English

Complete minors and average degree -- a short proof

Combinatorics 2022-11-29 v2

Abstract

We provide a short and self-contained proof of the classical result of Kostochka and of Thomason, ensuring that every graph of average degree dd has a complete minor of order d/logdd/\sqrt{\log d}.

Cite

@article{arxiv.2202.08530,
  title  = {Complete minors and average degree -- a short proof},
  author = {Noga Alon and Michael Krivelevich and Benny Sudakov},
  journal= {arXiv preprint arXiv:2202.08530},
  year   = {2022}
}

Comments

3 pages; revised version, minor changes

R2 v1 2026-06-24T09:42:20.599Z