Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

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

Mittagsseminar Talk Information

Date and Time: Thursday, October 10, 2019, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Vaclav Rozhon

Distributed Derandomization via Network Decomposition

We present a simple polylogarithmic-time deterministic distributed algorithm for network decomposition. This improves on a celebrated exponentially slower algorithm of Panconesi and Srinivasan [STOC'93] and settles one of the long-standing and central questions in distributed graph algorithms. It also leads to the first polylogarithmic-time deterministic distributed algorithms for numerous other graph problems, hence resolving several open problems, including Linial's well-known question about the deterministic complexity of maximal independent set [FOCS'87].

Put together with the results of Ghaffari, Kuhn, and Maus [STOC'17] and Ghaffari, Harris, and Kuhn [FOCS'18], we get a general distributed derandomization result that implies P-RLOCAL = P-LOCAL. That is, for any distributed problem whose solution can be checked in polylogarithmic-time, any polylogarithmic-time randomized algorithm can be derandomized to a polylogarithmic-time deterministic algorithm.

By known connections, our result leads also to substantially faster randomized algorithms for a number of fundamental problems including (Δ+1)-coloring, MIS, and Lovász Local Lemma.

Joint work with Mohsen Ghaffari


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