An asymptotic multipartite Kühn-Osthus theorem
Martin, R. R., Mycroft, R. & Skokan, J.
(2017).
An asymptotic multipartite Kühn-Osthus theorem.
SIAM Journal on Discrete Mathematics,
31(3), 1498-1513.
https://doi.org/10.1137/16M1070621
In this paper we prove an asymptotic multipartite version of a well-known theorem of K¨uhn and Osthus by establishing, for any graph H with chromatic number r, the asymptotic multipartite minimum degree threshold which ensures that a large r-partite graph G admits a perfect H-tiling. We also give the threshold for an H-tiling covering all but a linear number of vertices of G, in a multipartite analogue of results of Koml´os and of Shokoufandeh and Zhao.
| Item Type | Article |
|---|---|
| Copyright holders | © 2017 Society for Industrial and Applied Mathematics |
| Departments | LSE > Academic Departments > Mathematics |
| DOI | 10.1137/16M1070621 |
| Date Deposited | 06 Jun 2017 |
| Acceptance Date | 10 Feb 2017 |
| URI | https://researchonline.lse.ac.uk/id/eprint/80196 |
Explore Further
- http://www.lse.ac.uk/Mathematics/people/Jozef-Skokan.aspx (Author)
- https://arxiv.org/pdf/1604.03002 (Publisher)
- https://www.scopus.com/pages/publications/85031712386 (Scopus publication)
- https://www.siam.org/journals/sidma.php (Official URL)
ORCID: https://orcid.org/0000-0003-3996-7676