Relaxed Gabriel Graphs

We study a new family of geometric graphs that interpolate between the Delaunay triangulation and the Gabriel graph. These graphs share many properties with skeletons for [0, 1] (such as sublinear spanning ratio) with the added benefit of planarity (and consequently linear size and local routability).

• Type: Conference
• Year: 2009
• Where: CCCG
• Authors: Prosenjit Bose, Jean Cardinal, Sébastien Collette, Erik D. Demaine, Belén Palop, Perouz Taslakian, Norbert Zeh
• Keywords: CCCG 2007, CCCG 2009, Delaunay Triangulation, Geometric Graphs, Sublinear Spanning Ratio