Numeric partition

Young diagram

A Young diagram is a graphical portrayal of a Numeric partition as rows of left aligned boxes¹. #m/def/comb If is a partition then the corresponding Young diagram has boxes on the th row.

Below are all partitions of in ascending order.

[ ]    [ ][ ]    [ ][ ]    [ ][ ][ ]    [ ][ ][ ][ ]
[ ]    [ ]       [ ][ ]    [ ]
[ ]    [ ]
[ ]

Further terminology

• A modified version is a Young tableau, which contains numbers in the boxes.
• Hook length

#state/tidy | #lang/en | #SemBr