Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000571
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Mapping
St000571: Graphs ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
([],1)
 => 0
([],2)
 => 0
([(0,1)],2)
 => 2
([],3)
 => 0
([(1,2)],3)
 => 2
([(0,2),(1,2)],3)
 => 10
([(0,1),(0,2),(1,2)],3)
 => 24
([],4)
 => 0
([(2,3)],4)
 => 2
([(1,3),(2,3)],4)
 => 10
([(0,3),(1,3),(2,3)],4)
 => 30
([(0,3),(1,2)],4)
 => 4
([(0,3),(1,2),(2,3)],4)
 => 18
([(1,2),(1,3),(2,3)],4)
 => 24
([(0,3),(1,2),(1,3),(2,3)],4)
 => 44
([(0,2),(0,3),(1,2),(1,3)],4)
 => 32
([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
 => 70
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)
 => 108
([],5)
 => 0
([(3,4)],5)
 => 2
([(2,4),(3,4)],5)
 => 10
([(1,4),(2,4),(3,4)],5)
 => 30
([(0,4),(1,4),(2,4),(3,4)],5)
 => 68
([(1,4),(2,3)],5)
 => 4
([(1,4),(2,3),(3,4)],5)
 => 18
([(0,1),(2,4),(3,4)],5)
 => 12
([(2,3),(2,4),(3,4)],5)
 => 24
([(0,4),(1,4),(2,3),(3,4)],5)
 => 38
([(1,4),(2,3),(2,4),(3,4)],5)
 => 44
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
 => 82
([(1,3),(1,4),(2,3),(2,4)],5)
 => 32
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 52
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 70
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => 64
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 108
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
 => 78
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 152
([(0,4),(1,3),(2,3),(2,4)],5)
 => 26
([(0,1),(2,3),(2,4),(3,4)],5)
 => 26
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
 => 52
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
 => 96
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
 => 40
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => 78
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
 => 134
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
 => 90
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 108
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 146
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 190
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
 => 116
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
 => 172
Description
The F-index (or forgotten topological index) of a graph. This is $$\sum_{v \in V(G)} d^3(v) = \sum_{\{u,v\}\in E(G)} \big(d^2(u)+d^2(v)\big)$$ where $d(u)$ is the degree of the vertex $u$.