Jeff Kahn, Bhargav Narayanan, Jinyoung Park·2020-10-17·via math.CO updates on arXiv.org
Resolving a conjecture of Kühn and Osthus from 2012, we show that $p= 1/\sqrt{n}$ is the threshold for the random graph $G_{n,p}$ to contain the square of a Hamilton cycle.