English

A note on Hadwiger's conjecture: Another proof that every 4-chromatic graph has a $K_4$ minor

Combinatorics 2023-08-11 v1

Abstract

The first non-obvious case of Hadwiger's Conjecture states that every graph GG with chromatic number at least 4 has a K4K_4 minor. We give a new proof that derives the K4K_4 minor from a proper 3-coloring of a subgraph of GG.

Keywords

Cite

@article{arxiv.2308.05277,
  title  = {A note on Hadwiger's conjecture: Another proof that every 4-chromatic graph has a $K_4$ minor},
  author = {Daniel Cooper McDonald},
  journal= {arXiv preprint arXiv:2308.05277},
  year   = {2023}
}

Comments

2 pages