Computing the k-relative neighborhood graphs in Euclidean plane

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摘要

In this paper, we will propose an O(n53logn) algorithm to construct the k-relative neighborhood graph of a n points set in Euclidean plane, for fixed k. Based on this result, the Euclidean bottleneck matching problem can also be solved in the same time complexity. The k-relative neighborhood graph is a generalization of the relative neighborhood graph.

论文关键词:Computational geometry,Pattern recognition,Relative neighborhood graph,Geographical neighborhood graph,Bottleneck matching

论文评审过程:Received 6 June 1989, Revised 25 May 1990, Accepted 2 August 1990, Available online 19 May 2003.

论文官网地址:https://doi.org/10.1016/0031-3203(91)90065-D