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

Prof. Emo Welzl and Prof. Bernd Gärtner

Mittagsseminar Talk Information |

**Date and Time**: Thursday, November 24, 2005, 12:15 pm

**Duration**: This information is not available in the database

**Location**: This information is not available in the database

**Speaker**: Emo Welzl

Given a set of *n* points in the plane, we consider triangulations
drawn uniformly at random from all triangulations of the point set,
and we derive bounds (in terms of *n*) on the expected number of
vertices of given degree *k*, for *k=3,4,...*.
For degree 3 vertices, lower and upper bounds are *n/43* and *2n/5*, respectively (note
that the number of degree 3 vertices in a triangulation may vary
between 0 and 2n/3).
We also show how these bounds can be employed to infer an
upper bound on the number of triangulations *n* points can have,
improving on previous work by Santos and Seidel.

(Joint work with Micha Sharir.)

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