Values
=>
Cc0020;cc-rep
([],1)=>1
([],2)=>1
([(0,1)],2)=>2
([],3)=>1
([(1,2)],3)=>2
([(0,2),(1,2)],3)=>3
([(0,1),(0,2),(1,2)],3)=>4
([],4)=>1
([(2,3)],4)=>2
([(1,3),(2,3)],4)=>3
([(0,3),(1,3),(2,3)],4)=>4
([(0,3),(1,2)],4)=>3
([(0,3),(1,2),(2,3)],4)=>5
([(1,2),(1,3),(2,3)],4)=>4
([(0,3),(1,2),(1,3),(2,3)],4)=>8
([(0,2),(0,3),(1,2),(1,3)],4)=>6
([(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>10
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)=>11
([],5)=>1
([(3,4)],5)=>2
([(2,4),(3,4)],5)=>3
([(1,4),(2,4),(3,4)],5)=>4
([(0,4),(1,4),(2,4),(3,4)],5)=>5
([(1,4),(2,3)],5)=>3
([(1,4),(2,3),(3,4)],5)=>5
([(0,1),(2,4),(3,4)],5)=>5
([(2,3),(2,4),(3,4)],5)=>4
([(0,4),(1,4),(2,3),(3,4)],5)=>8
([(1,4),(2,3),(2,4),(3,4)],5)=>8
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)=>12
([(1,3),(1,4),(2,3),(2,4)],5)=>6
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)=>11
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>10
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>12
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>18
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)=>12
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>20
([(0,4),(1,3),(2,3),(2,4)],5)=>7
([(0,1),(2,3),(2,4),(3,4)],5)=>7
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)=>13
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)=>16
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)=>8
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)=>18
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)=>25
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)=>18
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>11
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>23
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>31
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)=>22
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)=>28
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>33
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)=>34
([],6)=>1
([(4,5)],6)=>2
([(3,5),(4,5)],6)=>3
([(2,5),(3,5),(4,5)],6)=>4
([(1,5),(2,5),(3,5),(4,5)],6)=>5
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)=>6
([(2,5),(3,4)],6)=>3
([(2,5),(3,4),(4,5)],6)=>5
([(1,2),(3,5),(4,5)],6)=>5
([(3,4),(3,5),(4,5)],6)=>4
([(1,5),(2,5),(3,4),(4,5)],6)=>8
([(0,1),(2,5),(3,5),(4,5)],6)=>7
([(2,5),(3,4),(3,5),(4,5)],6)=>8
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)=>11
([(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>12
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>16
([(2,4),(2,5),(3,4),(3,5)],6)=>6
([(0,5),(1,5),(2,4),(3,4)],6)=>6
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>11
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)=>12
([(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>10
([(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>12
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)=>10
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>17
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>18
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>20
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>28
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>12
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>15
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>20
([(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>20
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>26
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>34
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>21
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>36
([(0,5),(1,4),(2,3)],6)=>4
([(1,5),(2,4),(3,4),(3,5)],6)=>7
([(0,1),(2,5),(3,4),(4,5)],6)=>8
([(1,2),(3,4),(3,5),(4,5)],6)=>7
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)=>12
([(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>13
([(0,1),(2,5),(3,4),(3,5),(4,5)],6)=>14
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>22
([(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>16
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>26
([(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>8
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>18
([(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>18
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)=>18
([(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>18
([(0,5),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>16
([(0,5),(1,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>37
([(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>37
([(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>25
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>49
([(0,5),(1,4),(2,3),(2,4),(3,5)],6)=>11
([(0,1),(2,4),(2,5),(3,4),(3,5)],6)=>10
([(0,5),(1,5),(2,3),(2,4),(3,4)],6)=>9
([(0,4),(1,2),(1,3),(2,5),(3,5),(4,5)],6)=>18
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5)],6)=>22
([(0,4),(1,2),(2,5),(3,4),(3,5),(4,5)],6)=>23
([(0,1),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>18
([(0,4),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>19
([(0,3),(0,4),(1,2),(1,5),(2,5),(3,5),(4,5)],6)=>33
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,5),(4,5)],6)=>35
([(0,4),(1,2),(1,5),(2,5),(3,4),(3,5),(4,5)],6)=>34
([(0,1),(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>49
([(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>11
([(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>30
([(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>23
([(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>37
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>24
([(0,3),(0,5),(1,3),(1,5),(2,4),(2,5),(3,4),(4,5)],6)=>50
([(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>45
([(0,5),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>53
([(0,1),(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>47
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>74
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>50
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>31
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>43
([(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>71
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>58
([(0,4),(0,5),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>87
([(0,5),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>22
([(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>22
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>49
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>28
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>58
([(0,4),(0,5),(1,2),(1,3),(2,5),(3,4)],6)=>12
([(0,3),(0,5),(1,2),(1,5),(2,4),(3,4),(4,5)],6)=>22
([(0,5),(1,2),(1,4),(2,3),(3,4),(3,5),(4,5)],6)=>32
([(0,1),(0,2),(1,5),(2,4),(3,4),(3,5),(4,5)],6)=>29
([(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>29
([(0,5),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5)],6)=>35
([(0,1),(0,5),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>55
([(0,4),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>56
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,5),(4,5)],6)=>47
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>71
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5)],6)=>25
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(3,5),(4,5)],6)=>45
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>69
([(0,4),(0,5),(1,2),(1,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>63
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>97
([(0,5),(1,2),(1,3),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>70
([(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>33
([(0,5),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>72
([(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>88
([(0,4),(0,5),(1,2),(1,4),(2,3),(2,5),(3,4),(3,5),(4,5)],6)=>78
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>57
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>98
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>114
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5)],6)=>26
([(0,1),(0,2),(0,3),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>74
([(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>86
([(0,3),(0,4),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,5),(4,5)],6)=>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)=>118
([(0,4),(0,5),(1,2),(1,3),(2,3),(4,5)],6)=>10
([(0,2),(1,4),(1,5),(2,3),(3,4),(3,5),(4,5)],6)=>33
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(4,5)],6)=>26
([(0,1),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>20
([(0,1),(0,5),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>48
([(0,1),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>43
([(0,1),(0,5),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>61
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,5),(3,4),(4,5)],6)=>40
([(0,4),(0,5),(1,2),(1,3),(1,4),(2,3),(2,5),(3,5),(4,5)],6)=>70
([(0,3),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>68
([(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>71
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>67
([(0,3),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>106
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)=>73
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>112
([(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4)],6)=>44
([(0,1),(0,5),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>41
([(0,3),(0,4),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>68
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)=>76
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,5),(3,4)],6)=>48
([(0,1),(0,3),(0,5),(1,2),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>91
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>91
([(0,1),(0,4),(0,5),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>126
([(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)=>141
([(0,2),(0,5),(1,3),(1,4),(1,5),(2,3),(2,4),(3,4),(3,5),(4,5)],6)=>96
([(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>85
([(0,4),(0,5),(1,2),(1,3),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>127
([(0,5),(1,2),(1,3),(1,4),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>82
([(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>34
([(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>94
([(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)=>137
([(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)=>152
([(0,3),(0,4),(0,5),(1,2),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>100
([(0,4),(0,5),(1,2),(1,3),(1,4),(1,5),(2,3),(2,4),(2,5),(3,4),(3,5)],6)=>104
([(0,1),(0,4),(0,5),(1,2),(1,3),(2,3),(2,4),(2,5),(3,4),(3,5),(4,5)],6)=>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)=>142
([(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)=>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)=>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)=>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)=>156
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Description
The number of subgraphs.
Given a graph $G$, this is the number of graphs $H$ such that $H \hookrightarrow G$.
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
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