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arXiv · 1906.11808

Non-concentration of the chromatic number of a random graph

Annika Heckel
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Abstract

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

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Annika Heckel. 2020-04-23. Non-concentration of the chromatic number of a random graph. https://doi.org/10.1090/jams%2F957

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