Pokrovskiy, Alexey;
(2020)
Rota's Basis Conjecture holds asymptotically.
ArXiv
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Abstract
Rota's Basis Conjecture is a well known problem from matroid theory, that states that for any collection of n bases in a rank n matroid, it is possible to decompose all the elements into n disjoint rainbow bases. Here an asymptotic version of this is proved. We show that it is possible to find n−o(n) disjoint rainbow independent sets of size n−o(n).
| Type: | Working / discussion paper |
|---|---|
| Title: | Rota's Basis Conjecture holds asymptotically |
| Open access status: | An open access version is available from UCL Discovery |
| Publisher version: | https://doi.org/10.48550/arXiv.2008.06045 |
| Language: | English |
| Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
| Keywords: | math.CO, math.CO, 05B35, 05D15, G.2.1 |
| UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Maths and Physical Sciences > Dept of Mathematics |
| URI: | https://discovery-pp.ucl.ac.uk/id/eprint/10160843 |
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