
| Mittagsseminar Talk Information | |
Date and Time: Tuesday, December 12, 2006, 12:15 pm Duration: This information is not available in the database Location: CAB G51 Speaker: Michael Hoffmann Maximizing Angles in Plane Straight Line Graphs (Part I)
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 the classes of triangulations and
spanning trees on S.
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