Montgomery, R;
Pokrovskiy, A;
Sudakov, B;
(2021)
A proof of Ringel's conjecture.
Geometric and Functional Analysis
, 31
pp. 663-670.
10.1007/s00039-021-00576-2.
Preview |
Text
Montgomery2021_Article_AProofOfRingelSConjecture.pdf - Published Version Download (996kB) | Preview |
Abstract
A typical decomposition question asks whether the edges of some graph G can be partitioned into disjoint copies of another graph H. One of the oldest and best known conjectures in this area, posed by Ringel in 1963, concerns the decomposition of complete graphs into edge-disjoint copies of a tree. It says that any tree with n edges packs 2n+1 times into the complete graph K2n+1. In this paper, we prove this conjecture for large n.
| Type: | Article |
|---|---|
| Title: | A proof of Ringel's conjecture |
| Open access status: | An open access version is available from UCL Discovery |
| DOI: | 10.1007/s00039-021-00576-2 |
| Publisher version: | https://doi.org/10.1007/s00039-021-00576-2 |
| Language: | English |
| Additional information: | This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. |
| 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/10134972 |
Archive Staff Only
 |
View Item |
