muEC::PART::Border2Part – partition associated to a given border

The muEC::PART::Border2Part function gives the partition associated to the border.

A border delimits the diagram of a partition.

The border is a list of 0 and 1, 0 denoting an horizontal step of the border of the diagram, 1 a vertical one.

→ Examples

Call:

muEC::PART::Border2Part(border, <alphabet = m>)

Parameters:

border

a border

m

returns the same, math denoting horizontal steps, math vertical ones

Related Functions:

muEC::PART::Part2Border, muEC::PART::Part2Conjugate, muEC::PART::Part2Diagonal, muEC::PART::Part2Mat, muEC::TYP::IsBorder, muEC::TYP::IsPart

Example 1:

muEC::PART::Border2Part( [0,1,0,1,0,0,1,1,0,0,1] );

math

muEC::PART::Border2Part( [a,b,a,b,a,a,b,b,a,a,b], alphabet=[a,b] );

math