This paper concerns the worst case running time of the minimal
spanning tree algorithm presented by Bentley and Friedman.
For a set of N points in k-dimensional Euclidean space the worst
case performance of the algorithm is shown to be Θ(N2 log N),
for k ≥ 2 and Θ(N2), for k = 1.
@article{Kat1983aJ,
author = {Jyrki Katajainen},
title = {On the worst case of a minimal spanning tree algorithm for
{E}uclidean space},
journaltitle = {BIT},
volume = {23},
number = {1},
year = {1983},
pages = {2--8},
}