English

A degree sequence version of the K\"uhn-Osthus tiling theorem

Combinatorics 2019-09-30 v1

Abstract

A fundamental result of K\"uhn and Osthus [The minimum degree threshold for perfect graph packings, Combinatorica, 2009] determines up to an additive constant the minimum degree threshold that forces a graph to contain a perfect H-tiling. We prove a degree sequence version of this result which allows for a significant number of vertices to have lower degree.

Keywords

Cite

@article{arxiv.1909.12670,
  title  = {A degree sequence version of the K\"uhn-Osthus tiling theorem},
  author = {Joseph Hyde and Andrew Treglown},
  journal= {arXiv preprint arXiv:1909.12670},
  year   = {2019}
}

Comments

23 pages, 1 figure

R2 v1 2026-06-23T11:28:08.552Z