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Separated Red Blue Center Clustering

Authors Marzieh Eskandari , Bhavika Khare , Nirman Kumar

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Author Details

Marzieh Eskandari
  • Department of Computer Science, Alzahra University, Tehran, Iran
Bhavika Khare
  • Department of Computer Science, University of Memphis, TN, USA
Nirman Kumar
  • Department of Computer Science, University of Memphis, TN, USA

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Marzieh Eskandari, Bhavika Khare, and Nirman Kumar. Separated Red Blue Center Clustering. In 32nd International Symposium on Algorithms and Computation (ISAAC 2021). Leibniz International Proceedings in Informatics (LIPIcs), Volume 212, pp. 41:1-41:13, Schloss Dagstuhl – Leibniz-Zentrum fΓΌr Informatik (2021) https://doi.org/10.4230/LIPIcs.ISAAC.2021.41

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 Ξ± 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 𝓁.

Subject Classification

ACM Subject Classification
  • Mathematics of computing β†’ Approximation algorithms
  • Theory of computation β†’ Facility location and clustering
  • Theory of computation β†’ Computational geometry
Keywords
  • Algorithms
  • Facility Location
  • Clustering
  • Approximation Algorithms
  • Computational Geometry

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