A median-type condition for graph tiling
arXiv:1805.03507 · doi:10.1016/j.ejc.2018.11.004
Abstract
Komlos [Tiling Turan theorems, Combinatorica, 20,2 (2000), 203{218] determined the asymptotically optimal minimum degree condition for covering a given proportion of vertices of a host graph by vertex-disjoint copies of a fixed graph. We show that the minimum degree condition can be relaxed in the sense that we require only a given fraction of vertices to have the prescribed degree.
13 pages, 1 figure, accepted to the European Journal of Combinatorics