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

Date and Time: Tuesday, November 25, 2003, 12:15 pm

Duration: This information is not available in the database

Location: This information is not available in the database

Speaker: Michael Hoffmann

Pointed Encompassing Trees

For any set of n disjoint line segments in the plane there exists a binary spanning tree on the segment endpoints in which all segments appear as edges. Moreover, the tree can be constructed in such a way that every vertex is pointed, that is, all edges incident to a vertex lie in a halfplane whose defining line passes through the vertex.

I will discuss this theorem, mention a few related results, and show how it can be applied to obtain a constant (vertex-)degree bound for pseudotriangulations of disjoint line segments.

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