FUNCTION: Border2Part - partition associated to a given border

CALLING SEQUENCE:

Border2Part(border)

PART[Border2Part](border)

PARAMETERS:

border = a border

SYNOPSIS:

• The 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.

• The following options are available:
  'alphabet' = m where m is a list of length 2, returns the same, m[1] denoting horizontal steps, m[2] vertical ones.

• Whenever there is a conflict between the function name Border2Part and another name used in the same session, use the long form PART['Border2Part'].

EXAMPLES:

> with(PART):
> Border2Part([0,1,0,1,0,0,1,1,0,0,1]);
 
                                [6, 4, 4, 2, 1]
 
> Border2Part([a,b,a,b,a,a,b,b,a,a,b], 'alphabet'=[a,b]);
 
                                [6, 4, 4, 2, 1]