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

Date and Time: Thursday, December 07, 2017, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Torsten Mütze

Rainbow cycles in flip graphs

The flip graph of triangulations has as vertices all triangulations of a set of points in convex position, and an edge between any two triangulations that differ in exactly one inner edge. A rainbow cycle in this graph is a cycle in which every inner edge of the triangulation appears and disappears exactly once. This notion of a rainbow cycle extends straightforwardly also to other flip graphs of interest for computer scientists, such as the flip graphs of spanning trees or matchings on a point set, or the flip graphs of permutations or subsets on a ground set. For each of these five settings we prove the existence and non-existence of rainbow cycles for different values of the parameters.
This is joint work with Stefan Felsner, Linda Kleist and Leon Sering.

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