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

Date and Time: Tuesday, February 20, 2024, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Simon Meierhans

Incremental Cycle Detection via Dynamic Minimum Cost Flow

In this talk, I will discuss a new almost-linear time algorithm for maintaining a minimum cost flow on a dynamic graph undergoing edge insertions. This result settles the time complexity of many basic problems on such incremental graphs via simple reductions, including the detection of an occurrence of a directed cycle and the approximate maintenance of st-distances. This talk is based on joint work with Li Chen, Rasmus Kyng, Yang P. Liu, and Maximilian Probst Gutenberg.

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