English

Non-concentration of the chromatic number of a random graph

Combinatorics 2021-03-29 v2

Abstract

We show that the chromatic number of Gn,12G_{n, \frac 12} is not concentrated on fewer than n14εn^{\frac 14 - \varepsilon} consecutive values. This addresses a longstanding question raised by Erd\H{o}s and several other authors.

Keywords

Cite

@article{arxiv.1906.11808,
  title  = {Non-concentration of the chromatic number of a random graph},
  author = {Annika Heckel},
  journal= {arXiv preprint arXiv:1906.11808},
  year   = {2021}
}

Comments

14 pages, 1 figure. To appear in JAMS