There is a planar graph almost as good as the complete graph
SCG '86 Proceedings of the second annual symposium on Computational geometry
Classes of graphs which approximate the complete Euclidean graph
Discrete & Computational Geometry
Routing with guaranteed delivery in ad hoc wireless networks
Wireless Networks
Geometric ad-hoc routing: of theory and practice
Proceedings of the twenty-second annual symposium on Principles of distributed computing
On locally Delaunay geometric graphs
SCG '04 Proceedings of the twentieth annual symposium on Computational geometry
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We explore the extremal properties of the Localized Delaunay Triangulation over networks with heterogeneous ranges. We find theoretical bounds on these properties and compare them with those found via experimentation.