Plane Spanners of Maximum Degree Six
نویسندگان
چکیده
We consider the question: “What is the smallest degree that can be achieved for a plane spanner of a Euclidean graph E?” The best known bound on the degree is 14. We show that E always contains a plane spanner of maximum degree 6 and stretch factor 6. This spanner can be constructed efficiently in linear time given the Triangular Distance Delaunay triangulation introduced by Chew.
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