Computing the Dimension of a Bipartition Matrix

This article presents a computer program that computes the dimension of a bipartition matrix. Its dimension has three independent components: row dimension, column dimension, and entry dimension. The program applies four routines of independent interest: (1) a routine that factors a bipartition as a...

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Bibliographic Details
Published in:arXiv.org 2024-01
Main Authors: Dawson, Freeman, Umble, Ronald
Format: Article
Language:English
Subjects:
Rotation
Online Access:Get full text
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Summary:This article presents a computer program that computes the dimension of a bipartition matrix. Its dimension has three independent components: row dimension, column dimension, and entry dimension. The program applies four routines of independent interest: (1) a routine that factors a bipartition as a formal product of indecomposables, (2) a routine that computes the inverse and recovers the bipartition, (3) a routine that factors a bipartition matrix as a formal product of indecomposables, and (4) a routine that calculates the "transpose-rotation" of a bipartition matrix (the column dimension is the row dimension of the transpose-rotation).
ISSN:2331-8422