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

Date and Time: Tuesday, April 30, 2019, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Julian Portmann

Improved Network Decompositions and Applications

Network decompositions, or low-diameter graph decompositions, are a fundamental tool in the study of locality in graphs. We present an improved deterministic distributed algorithm for constructing network decompositions of power graphs using small messages. This leads to improvements for a number of other problems: a faster randomized algorithm for computing a Maximal Independent Set, improving on a result of Ghaffari [SODA'19]; faster deterministic distributed algorithms for constructing spanners and approximations of distributed set cover, improving results of Ghaffari and Kuhn [DISC'18]; and faster deterministic distributed algorithms for constructing neighborhood covers, resolving an open question of Elkin [SODA'04]. (joint work with Mohsen Ghaffari)

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