Rota's Basis Conjecture holds asymptotically
Combinatorics
2020-08-14 v1
Abstract
Rota's Basis Conjecture is a well known problem from matroid theory, that states that for any collection of bases in a rank matroid, it is possible to decompose all the elements into disjoint rainbow bases. Here an asymptotic version of this is proved. We show that it is possible to find disjoint rainbow independent sets of size .
Keywords
Cite
@article{arxiv.2008.06045,
title = {Rota's Basis Conjecture holds asymptotically},
author = {Alexey Pokrovskiy},
journal= {arXiv preprint arXiv:2008.06045},
year = {2020}
}