@inproceedings{4076,
abstract = {We present an algorithm to compute a Euclidean minimum spanning tree of a given set S of n points in Ed in time O(Td(N, N) logd N), where Td(n, m) is the time required to compute a bichromatic closest pair among n red and m blue points in Ed. If Td(N, N) = Ω(N1+ε), for some fixed ε > 0, then the running time improves to O(Td(N, N)). Furthermore, we describe a randomized algorithm to compute a bichromatic closets pair in expected time O((nm log n log m)2/3+m log2 n + n log2 m) in E3, which yields an O(N4/3log4/3 N) expected time algorithm for computing a Euclidean minimum spanning tree of N points in E3.},
author = {Agarwal, Pankaj and Edelsbrunner, Herbert and Schwarzkopf, Otfried and Welzl, Emo},
booktitle = {Proceedings of the 6th annual symposium on Computational geometry},
isbn = {978-0-89791-362-1},
location = {Berkeley, CA, United States},
pages = {203 -- 210},
publisher = {ACM},
title = {{ Euclidean minimum spanning trees and bichromatic closest pairs}},
doi = {10.1145/98524.98567},
year = {1990},
}