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

Date and Time: Tuesday, February 21, 2023, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Bernhard Haeupler

Intro to Expander Decopositions and Hop-Constrained Expanders

Expander Decompositions have become one of the most ubiquitous, elegant, and versatile tools for fast graph algorithms. Hop-Constrained Expanders are a recent powerful generalization of expanders. They capture not just (\ell^\infty-quantities like) flows, congestion, and cuts but simultaneously also control (\ell ^{1}-quantities like) lengths and costs. Hop-Constrained Expanders majorly extend the problems expanders and expander decompositions can be used for. This talk gives an introduction to expanders and hop-constrained expanders, their expander decompositions, and some graph algorithms build on them (e.g., (h-hop) oblivious routing, dynamic distance oracles, and fast multi-commodity-flow approximation algorithms).

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