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

Date and Time: Thursday, November 04, 2021, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Daniel Rutschmann

Chain Configurations with many Triangulations

The minimum and maximum number of triangulations of planar point configurations has been extensively studied. Many of the previously considered examples have a very particular geometric structure.

In this talk, I will consider a particular class of configurations, the so-called chains, that captures this geometric structure while also having a nice algebraic description. I will show that one family of chains in particular admits Ω(9.08ⁿ) triangulations, improving the previous best configuration that achieved Ω(8.65ⁿ) triangulations.

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