Space-efficient algorithm for computing a centerpoint of a set of points in R2

Authors

Binay K. Bhattacharya, Simon Fraser University
Subhas C. Nandy, Indian Statistical Institute, Kolkata
Sasanka Roy, Indian Statistical Institute, Kolkata

Article Type

Research Article

Publication Title

Theoretical Computer Science

Abstract

We study a space-efficient algorithm for computing a centerpoint for a set P of n points in R2, where the points in P are given in a read-only array. We propose an algorithm that finds a centerpoint of P in O(T(n2)log3 n) time using O(S(n2)) extra space, where T(n) and S(n) are the time and extra space complexities of computing the median among a set of n elements stored in a read-only array. We also present the applications of this algorithm for computing the Tukey depth and k-hull of a point set in R2.

First Page

61

Last Page

70

DOI

10.1016/j.tcs.2015.11.048

Publication Date

2-15-2016

Recommended Citation

Bhattacharya, Binay K.; Nandy, Subhas C.; and Roy, Sasanka, "Space-efficient algorithm for computing a centerpoint of a set of points in R2" (2016). Journal Articles. 4454.
https://digitalcommons.isical.ac.in/journal-articles/4454