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PART::Part2Border -- border of a given partition

Call(s)


PART::Part2Border(part <,alphabet=m>)

Parameters

part- a partition

Options

alphabet=m- returns the same, m[1] denoting horizontal steps, m[2] vertical ones

Use the syntax hold(identifier), instead of identifier, if one of the identifiers above is already defined.

Introduction

The PART::Part2Border function gives the border of the diagram of a partition part.

The border is a list of 0 (horizontal steps) and 1 (vertical steps). border of part, 1 a vertical one.

Example 1

>> muEC::PART::Part2Border( [6,4,4,2,1] );
                     [0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 1]
>> muEC::PART::Part2Border( [6,4,4,2,1], alphabet=[a,b] );
                     [a, b, a, b, a, a, b, b, a, a, b]

Related Functions

Border2Part, Part2Diagonal, Part2Conjugate, Part2Mat, TYP::IsBorder, TYP::IsPart

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MuPAD Combinat, an open source algebraic combinatorics package