Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001522
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Mapping
St001522: Graphs ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
([],1)
 => 0
([],2)
 => 0
([(0,1)],2)
 => 0
([],3)
 => 0
([(1,2)],3)
 => 2
([(0,2),(1,2)],3)
 => 2
([(0,1),(0,2),(1,2)],3)
 => 0
([],4)
 => 0
([(2,3)],4)
 => 4
([(1,3),(2,3)],4)
 => 6
([(0,3),(1,3),(2,3)],4)
 => 6
([(0,3),(1,2)],4)
 => 0
([(0,3),(1,2),(2,3)],4)
 => 4
([(1,2),(1,3),(2,3)],4)
 => 6
([(0,3),(1,2),(1,3),(2,3)],4)
 => 6
([(0,2),(0,3),(1,2),(1,3)],4)
 => 0
([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
 => 4
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)
 => 0
([],5)
 => 0
([(3,4)],5)
 => 6
([(2,4),(3,4)],5)
 => 10
([(1,4),(2,4),(3,4)],5)
 => 12
([(0,4),(1,4),(2,4),(3,4)],5)
 => 12
([(1,4),(2,3)],5)
 => 4
([(1,4),(2,3),(3,4)],5)
 => 10
([(0,1),(2,4),(3,4)],5)
 => 4
([(2,3),(2,4),(3,4)],5)
 => 12
([(0,4),(1,4),(2,3),(3,4)],5)
 => 10
([(1,4),(2,3),(2,4),(3,4)],5)
 => 14
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
 => 14
([(1,3),(1,4),(2,3),(2,4)],5)
 => 8
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 8
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 14
([(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)
 => 14
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
 => 6
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 12
([(0,4),(1,3),(2,3),(2,4)],5)
 => 6
([(0,1),(2,3),(2,4),(3,4)],5)
 => 6
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
 => 8
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
 => 8
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
 => 0
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => 6
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
 => 10
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
 => 10
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 12
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 12
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 10
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
 => 4
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
 => 4
Description
The total irregularity of a graph. This is the sum of the absolute values of the degree differences of all pairs of vertices: $$ \frac{1}{2}\sum_{u,v} |d_u-d_v| $$