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

Date and Time: Thursday, March 03, 2022, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Christoph Grunau

A Near-Optimal Deterministic Parallel Algorithm for (1+eps)-Approximate Shortest Paths

In this talk, I'm gonna present a near-optimal deterministic parallel algorithm for computing (1+eps)-approximate single-source shortest paths in any undirected weighted graph. The high-level idea of the algorithm is a local iterative approach to reduce shortest path computiations "up to distance D" to computing low-diameter decompositions "up to distance D/2". The algorithm also makes use of a boosting framework for transshipment (see Goran's talk). The presented result is based on joint work with Vaclav Rozhon, Bernhard Haeupler, Goran Zuzic and Jason Li.

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