On properties of higher-order Delaunay graphs with applications
نویسندگان
چکیده
In this work we study the order-k Delaunay graph, which is formed by edges pq having a circle through p and q and containing no more than k sites. We study the combinatorial structure of the set of triangulations that can be constructed with edges of this graph and show that it is connected under the flip operation if k ≤ 1 and for every k if points are in convex position. We also study the hamiltonicity of the order-k Delaunay graph and give an application to a coloring problem.
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تاریخ انتشار 2005