Non-Concentration Of The Chromatic Number Of A Random Graph
JOURNAL OF THE AMERICAN MATHEMATICAL SOCIETY(2021)
摘要
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 Erd\H{o}s and several other authors.
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