On pseudomatroid property of matrices
type: Item
instance of: scholarly article
title: On pseudomatroid property of matrices
zbMATH Open document ID: 0946.05021
DOI: 10.1016/S0024-3795(99)00185-8
author: Yanyan Li
published in: Linear Algebra and its Applications
publication date: 2000-10-23T00:00:00Z
review text: The authors present a necessary and sufficient condition for a matrix to have the pseudomatroid property. Pseudosymmetric matrices possessing the pseudomatroid property are introduced as a generalization of quasisymmetric matrices considered by \textit{A. Bouchet} and \textit{A. Duchamp} [Linear Algebra Appl. 146, 67-78 (1991; Zbl 0738.05027)]. Principal unimodularity and perfect balancedness of these matrices are investigated and the case of nonbinary pseudomatroids is studied at the end of the paper.
Mathematics Subject Classification ID: 05B35
Mathematics Subject Classification ID: 05B20
zbMATH DE Number: 1420030
zbMATH Keywords: pseudomatroid
zbMATH Keywords: unimodularity
zbMATH Keywords: perfect balancedness
reviewed by: Mirela Ştefănescu
MaRDI profile type: Publication
cites work: Greedy algorithm and symmetric matroids
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cites work: Representability of \(\bigtriangleup\)-matroids over \(GF(2)\)
cites work: Pseudomatroids
cites work: Integer solution for linear complementarity problem
cites work: Q5722271
cites work: The Factorization of Linear Graphs
Wikidata QID: Q126351593
description: scientific article; zbMATH DE number 1420030