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

Date and Time: Thursday, September 27, 2007, 12:15 pm

Duration: This information is not available in the database

Location: OAT S15/S16/S17

Speaker: Michael Hoffmann

Maximizing Angles in Plane Straight Line Graphs (Part II)

Let G = (S,E) be a plane straight line graph on a finite point set S subset R^2 in general position. For a point p in S let the maximum incident angle of p in G be the maximum angle between any two edges of G that appear consecutively in the circular order of the edges incident to p. A plane straight line graph is called phi-open if each vertex has an incident angle of size at least phi. We study the following type of question: What is the maximum angle phi such that for any finite set S subset R^2 of points in general position we can find a graph from a certain class of graphs on S that is phi-open? In particular, we determine phi for bounded degree spanning trees.

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