Multidimensional matrices uniquely recovered by their lines
type: Item
instance of: scholarly article
title: Multidimensional matrices uniquely recovered by their lines
zbMATH Open document ID: 1266.15045
author: Joon Yop Lee
published in: Linear Algebra and its Applications
publication date: 2013-02-22T00:00:00Z
review text: A binary matrix is a lonesum if it can be uniquely recovered by its rows and columns sums. \textit{H. K. Kim}, \textit{D. S. Krotov} and the author [``Poly-Bernoulli numbers and lonesum matrices'', \url{arXiv:1103.4884}] extended several results on such matrices to \(q\)-ary matrices, i.e., to matrices whose entries are in \(\{0,1,\dots,q-1\}\). In this paper, the author provides two possible generalizations of \(q\)-ary lonesum matrices. Methods to determine whether a \(q\)-ary multidimensional matrix is a lonesum are discussed.
Mathematics Subject Classification ID: 15B36
zbMATH DE Number: 6138425
zbMATH Keywords: multidimensional matrices
zbMATH Keywords: lonesum multidimensional matrices
zbMATH Keywords: lonestructure multidimensional matrices
zbMATH Keywords: \(q\)-ary matrices
reviewed by: C. M.da Fonseca
MaRDI profile type: Publication
full work available at URL: j.laa.2012.09.022
OpenAlex ID: W2053188761
cites work: Combinatorial Properties of Matrices of Zeros and Ones
cites work: Matrices of zeros and ones
cites work: Q5445382
cites work: RANKtℋ-PRIMES IN QUANTUM MATRICES
cites work: Combinatorics of \(\mathcal H\)-primes in quantum matrices
cites work: Discrete tomography. Foundations, algorithms, and applications
cites work: Advances in discrete tomography and its applications. Some papers based on the presentations at the workshop on discrete tomography and its applications, New York, NY, USA, June 13--15, 2005.
cites work: Q5434301
DOI: 10.1016/J.LAA.2012.09.022
description: scientific article; zbMATH DE number 6138425