Base exchange properties of graphic matroids
type: Item
instance of: scholarly article
title: Base exchange properties of graphic matroids
zbMATH Open document ID: 0846.05014
DOI: 10.1016/0012-365X(94)00171-E
author: Marcel Wild
published in: Discrete Mathematics
publication date: 1996-03-24T00:00:00Z
review text: New base exchange properties of binary and graphic matroids are derived. The graphic matroids within the class of 4-connected binary matroids are characterized by base exchange properties.
reviewed by: András Recski
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 858088
zbMATH Keywords: base exchange properties
zbMATH Keywords: matroids
MaRDI profile type: Publication
cites work: Higher-order syzygies for the bracket algebra and for the ring of coordinates of the Grassmanian.
cites work: On the Anick-Rota resolution of the bracket ring
cites work: On matroid connectivity
cites work: On the Foundations of Combinatorial Theory: IX Combinatorial Methods in Invariant Theory
cites work: Grassmann-Plücker relations and matroids with coefficients
cites work: Q3786484
cites work: Q3135082
cites work: Decomposition of regular matroids
cites work: Q5571522
cites work: Q4111952
cites work: A unique exchange property for bases
cites work: Theory of Matroids
cites work: Q3028888
cites work: On Rota's problem about \(n\) bases in a rank \(n\) matroid
cites work: Axiomatizing simple binary matroids by their closed circuits
Recommended article: On basis-exchange properties for matroids
Recommended article: A base exchange property for regular matroids
Recommended article: A generalised exchange theorem for matroid bases
Recommended article: Q3558648
Recommended article: An exchange property of matroids
Recommended article: Q4521825
Recommended article: Basis-exchange properties of sparse paving matroids
Recommended article: The \(e\)-exchange basis graph and matroid connectedness
Recommended article: On Sequential Basis Exchange in Matroids
Recommended article: On Serial Symmetric Exchanges of Matroid Bases
description: scientific article; zbMATH DE number 858088