Your data matches 1 statistic following compositions of up to 3 maps.
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Matching statistic: St001279
Mapping
Mp00276: Graphs —to edge-partition of biconnected components⟶ Integer partitions
Mp00202: Integer partitions —first row removal⟶ Integer partitions
Mp00044: Integer partitions —conjugate⟶ Integer partitions
St001279: Integer partitions ⟶ ℤResult quality: 100% ●values known / values provided: 100%●distinct values known / distinct values provided: 100%
Values
([(0,2),(1,2)],3)
 => [1,1]
 => [1]
 => [1]
 => 0
([(1,3),(2,3)],4)
 => [1,1]
 => [1]
 => [1]
 => 0
([(0,3),(1,3),(2,3)],4)
 => [1,1,1]
 => [1,1]
 => [2]
 => 2
([(0,3),(1,2)],4)
 => [1,1]
 => [1]
 => [1]
 => 0
([(0,3),(1,2),(2,3)],4)
 => [1,1,1]
 => [1,1]
 => [2]
 => 2
([(0,3),(1,2),(1,3),(2,3)],4)
 => [3,1]
 => [1]
 => [1]
 => 0
([(2,4),(3,4)],5)
 => [1,1]
 => [1]
 => [1]
 => 0
([(1,4),(2,4),(3,4)],5)
 => [1,1,1]
 => [1,1]
 => [2]
 => 2
([(0,4),(1,4),(2,4),(3,4)],5)
 => [1,1,1,1]
 => [1,1,1]
 => [3]
 => 3
([(1,4),(2,3)],5)
 => [1,1]
 => [1]
 => [1]
 => 0
([(1,4),(2,3),(3,4)],5)
 => [1,1,1]
 => [1,1]
 => [2]
 => 2
([(0,1),(2,4),(3,4)],5)
 => [1,1,1]
 => [1,1]
 => [2]
 => 2
([(0,4),(1,4),(2,3),(3,4)],5)
 => [1,1,1,1]
 => [1,1,1]
 => [3]
 => 3
([(1,4),(2,3),(2,4),(3,4)],5)
 => [3,1]
 => [1]
 => [1]
 => 0
([(0,4),(1,4),(2,3),(2,4),(3,4)],5)
 => [3,1,1]
 => [1,1]
 => [2]
 => 2
([(0,4),(1,2),(1,3),(2,4),(3,4)],5)
 => [4,1]
 => [1]
 => [1]
 => 0
([(0,4),(1,3),(2,3),(2,4),(3,4)],5)
 => [3,1,1]
 => [1,1]
 => [2]
 => 2
([(0,4),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => [5,1]
 => [1]
 => [1]
 => 0
([(0,4),(1,3),(2,3),(2,4)],5)
 => [1,1,1,1]
 => [1,1,1]
 => [3]
 => 3
([(0,1),(2,3),(2,4),(3,4)],5)
 => [3,1]
 => [1]
 => [1]
 => 0
([(0,3),(1,2),(1,4),(2,4),(3,4)],5)
 => [3,1,1]
 => [1,1]
 => [2]
 => 2
([(0,3),(0,4),(1,2),(1,4),(2,4),(3,4)],5)
 => [3,3]
 => [3]
 => [1,1,1]
 => 0
([(0,4),(1,2),(1,3),(2,3),(2,4),(3,4)],5)
 => [5,1]
 => [1]
 => [1]
 => 0
([(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5)
 => [6,1]
 => [1]
 => [1]
 => 0
([(3,5),(4,5)],6)
 => [1,1]
 => [1]
 => [1]
 => 0
([(2,5),(3,5),(4,5)],6)
 => [1,1,1]
 => [1,1]
 => [2]
 => 2
([(1,5),(2,5),(3,5),(4,5)],6)
 => [1,1,1,1]
 => [1,1,1]
 => [3]
 => 3
([(0,5),(1,5),(2,5),(3,5),(4,5)],6)
 => [1,1,1,1,1]
 => [1,1,1,1]
 => [4]
 => 4
([(2,5),(3,4)],6)
 => [1,1]
 => [1]
 => [1]
 => 0
([(2,5),(3,4),(4,5)],6)
 => [1,1,1]
 => [1,1]
 => [2]
 => 2
([(1,2),(3,5),(4,5)],6)
 => [1,1,1]
 => [1,1]
 => [2]
 => 2
([(1,5),(2,5),(3,4),(4,5)],6)
 => [1,1,1,1]
 => [1,1,1]
 => [3]
 => 3
([(0,1),(2,5),(3,5),(4,5)],6)
 => [1,1,1,1]
 => [1,1,1]
 => [3]
 => 3
([(2,5),(3,4),(3,5),(4,5)],6)
 => [3,1]
 => [1]
 => [1]
 => 0
([(0,5),(1,5),(2,5),(3,4),(4,5)],6)
 => [1,1,1,1,1]
 => [1,1,1,1]
 => [4]
 => 4
([(1,5),(2,5),(3,4),(3,5),(4,5)],6)
 => [3,1,1]
 => [1,1]
 => [2]
 => 2
([(0,5),(1,5),(2,5),(3,4),(3,5),(4,5)],6)
 => [3,1,1,1]
 => [1,1,1]
 => [3]
 => 3
([(0,5),(1,5),(2,4),(3,4)],6)
 => [1,1,1,1]
 => [1,1,1]
 => [3]
 => 3
([(1,5),(2,3),(2,4),(3,5),(4,5)],6)
 => [4,1]
 => [1]
 => [1]
 => 0
([(0,5),(1,5),(2,3),(3,4),(4,5)],6)
 => [1,1,1,1,1]
 => [1,1,1,1]
 => [4]
 => 4
([(1,5),(2,4),(3,4),(3,5),(4,5)],6)
 => [3,1,1]
 => [1,1]
 => [2]
 => 2
([(0,5),(1,5),(2,4),(3,4),(4,5)],6)
 => [1,1,1,1,1]
 => [1,1,1,1]
 => [4]
 => 4
([(0,5),(1,5),(2,3),(2,4),(3,5),(4,5)],6)
 => [4,1,1]
 => [1,1]
 => [2]
 => 2
([(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
 => [5,1]
 => [1]
 => [1]
 => 0
([(0,5),(1,5),(2,4),(3,4),(3,5),(4,5)],6)
 => [3,1,1,1]
 => [1,1,1]
 => [3]
 => 3
([(0,5),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
 => [5,1,1]
 => [1,1]
 => [2]
 => 2
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5)],6)
 => [4,1,1]
 => [1,1]
 => [2]
 => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5)],6)
 => [6,1]
 => [1]
 => [1]
 => 0
([(0,5),(1,4),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
 => [5,1,1]
 => [1,1]
 => [2]
 => 2
([(0,5),(1,4),(1,5),(2,4),(2,5),(3,4),(3,5),(4,5)],6)
 => [7,1]
 => [1]
 => [1]
 => 0
Description
The sum of the parts of an integer partition that are at least two.