Department of Computer Science | Institute of Theoretical Computer Science | CADMO

Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

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

Mittagsseminar Talk Information

Date and Time: Thursday, February 24, 2022, 12:15 pm

Duration: 30 minutes

Location: OAT S15/S16/S17

Speaker: Eleonora Eichelberg

Computational Complexity of Counting Crossing-free Structures in a Restricted and Augmented Setting

Counting crossing-free structures on a given point set, in particular triangulations, is a well-known problem. Yet its computational complexity is mostly unknown. In this talk we consider variants of the problem in which we impose conditions on the edge set: either by forbidding edges (so called restricted counting problems) or by requiring edges (so called augmented counting problems). We present some #P-completeness results in this setting and show by the example of counting restricted cycle covers how such results may be obtained by reducing planar #3-SAT.


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