Separated Red Blue Center Clustering

Eskandari, Marzieh; Khare, Bhavika; Kumar, Nirman

doi:10.4230/LIPIcs.ISAAC.2021.41

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Document Identifiers

DOI: 10.4230/LIPIcs.ISAAC.2021.41
URN: urn:nbn:de:0030-drops-154740

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

Cite AsGet BibTex

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 für 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 α 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 → Approximation algorithms
Theory of computation → Facility location and clustering
Theory of computation → Computational geometry

Keywords

Algorithms
Facility Location
Clustering
Approximation Algorithms
Computational Geometry

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