On matroids without a non-Fano minor
type: Item
instance of: scholarly article
title: On matroids without a non-Fano minor
zbMATH Open document ID: 0930.05028
DOI: 10.1016/S0012-365X(99)00029-1
author: James F. Geelen
published in: Discrete Mathematics
publication date: 2000-01-30T00:00:00Z
review text: The family of matroids that do not contain the non-Fano matroid or its dual as a minor, are studied in the paper. It is proved that for any connected matroid \(M\), there are just finitely many minor-minimal matroids in the considered family that contain both an \(M\)-minor and a \(U_{2,4}\)-minor (see \textit{J. G. Oxley} [Matroid theory (1992; Zbl 0784.05002)] for notions and terminology). The paper is related to the intertwinning problem.
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 1334494
zbMATH Keywords: matroids
zbMATH Keywords: intertwinning
reviewed by: Nikolai L. Manev
MaRDI profile type: Publication
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Wikidata QID: Q126531512
description: scientific article; zbMATH DE number 1334494