Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St000467
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Mapping
St000467: Graphs ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
([],1)
 => 0
([(0,1)],2)
 => 2
([(0,2),(1,2)],3)
 => 10
([(0,1),(0,2),(1,2)],3)
 => 6
([(0,3),(1,3),(2,3)],4)
 => 24
([(0,3),(1,2),(2,3)],4)
 => 30
([(0,3),(1,2),(1,3),(2,3)],4)
 => 20
([(0,2),(0,3),(1,2),(1,3)],4)
 => 20
([(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)
 => 12
([(0,4),(1,4),(2,4),(3,4)],5)
 => 44
([(0,4),(1,4),(2,3),(3,4)],5)
 => 56
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
 => 40
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 46
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => 46
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 36
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
 => 36
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 32
([(0,4),(1,3),(2,3),(2,4)],5)
 => 70
([(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)
 => 36
([(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)
 => 36
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
 => 32
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
 => 42
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 32
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 28
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
 => 32
([(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)
 => 24
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 20
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
 => 70
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
 => 88
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
 => 66
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
 => 116
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
 => 94
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
 => 78
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
 => 78
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
 => 62
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
 => 92
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
 => 68
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
 => 68
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
 => 58
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
 => 58
([(0,4),(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
 => 54
([(0,5),(1,4),(2,3),(3,5),(4,5)],6)
 => 108
([(0,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
 => 84
([(0,5),(1,4),(1,5),(2,3),(2,5),(3,5),(4,5)],6)
 => 62
([(0,5),(1,4),(2,3),(2,4),(3,5),(4,5)],6)
 => 84
([(0,5),(1,2),(1,4),(2,3),(3,5),(4,5)],6)
 => 78
Description
The hyper-Wiener index of a connected graph. This is $$ \sum_{\{u,v\}\subseteq V} d(u,v)+d(u,v)^2. $$