Separated Red Blue Center Clustering

Marzieh Eskandari; Bhavika B. Khare; Nirman Kumar

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arXiv · 2107.07914

Separated Red Blue Center Clustering

Marzieh Eskandari·Bhavika B. Khare·Nirman Kumar

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Abstract

We study a generalization of $k$-center clustering, first introduced by Kavand et. al., where instead of one set of centers, we have two types of centers, $p$ red and $q$ blue, and where each red center is at least $\alpha$ distant from each blue center. The goal is to minimize the covering radius. We provide an approximation algorithm for this problem, and a polynomial time algorithm for the constrained problem, where all the centers must lie on a line $\ell$.

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Marzieh Eskandari, Bhavika B. Khare, Nirman Kumar. 2021-07-16. Separated Red Blue Center Clustering. https://arxiv.org/abs/2107.07914

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