Embedding Point Sets into Plane Graphs of Small Dilation

Let S be a set of points in the plane. What is the minimum possible dilation of all plane graphs that contain S? Even for a set S as simple as five points evenly placed on the circle, this question seems hard to answer; it is not even clear if there exists a

• Type: Conference
• Year: 2005
• Where: ISAAC
• Authors: Annette Ebbers-Baumann, Ansgar Grüne, Marek Karpinski, Rolf Klein, Christian Knauer, Andrzej Lingas
• Keywords: ISAAC 2005, Minimum Possible Dilation, Plane Graphs