English

Disjoint type graphs with no short odd cycles

Logic 2020-04-10 v1

Abstract

In this note, we provide a proof of a technical result of Erd\H{o}s and Hajnal about the existence of disjoint type graphs with no odd cycles. We also prove that this result is sharp in a certain sense.

Keywords

Cite

@article{arxiv.2004.04189,
  title  = {Disjoint type graphs with no short odd cycles},
  author = {Chris Lambie-Hanson},
  journal= {arXiv preprint arXiv:2004.04189},
  year   = {2020}
}

Comments

6 pages. Unpublished note

R2 v1 2026-06-23T14:44:43.729Z