, Volume 9, Issue 1, pp 1-22

The slab dividing approach to solve the EuclideanP-Center problem

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Abstract

Givenn demand points on the plane, the EuclideanP-Center problem is to findP supply points, such that the longest distance between each demand point and its closest supply point is minimized. The time complexity of the most efficient algorithm, up to now, isO(n 2 p−1· logn). In this paper, we present an algorithm with time complexityO(n 0(√P)).

Communicated by Kurt Mehlhorn