English

The threshold for the square of a Hamilton cycle

Combinatorics 2020-10-20 v1

Abstract

Resolving a conjecture of K\"uhn and Osthus from 2012, we show that p=1/np= 1/\sqrt{n} is the threshold for the random graph Gn,pG_{n,p} to contain the square of a Hamilton cycle.

Keywords

Cite

@article{arxiv.2010.08592,
  title  = {The threshold for the square of a Hamilton cycle},
  author = {Jeff Kahn and Bhargav Narayanan and Jinyoung Park},
  journal= {arXiv preprint arXiv:2010.08592},
  year   = {2020}
}

Comments

6 pages