Identifier
Identifier
Values
([],1) generating graphics... => 1
([],2) generating graphics... => 1
([(0,1)],2) generating graphics... => 2
([],3) generating graphics... => 1
([(1,2)],3) generating graphics... => 2
([(0,2),(1,2)],3) generating graphics... => 3
([(0,1),(0,2),(1,2)],3) generating graphics... => 4
([],4) generating graphics... => 1
([(2,3)],4) generating graphics... => 2
([(1,3),(2,3)],4) generating graphics... => 3
([(1,2),(1,3),(2,3)],4) generating graphics... => 4
([(0,3),(1,3),(2,3)],4) generating graphics... => 4
([(0,3),(1,2)],4) generating graphics... => 3
([(0,3),(1,2),(2,3)],4) generating graphics... => 5
([(0,3),(1,2),(1,3),(2,3)],4) generating graphics... => 8
([(0,2),(0,3),(1,2),(1,3)],4) generating graphics... => 6
([(0,2),(0,3),(1,2),(1,3),(2,3)],4) generating graphics... => 10
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) generating graphics... => 11
([],5) generating graphics... => 1
([(3,4)],5) generating graphics... => 2
([(2,4),(3,4)],5) generating graphics... => 3
([(2,3),(2,4),(3,4)],5) generating graphics... => 4
([(1,4),(2,4),(3,4)],5) generating graphics... => 4
([(0,4),(1,4),(2,4),(3,4)],5) generating graphics... => 5
([(1,4),(2,3)],5) generating graphics... => 3
([(1,4),(2,3),(3,4)],5) generating graphics... => 5
([(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 8
([(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 6
([(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 10
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 11
([(0,1),(2,4),(3,4)],5) generating graphics... => 5
([(0,4),(1,4),(2,3),(3,4)],5) generating graphics... => 8
([(0,4),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 12
([(0,4),(1,3),(2,3),(2,4)],5) generating graphics... => 7
([(0,4),(1,3),(2,3),(2,4),(3,4)],5) generating graphics... => 12
([(0,4),(1,2),(1,3),(2,4),(3,4)],5) generating graphics... => 11
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 18
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 12
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 20
([(0,3),(0,4),(1,2),(1,4),(2,3)],5) generating graphics... => 8
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5) generating graphics... => 18
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 25
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5) generating graphics... => 22
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 31
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5) generating graphics... => 28
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 33
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 34
([(0,1),(2,3),(2,4),(3,4)],5) generating graphics... => 7
([(0,3),(1,2),(1,4),(2,4),(3,4)],5) generating graphics... => 13
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5) generating graphics... => 18
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) generating graphics... => 23
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5) generating graphics... => 16
([],6) generating graphics... => 1
([(4,5)],6) generating graphics... => 2
([(3,5),(4,5)],6) generating graphics... => 3
([(3,4),(3,5),(4,5)],6) generating graphics... => 4
([(2,5),(3,5),(4,5)],6) generating graphics... => 4
([(1,5),(2,5),(3,5),(4,5)],6) generating graphics... => 5
([(0,5),(1,5),(2,5),(3,5),(4,5)],6) generating graphics... => 6
([(2,5),(3,4)],6) generating graphics... => 3
([(2,5),(3,4),(4,5)],6) generating graphics... => 5
([(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 8
([(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 6
([(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 10
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 11
([(1,2),(3,5),(4,5)],6) generating graphics... => 5
([(1,5),(2,5),(3,4),(4,5)],6) generating graphics... => 8
([(1,5),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 12
([(1,5),(2,4),(3,4),(3,5)],6) generating graphics... => 7
([(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 12
([(1,5),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 11
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 18
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 12
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 20
([(1,4),(1,5),(2,3),(2,5),(3,4)],6) generating graphics... => 8
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 18
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 25
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 22
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 31
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 28
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 33
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 34
([(1,2),(3,4),(3,5),(4,5)],6) generating graphics... => 7
([(1,4),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 13
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 18
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 23
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 16
([(0,1),(2,5),(3,5),(4,5)],6) generating graphics... => 7
([(0,5),(1,5),(2,5),(3,4),(4,5)],6) generating graphics... => 11
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 16
([(0,5),(1,5),(2,4),(3,4)],6) generating graphics... => 6
([(0,5),(1,5),(2,4),(3,4),(4,5)],6) generating graphics... => 10
([(0,5),(1,5),(2,3),(3,4),(4,5)],6) generating graphics... => 12
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 20
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 15
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 26
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 20
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 34
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 21
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 36
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 17
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 28
([(0,5),(1,5),(2,3),(2,4),(3,4)],6) generating graphics... => 9
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 19
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 30
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 37
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6) generating graphics... => 22
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 34
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 35
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 53
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 50
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 71
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6) generating graphics... => 33
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 49
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6) generating graphics... => 10
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6) generating graphics... => 26
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 48
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 61
([(0,5),(1,4),(2,3)],6) generating graphics... => 4
([(0,1),(2,5),(3,4),(4,5)],6) generating graphics... => 8
([(0,1),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 14
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 22
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 26
([(0,1),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 10
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 18
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 20
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6) generating graphics... => 18
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6) generating graphics... => 33
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 43
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 56
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 72
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 45
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 68
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 82
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 94
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 70
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 88
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 35
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6) generating graphics... => 32
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 49
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 58
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 22
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 45
([(0,5),(1,4),(2,3),(3,5),(4,5)],6) generating graphics... => 12
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6) generating graphics... => 16
([(0,5),(1,4),(2,3),(2,4),(3,5)],6) generating graphics... => 11
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 23
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 29
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 43
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 18
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 37
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6) generating graphics... => 18
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 37
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 49
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 24
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6) generating graphics... => 50
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 74
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 58
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 87
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 47
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6) generating graphics... => 12
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 29
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 41
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 67
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 68
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 96
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 104
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 137
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 127
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 91
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 76
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6) generating graphics... => 70
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 106
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 73
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 112
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6) generating graphics... => 40
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 71
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6) generating graphics... => 47
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6) generating graphics... => 57
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6) generating graphics... => 22
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 55
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 71
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6) generating graphics... => 44
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 78
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 98
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 69
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 86
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 114
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 97
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6) generating graphics... => 48
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 91
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 126
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 100
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 141
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 101
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 149
([(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 155
([(0,1),(0,2),(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 156
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6) generating graphics... => 25
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 63
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 85
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6) generating graphics... => 26
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 74
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 108
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 142
([(0,3),(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 152
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6) generating graphics... => 103
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6) generating graphics... => 118
click to show generating function       
Description
The number of subgraphs.
Given a graph $G$, this is the number of graphs $H$ such that $H \hookrightarrow G$.
Code
def statistic(G):
    return sum(1 for g in graphs(G.num_verts()) if G.subgraph_search(g) is not None)
Created
Jun 13, 2013 at 10:34 by Travis Scrimshaw
Updated
Feb 17, 2015 at 18:10 by Martin Rubey