A nearly finitary matroid that is not \(k\)-nearly finitary
The electronic journal of combinatorics, Tome 31 (2024) no. 1
The class of $k$-nearly finitary matroids for some natural number $k$ is a subclass of the class of nearly finitary matroids. A natural question is whether this inclusion is proper. We answer this question affirmatively by constructing a nearly finitary matroid that is not $k$-nearly finitary for any $k \in \mathbb{N}$.
DOI :
10.37236/10467
Classification :
05B35, 52B40
Mots-clés : \(k\)-nearly finitary matroids
Mots-clés : \(k\)-nearly finitary matroids
Affiliations des auteurs :
Patrick Tam  1
@article{10_37236_10467,
author = {Patrick Tam},
title = {A nearly finitary matroid that is not \(k\)-nearly finitary},
journal = {The electronic journal of combinatorics},
year = {2024},
volume = {31},
number = {1},
doi = {10.37236/10467},
zbl = {1533.05048},
url = {http://geodesic.mathdoc.fr/articles/10.37236/10467/}
}
Patrick Tam. A nearly finitary matroid that is not \(k\)-nearly finitary. The electronic journal of combinatorics, Tome 31 (2024) no. 1. doi: 10.37236/10467
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