Claims

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2019_06_27_heckel: Heckel (J. Amer. Math. Soc. 2021): for no c < 1/4 do intervals of length n^c contain the chromatic number of G(n,1/2) with high probability, so it is not concentrated on any constant number of consecutive values; refereed.

2021_03_25_heckel_riordan: Heckel and Riordan (J. London Math. Soc. 2023): for fixed p and c < 1/2, intervals containing the chromatic number of G(n,p) with high probability are longer than n^c for infinitely many n; refereed.

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