Identifier
-
Mp00251:
Graphs
—clique sizes⟶
Integer partitions
Mp00179: Integer partitions —to skew partition⟶ Skew partitions
St001435: Skew partitions ⟶ ℤ
Values
([],1) => [1] => [[1],[]] => 0
([],2) => [1,1] => [[1,1],[]] => 0
([(0,1)],2) => [2] => [[2],[]] => 0
([],3) => [1,1,1] => [[1,1,1],[]] => 0
([(1,2)],3) => [2,1] => [[2,1],[]] => 0
([(0,2),(1,2)],3) => [2,2] => [[2,2],[]] => 0
([(0,1),(0,2),(1,2)],3) => [3] => [[3],[]] => 0
([],4) => [1,1,1,1] => [[1,1,1,1],[]] => 0
([(2,3)],4) => [2,1,1] => [[2,1,1],[]] => 0
([(1,3),(2,3)],4) => [2,2,1] => [[2,2,1],[]] => 0
([(0,3),(1,2)],4) => [2,2] => [[2,2],[]] => 0
([(1,2),(1,3),(2,3)],4) => [3,1] => [[3,1],[]] => 0
([(0,3),(1,2),(1,3),(2,3)],4) => [3,2] => [[3,2],[]] => 0
([(0,1),(0,2),(0,3),(1,2),(1,3),(2,3)],4) => [4] => [[4],[]] => 0
([],5) => [1,1,1,1,1] => [[1,1,1,1,1],[]] => 0
([(3,4)],5) => [2,1,1,1] => [[2,1,1,1],[]] => 0
([(1,4),(2,3)],5) => [2,2,1] => [[2,2,1],[]] => 0
([(2,3),(2,4),(3,4)],5) => [3,1,1] => [[3,1,1],[]] => 0
([(0,1),(2,3),(2,4),(3,4)],5) => [3,2] => [[3,2],[]] => 0
([(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [4,1] => [[4,1],[]] => 0
([(0,1),(0,2),(0,3),(0,4),(1,2),(1,3),(1,4),(2,3),(2,4),(3,4)],5) => [5] => [[5],[]] => 0
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Description
The number of missing boxes in the first row.
Map
to skew partition
Description
The partition regarded as a skew partition.
Map
clique sizes
Description
The integer partition of the sizes of the maximal cliques of a graph.
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