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

Date and Time: Thursday, February 23, 2012, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Michael Hoffmann

Counting Plane Graphs: Pseudo-Flippability and Applications

We generalize the notions of flippable and simultaneously flippable edges in a triangulation of a set of N points in the plane into so called pseudo-simultaneously flippable edges and prove a worst-case tight lower bound for the number of such edges in a(ny) triangulation. Using this notion we then derive new upper bounds for the maximal number of crossing-free straight-line graphs that can be embedded on any fixed set of N points in the plane. (joint work with Micha Sharir, Adam Sheffer, Csaba D. Tóth and Emo Welzl)

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