Kinetic Clustering of Points on the Line

Cristina G. Fernandes; Marcio T. I. Oshiro

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arXiv · 1512.04303

Kinetic Clustering of Points on the Line

Cristina G. Fernandes·Marcio T. I. Oshiro

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Abstract

The problem of clustering a set of points moving on the line consists of the following: given positive integers n and k, the initial position and the velocity of n points, find an optimal k-clustering of the points. We consider two classical quality measures for the clustering: minimizing the sum of the clusters diameters and minimizing the maximum diameter of a cluster. For the former, we present polynomial-time algorithms under some assumptions and, for the latter, a (2.71 + epsilon)-approximation.

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BibTeX RIS

Cristina G. Fernandes, Marcio T. I. Oshiro. 2015-12-14. Kinetic Clustering of Points on the Line. https://arxiv.org/abs/1512.04303

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