Mittagsseminar (in cooperation with A. Steger, D. Steurer and B. Sudakov)

Date and Time: Tuesday, October 27, 2020, 12:15 pm

Duration: 30 minutes

Location: Zoom: conference room

Speaker: Vaclav Rozhon

Sharp threshold in the complexity of distributed Lovász local lemma

Lovász local lemma (LLL) is among the most important problems studied in the area of distributed local algorithms. We show the problem is easy for LLL criterion p < 2^-d, while already for the criterion p ≤ 2^-d it is known to be much harder. Surprisingly, a crucial part of the proof is to show that certain obscure set is convex. Based on a paper of Brandt, Maus, and Uitto and a joint paper with Brandt and Grunau

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