English

Hitting time of connectedness in the random hypercube process

Probability 2024-04-16 v1 Combinatorics

Abstract

We present a short and self-contained proof of a classical result due to Bollob\'as (1990): in the random hypercube process, with high probability the hitting time of connectedness equals the hitting time of having minimum degree at least one.

Cite

@article{arxiv.2404.09289,
  title  = {Hitting time of connectedness in the random hypercube process},
  author = {Sahar Diskin and Michael Krivelevich},
  journal= {arXiv preprint arXiv:2404.09289},
  year   = {2024}
}

Comments

4 pages

R2 v1 2026-06-28T15:53:48.005Z