## Theory of Combinatorial Algorithms

Prof. Emo Welzl and Prof. Bernd Gärtner

# Mittagsseminar (in cooperation with M. Ghaffari, A. Steger and B. Sudakov)

 Mittagsseminar Talk Information

Date and Time: Wednesday, September 26, 2012, 12:15 pm

Duration: 30 minutes

Location: CAB G51

Speaker: Raimund Seidel (Saarland University)

## An Aggregative Counting Algorithm for the Triangulations of a Planar Point Set

Let $t(P)$ be the number of straight edge triangulations of a planar point set $P$. It is known that $t(P)\geq \Omega(2.4^n)$, where $n=|P|$. We give an algorithm that computes $t(P)$ in time $O(n^2 2^n)$. Thus the algorithm is aggregative'' in the sense that it determines the cardinality of a set substantially faster than by enumerating the elements.

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