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

Date and Time: Thursday, September 17, 2015, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Alexander Pilz (TU Graz)

Good Drawings: Enumeration and Pseudo-Linearity

In this talk, we consider so-called good drawings of the complete graph, which are drawings where two edges intersect at most once, and which are therefore considered to be a generalization of geometric graphs. We discuss isomorphism classes and of such drawings and present our approach for exhaustively generating all isomorphism classes with few vertices. A good drawing is pseudo-linear if each edge can be simultaneously extended to a pseudo-line in a pseudo-line arrangement. We discuss properties of pseudo-linear drawings and sketch a proof showing that a simple property is necessary and sufficient for a good drawing to be pseudo-linear.

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