Your data matches 1 statistic following compositions of up to 3 maps.
(click to perform a complete search on your data)
Matching statistic: St001802
Mapping
St001802: Graphs ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
([],1)
 => 1
([],2)
 => 4
([(0,1)],2)
 => 2
([],3)
 => 27
([(1,2)],3)
 => 6
([(0,2),(1,2)],3)
 => 6
([(0,1),(0,2),(1,2)],3)
 => 6
([],4)
 => 256
([(2,3)],4)
 => 32
([(1,3),(2,3)],4)
 => 24
([(0,3),(1,3),(2,3)],4)
 => 30
([(0,3),(1,2)],4)
 => 16
([(0,3),(1,2),(2,3)],4)
 => 16
([(1,2),(1,3),(2,3)],4)
 => 24
([(0,3),(1,2),(1,3),(2,3)],4)
 => 14
([(0,2),(0,3),(1,2),(1,3)],4)
 => 32
([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
 => 16
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)
 => 24
([],5)
 => 3125
([(3,4)],5)
 => 250
([(2,4),(3,4)],5)
 => 150
([(1,4),(2,4),(3,4)],5)
 => 150
([(0,4),(1,4),(2,4),(3,4)],5)
 => 260
([(1,4),(2,3)],5)
 => 80
([(1,4),(2,3),(3,4)],5)
 => 80
([(0,1),(2,4),(3,4)],5)
 => 48
([(2,3),(2,4),(3,4)],5)
 => 150
([(0,4),(1,4),(2,3),(3,4)],5)
 => 60
([(1,4),(2,3),(2,4),(3,4)],5)
 => 70
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
 => 48
([(1,3),(1,4),(2,3),(2,4)],5)
 => 160
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 94
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 80
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => 42
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 50
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
 => 180
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 66
([(0,4),(1,3),(2,3),(2,4)],5)
 => 42
([(0,1),(2,3),(2,4),(3,4)],5)
 => 48
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
 => 32
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
 => 32
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
 => 10
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => 28
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
 => 36
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
 => 44
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 120
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 78
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 52
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
 => 48
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
 => 64
Description
The number of endomorphisms of a graph. An endomorphism of a graph $(V, E)$ is a map $f: V\to V$ such that for any edge $(u,v)\in E$ also $\big(f(u), f(v)\big)\in E$.