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Abstract: We maintain the maximum spanning tree of a planar point set, as points are inserted or deleted, in O(log 3 n) time per update in Mulmuley's expected-case model of dynamic geometric computation. We use as subroutines dynamic algorithms for two other geometric graphs: the farthest neighbor forest and the rotating caliper graph related to an algorithm for static computation of point set widths and diameters. We maintain the former graph in time O(log 2 n) per update and the latter in time O(log n) ... (Update)
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BibTeX entry: (Update)
D. Eppstein. Average case analysis of dynamic geometric optimization. In Proc. 5th Symp. on Discrete Algorithms, pages 77 -- 86, 1994. http://citeseer.ist.psu.edu/article/eppstein94average.html More
@inproceedings{ eppstein94average,
author = "Eppstein",
title = "Average Case Analysis of Dynamic Geometric Optimization",
booktitle = "{SODA}: {ACM}-{SIAM} Symposium on Discrete Algorithms (A Conference on Theoretical and Experimental Analysis of Discrete Algorithms)",
year = "1994",
url = "citeseer.ist.psu.edu/article/eppstein94average.html" }
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