On some combinatorial properties of algebraic matroids
type: Item
instance of: scholarly article
title: On some combinatorial properties of algebraic matroids
zbMATH Open document ID: 0627.05016
DOI: 10.1007/BF02579199
author: Andreas W. M. Dress
author: László Lovász
published in: Combinatorica
publication date: 1987-01-01T00:00:00Z
review text: The minimax theorem for matroid matching, originally proved for linear matroids only [\textit{L. Lovász}, Acta Sci. Math. 42, 121-131 (1980; Zbl 0449.51008)] is shown to hold for algebraic matroids as well. The main tool of the proof is a generalization of a lemma (implicitly proved by Ingleton and Main, explicitly by Lindström) that if three lines in the algebraic matroid consisting all elements of an algebraically closed field are not coplanar but any two of them are then they pass through one point.
reviewed by: András Recski
Mathematics Subject Classification ID: 05B35
zbMATH DE Number: 4019083
zbMATH Keywords: minimax theorem
zbMATH Keywords: matroid matching
zbMATH Keywords: algebraic matroids
Wikidata QID: Q94696320
MaRDI profile type: Publication
cites work: Non‐Algebraic Matroids exist
cites work: Complexity of Matroid Property Algorithms
cites work: Q3344005
cites work: Q3896158
cites work: Matroid matching and some applications
cites work: Q3680844
full work available at URL: https://doi.org/10.1007/bf02579199
OpenAlex ID: W2022523090
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description: scientific article; zbMATH DE number 4019083