Math.Combinat.Diagrams.Partitions.Skew

Young and Ferrers diagrams for skew partitions.

For example, the code

skew = mkSkewPartition ( Partition [9,7,3,2,2,1] , Partition [5,3,2,1] )
drawSkewFerrersDiagram skew

produces

Documentation

drawSkewFerrersDiagram :: Renderable (Path V2 Double) b => SkewPartition -> QDiagram b V2 Double Any

Draws a Ferrers diagram with the default settings (English notation, no inner boxes)

drawSkewFerrersDiagram'

Arguments

:: Renderable (Path V2 Double) b

=> PartitionConvention

orientation

-> Colour Double

color

-> Bool

whether to draw the corner

-> (Bool, Bool)

whether to draw the outer resp. inner boxes

-> SkewPartition

-> QDiagram b V2 Double Any

Example:

drawSkewPartitionBoxesWithInner

Arguments

:: Renderable (Path V2 Double) b

=> (Colour Double, Colour Double)

colors of the outer resp. inner partitions

-> PartitionConvention

-> SkewPartition

-> QDiagram b V2 Double Any

Draws a skew partition as a grid of boxes (sometimes also called Young diagram). We draw the both the inner and the outer partition, in different colors.

drawSkewPartitionBoxes :: forall b. Renderable (Path V2 Double) b => PartitionConvention -> SkewPartition -> QDiagram b V2 Double Any

Draws a skew partition as a grid of boxes (sometimes also called Young diagram). We only draw the boxes of the difference!

Example: