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

Date and Time: Thursday, May 11, 2023, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Saeed Ilchi

Deterministic Distributed Hitting Set

Given a collection of sets, the hitting set problem asks for finding a small set that contains at least one element from each set in the collection. This problem appears as a subproblem in various contexts, and the standard randomized algorithm of sampling each element with a high enough probability is effective for several applications. We design an efficient derandomization for this sampling procedure, leading to closing the gap between the randomized and deterministic results for several problems.

This is based on a joint work with Mohsen Ghaffari, Christoph Grunau, Bernhard Haeupler, and Václav Rozhoň: https://arxiv.org/abs/2209.11669

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