Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001072
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Mapping
St001072: Graphs ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
([],1)
 => 1
([],2)
 => 1
([(0,1)],2)
 => 3
([],3)
 => 1
([(1,2)],3)
 => 3
([(0,2),(1,2)],3)
 => 9
([(0,1),(0,2),(1,2)],3)
 => 15
([],4)
 => 1
([(2,3)],4)
 => 3
([(1,3),(2,3)],4)
 => 9
([(0,3),(1,3),(2,3)],4)
 => 27
([(0,3),(1,2)],4)
 => 9
([(0,3),(1,2),(2,3)],4)
 => 27
([(1,2),(1,3),(2,3)],4)
 => 15
([(0,3),(1,2),(1,3),(2,3)],4)
 => 45
([(0,2),(0,3),(1,2),(1,3)],4)
 => 42
([(0,2),(0,3),(1,2),(1,3),(2,3)],4)
 => 78
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4)
 => 156
([],5)
 => 1
([(3,4)],5)
 => 3
([(2,4),(3,4)],5)
 => 9
([(1,4),(2,4),(3,4)],5)
 => 27
([(0,4),(1,4),(2,4),(3,4)],5)
 => 81
([(1,4),(2,3)],5)
 => 9
([(1,4),(2,3),(3,4)],5)
 => 27
([(0,1),(2,4),(3,4)],5)
 => 27
([(2,3),(2,4),(3,4)],5)
 => 15
([(0,4),(1,4),(2,3),(3,4)],5)
 => 81
([(1,4),(2,3),(2,4),(3,4)],5)
 => 45
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
 => 135
([(1,3),(1,4),(2,3),(2,4)],5)
 => 42
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => 126
([(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 78
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => 135
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 234
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4)],5)
 => 204
([(0,3),(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 420
([(0,4),(1,3),(2,3),(2,4)],5)
 => 81
([(0,1),(2,3),(2,4),(3,4)],5)
 => 45
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
 => 135
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
 => 225
([(0,3),(0,4),(1,2),(1,4),(2,3)],5)
 => 123
([(0,1),(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => 213
([(0,3),(0,4),(1,2),(1,4),(2,3),(2,4),(3,4)],5)
 => 411
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
 => 234
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 156
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 468
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => 858
([(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4)],5)
 => 390
([(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,4),(3,4)],5)
 => 801
Description
The evaluation of the Tutte polynomial of the graph at x and y equal to 3.