Generalized Delaunay Graphs with respect to any Convex Set are Plane Graphs

Details Generalized Delaunay Graphs with respect to any Convex Set are Plane Graphs Generalized Delaunay Graphs with respect to any Convex Set are Plane Graphs

2010-12-22

arxiv.org/abs/1012.4881v1

Computer Science

Computational Geometry

3 pages, 0 figures. Keywords: geometric graphs, Delaunay graphs, scaled translates, convex sets, planarity

Scientific paper

We consider two types of geometric graphs on point sets on the plane based on a plane set C: one obtained by translates of C, another by positively scaled translates (homothets) of C. For compact and convex C, graphs defined by scaled translates of C, i.e., Delaunay graphs based on C, are known to be plane graphs. We show that as long as C is convex, both types of graphs are plane graphs.

Affiliated with

Also associated with

No associations

Rating

Generalized Delaunay Graphs with respect to any Convex Set are Plane Graphs does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Generalized Delaunay Graphs with respect to any Convex Set are Plane Graphs, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Generalized Delaunay Graphs with respect to any Convex Set are Plane Graphs will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-581779