Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, March 09, 2021, 12:15 pm

Duration: 30 minutes

Location: Zoom: conference room

Speaker: Christoph Grunau

A gap in the Randomized Local Computation Complexity Landscape

The Local Computation Algorithm (LCA) model is a popular model in the field of sublinear-time algorithms that measures the complexity of an algorithm by the number of probes the algorithm makes in the neighborhood of one node to determine that node’s output. In this talk, I show that every randomized LCA algorithm for a locally checkable problem with a probe complexity of o(\sqrt{log n}) can be turned into a deterministic LCA algorithm with a probe complexity of O(log*n). I also sketch how additional ideas lead to an Omega(log n) lower bound for the Lovasz Local Lemma (LLL) on constant degree graphs. This talk is based on joint work with Sebastian Brandt and Vasek Rozhon.

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