Finite matchability under the matroidal Hall's condition
Combinatorics
2024-03-13 v2
Abstract
Aharoni and Ziv conjectured that if and are finitary matroids on , then a certain ``Hall-like'' condition is sufficient to guarantee the existence of an -independent spanning set of . We show that their condition ensures that every finite subset of is -spanned by an -independent set.
Keywords
Cite
@article{arxiv.2305.12803,
title = {Finite matchability under the matroidal Hall's condition},
author = {Attila Joó},
journal= {arXiv preprint arXiv:2305.12803},
year = {2024}
}