Improved Algorithm for Computing the Maximum-volume Bichromatic Separating Box

12/23/2020

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by   Bogdan Armaselu, et al.

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We consider the problem of computing the largest-area bichromatic separating box among a set of n red points and a set of m blue points in three dimensions. Currently, the best-known algorithm to solve this problem takes O(m^2 (m + n)) time and O(m + n) space. In this paper, we come up with an improved algorithm for the problem, which takes O(m^2 + n) time.