Mittagsseminar (in cooperation with J. Lengler, A. Steger, and D. Steurer)

Date and Time: Tuesday, December 11, 2018, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Miloš Stojaković (University of Novi Sad)

Bottleneck bichromatic non-crossing matchings using orbits

Given a set of n red and n blue points in the plane, we want to match red points with blue points by straight line segments so that the segments do not cross. Bottleneck matching is such a matching that minimizes the length of the longest segment. We develop a range of tools for dealing with non-crossing matchings of points in convex position, which enable us to solve the problem of finding bottleneck matchings of points in convex position in O(n²) time. Combining the same set of tools with a geometric analysis, we design an O(n)-time algorithm for the case where the given points lie on a circle. Joint work with Marko Savić.

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