Generalized \(\Delta\text{--}Y\) exchange and \(k\)-regular matroids
type: Item
instance of: scholarly article
title: Generalized \(\Delta\text{--}Y\) exchange and \(k\)-regular matroids
zbMATH Open document ID: 1024.05017
author: Charles Semple
author: Dirk Vertigan
author: James Oxley
published in: Journal of Combinatorial Theory. Series B
publication date: 2002-12-10T00:00:00Z
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 1843698
zbMATH Keywords: matroid operation
zbMATH Keywords: segment-cosegment exchanges
zbMATH Keywords: regular matroids
MaRDI profile type: Publication
full work available at URL: jctb.1999.1947
OpenAlex ID: W1993456560
cites work: Some Local Extremal Connectivity Results for Matroids
cites work: On Reid's characterization of the ternary matroids
cites work: A simple theorem on 3-connectivity
cites work: Modular Constructions for Combinatorial Geometries
cites work: Q4173891
cites work: The excluded minors for GF(4)-representable matroids
cites work: Weak maps and stabilizers of classes of matroids
cites work: Totally free expansions of matroids.
cites work: On the Uniqueness of Matroid Representations Over GF(4)
cites work: On 3-connected matroids
cites work: ON MATROID CONNECTIVITY
cites work: On the intersections of circuits and cocircuits in matroids
cites work: A characterization of certain excluded-minor classes of matroids
cites work: Q3135082
cites work: Q4217609
cites work: On maximum-sized \(k\)-regular matroids
cites work: Partial fields and matroid representation
cites work: A note on the production of matroid minors
cites work: Matroid representation over GF(3)
cites work: Decomposition of regular matroids
cites work: On minors of non-binary matroids
cites work: Q3249424
cites work: Lectures on matroids
cites work: Connectivity in Matroids
cites work: A characterisation of the matroids representable over GF(3) and the rationals
cites work: On Matroids Representable over 𝐺𝐹(3) and Other Fields
cites work: Stabilizers of classes of representable matroids
DOI: 10.1006/JCTB.1999.1947
Recommended article: \(\Delta\)-matroids with the strong exchange conditions
Recommended article: A generalised exchange theorem for matroid bases
Recommended article: Q4217609
Recommended article: On exchange properties for Coxeter matroids and oriented matroids
Recommended article: Matchings and \(\Delta\)-matroids
Recommended article: Note on exchange axioms for valuated matroids and valuated delta-matroids
Recommended article: Delta-matroids for graph theorists
Recommended article: On basis-exchange properties for matroids
Recommended article: Delta-matroids and Vassiliev invariants
Recommended article: The symmetric exchange property for poset matroids
description: scientific article; zbMATH DE number 1843698