The Permanent Rank of a Matrix (Part Two)

Preprints.org 2026 Preprint Open access

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Authors: Yang Yu
DOI: 10.20944/preprints202603.0035.v1
Cited by: 0

Abstract

Define the perrank of an m×n matrix M to be the size of a largest square submatrix with nonzero permanent; if this is equal to m or n, then we say M has full perrank. We derive numerous results on the perrank of a matrix by methods of commutative algebra.

Fields of Study & Subjects

Advanced Combinatorial Mathematics Matrix Theory and Algorithms Rings Modules and Algebras

Publication details

Journal / source
Preprints.org
Publication date
2 March 2026
Language
EN
Document type
Preprint