The almost intersection property for pairs of matroids on common groundset
type: Item
instance of: scholarly article
title: The almost intersection property for pairs of matroids on common groundset
zbMATH Open document ID: 1444.05036
DOI: 10.37236/8881
author: Nathan Bowler
author: Johannes Carmesin
author: Jerzy Wojciechowski
author: Shadisadat Ghaderi
published in: The Electronic Journal of Combinatorics
publication date: 2020-07-29T00:00:00Z
review text: Summary: We introduce the almost intersection property for pairs of possibly infinite matroids on the same groundset. We prove that if such a pair satisfies the Almost Intersection Property then it satisfies the matroid intersection conjecture of Nash-Williams (see [\textit{R. Aharoni} and \textit{R. Ziv}, J. Lond. Math. Soc., II. Ser. 58, No. 3, 513--525 (1998; Zbl 0922.05017)]). We also present some corollaries of that result.
Mathematics Subject Classification ID: 05B35
Mathematics Subject Classification ID: 52B40
zbMATH DE Number: 7225782
zbMATH Keywords: matroid intersection conjecture of Nash-Williams
zbMATH Keywords: packing/covering property
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.37236/8881
OpenAlex ID: W3041552907
cites work: The Intersection of Two Infinite Matroids
cites work: On the intersection of infinite matroids
cites work: Matroid intersection, base packing and base covering for infinite matroids
cites work: Axioms for infinite matroids
description: scientific article; zbMATH DE number 7225782