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

Date and Time: Tuesday, February 27, 2024, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Goran Zuzic (Google Research)

Deterministic Polylog-Competitive Routing

This talk will address point-to-point packet routing in undirected distributed networks, which is the most important communication primitive in most networks. Our main contribution is the first polylog-competitive solution to this problem. Specifically, we show that in any undirected network it is possible to give each node simple stateless deterministic local forwarding rules, such that, any adversarially chosen set of packets are delivered as fast as possible, up to polylog factors.

To showcase our techniques, I will demonstrate the main ideas on the simpler case of the hypercube. While a deterministic, but quite complicated, solution was known in the hypercube, our ideas can be generalized to worst-case networks using seminal polylog-competitive oblivious routings of Raecke and hop-constrained oblivious routings of Ghaffari, Haeupler, Zuzic [STOC'20].

Joint work with Bernhard Haeupler, Shyamal Patel, Antti Roeyskoe, and Cliff Stein.

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