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Efficient Approximation Algorithms for Point-set Diameter in Higher Dimensions

Mahdi Imanparast; Seyed Naser Hashemi; Ali Mohades

Volume 51, Issue 2 , December 2019, , Pages 47-61

https://doi.org/10.22059/jac.2019.75162

Abstract
  We study the problem of computing the diameter of a  set of $n$ points in $d$-dimensional Euclidean space for a fixed dimension $d$, and propose a new $(1+\varepsilon)$-approximation algorithm with $O(n+ 1/\varepsilon^{d-1})$ time and $O(n)$ space, where $0 < \varepsilon\leqslant 1$. We also ...  Read More