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

Date and Time: Thursday, March 29, 2018, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Sebastian Brandt

A Speed-up Technique for Lower Bounds in the LOCAL Model

Recently [STOC '16], the best known lower bound for the distributed Lovász Local Lemma was improved from \Omega(log* n) to \Omega(log log n) by using a new lower bound technique based on the idea that, under certain circumstances, the existence of an algorithm implies the existence of a faster algorithm. This discovery led to other results, among them an exponential separation between randomized and deterministic complexity in the LOCAL model [FOCS '16]. Very recently [SODA '18], a refinement of said technique appeared in the context of edge colorings, facilitating a simpler analysis of the involved speed-up step. In this talk, we will take an in-depth look at the idea behind the lower bound technique and examine its simplified version.

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