Department of

# Mathematics

Seminar Calendar
for events the day of Thursday, November 18, 2021.

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Thursday, November 18, 2021

2:00 pm in Altgeld Hall 347,Thursday, November 18, 2021

#### Non-concentration of the chromatic number of a random graph

###### Bob Krueger (UIUC math )

Abstract: In a 2019 breakthrough, Heckel proved that the chromatic number of a uniformly random graph on n vertices is not concentrated on $n^{1/4-o(1)}$ values for all sufficiently large n. I will outline an improvement by Heckel and Riordan which improves the 1/4 to an optimal 1/2, focusing on their use of coupling.