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On the average length of Delaunay triangulations
Authors:R C Chang  R C T Lee
Institution:(1) Institute of Computer Engineering, National Chiao Tung University, Hsinchu, Taiwan, 300 Republic of China;(2) Department of Electrical Engineering, National Tsing Hua University, Hsinchu, Taiwan, 300 Republic of China
Abstract:We shall show that on the average, the total length of a Delaunay triangulation is of the same order as that of a minimum triangulation, under the assumption that our points are drawn from a homogeneous planar Poisson point distribution.
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