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

Date and Time: Tuesday, November 09, 2010, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Tobias Christ

Covering Polygons with Triangles

Given a simple polygon P, how can we find triangles such that their union equals P? Obviously, we can just take a triangulation of P, which yields a cover of P using n-2 triangles. But now we also allow the triangles to overlap. Maybe we can cover P with fewer than n-2 triangles. In this talk, we are going to look at the computational complexity of this problem and several variants of it. Not very surprisingly, the problem turns out to be NP-hard. We also consider a simple 2-approximation algorithm for the variant where we only want to cover the edges of P.

Joint work with David Tschirky

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