 12), (4, 5), (6, 7), (6, 12), (7, 11), (8, 10), (8, 12), (9, 10), (9, 11), (9, 12), (10, 12), (11, 12)]
13
24
true
12
6
4
8
3,10,12
1
9
false
1
9
true
1
9
3